Table of contents for issues of Mathematical Tables and Other Aids to Computation

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Volume 4, Number 29, January, 1950
Volume 4, Number 30, April, 1950
Volume 4, Number 31, July, 1950
Volume 4, Number 32, October, 1950
Volume 5, Number 33, January, 1951
Volume 5, Number 34, April, 1951
Volume 5, Number 35, July, 1951
Volume 5, Number 36, October, 1951
Volume 6, Number 37, January, 1952
Volume 6, Number 38, April, 1952
Volume 6, Number 39, July, 1952
Volume 6, Number 40, October, 1952
Volume 7, Number 41, January, 1953
Volume 7, Number 42, April, 1953
Volume 7, 1953
Volume 7, Number 42, April, 1953
Volume 7, Number 43, July, 1953
Volume 7, Number 44, October, 1953
Volume 8, Number 45, January, 1954
Volume 8, Number 46, April, 1954
Volume 8, Number 47, July, 1954
Volume 8, Number 48, October, 1954
Volume 9, Number 49, January, 1955
Volume 9, Number 50, April, 1955
Volume 9, Number 51, July, 1955
Volume 9, Number 52, October, 1955
Volume 10, Number 53, January, 1956
Volume 10, Number 54, April, 1956
Volume 10, Number 55, July, 1956
Volume 10, Number 56, October, 1956
Volume 11, Number 57, January, 1957
Volume 11, Number 58, April, 1957
Volume 11, Number 59, July, 1957
Volume 11, Number 60, October, 1957
Volume 12, Number 61, January, 1958
Volume 12, Number 62, April, 1958
Volume 12, Number 63, July, 1958
Volume 12, Number 64, October, 1958
Volume 13, Number 65, January, 1959
Volume 13, Number 66, April, 1959
Volume 13, Number 67, July, 1959
Volume 13, Number 68, October, 1959


Mathematical Tables and Other Aids to Computation
Volume 4, Number 29, January, 1950

                    R. C. Gibbs   Note of Appreciation . . . . . . . . . . 1--1
              Albert A. Bennett   Raymond Clare Archibald  . . . . . . . . 1--2
                J. C. P. Miller   Checking by Differences---I  . . . . . . 3--11
          George W. Reitwiesner   An ENIAC Determination of $\pi$ and $e$
                                  to more than 2000 Decimal Places . . . . 11--15
                Arnold A. Cohen   Technical Developments: Magnetic Drum
                                  Storage for Digital Information
                                  Processing Systems (in Automatic
                                  Computing Machinery) . . . . . . . . . . 31--39
                      Anonymous   Notes on Modern Numerical Analysis---I
                                  (in Automatic Computing Machinery;
                                  Discussions) . . . . . . . . . . . . . . 39--39
                      John Todd   Solution of Differential Equations by
                                  Recurrence Relations (in Automatic
                                  Computing Machinery; Discussions)  . . . 39--44
              G. A. Montgomerie   Addition and Subtraction on a
                                  Logarithmic Slide Rule (in Other Aids to
                                  Computation) . . . . . . . . . . . . . . 53--53
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 59--59

Mathematical Tables and Other Aids to Computation
Volume 4, Number 30, April, 1950

               M. V. Wilkes and   
                     W. Renwick   The EDSAC (Electronic Delay Storage
                                  Automatic Calculator)  . . . . . . . . . 61--65
             Stanley P. Frankel   Convergence Rates of Iterative
                                  Treatments of Partial Differential
                                  Equations  . . . . . . . . . . . . . . . 65--75
                  R. H. Ritchie   On a Definite Integral . . . . . . . . . 75--77
                   H. D. Huskey   Technical Developments: Characteristics
                                  of the Institute for Numerical Analysis
                                  Computer (in Automatic Computing
                                  Machinery) . . . . . . . . . . . . . . . 103--108
           N. C. Metropolis and   
             G. Reitwiesner and   
                 J. von Neumann   Statistical treatment of values of first
                                  $2,000$ decimal digits of $e$ and of
                                  $\pi$ calculated on the ENIAC  . . . . . 109--111
                   Olga Taussky   Notes on Numerical Analysis---2. Note on
                                  the Condition of Matrices  . . . . . . . 111--112
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 125--125

Mathematical Tables and Other Aids to Computation
Volume 4, Number 31, July, 1950

         George E. Forsythe and   
             Richard A. Leibler   Matrix Inversion by a Monte Carlo Method 127--129
                   D. H. Sadler   Maximum-Interval Tables  . . . . . . . . 129--132
                       F. J. M.   Planning and Error Considerations for
                                  the Numerical Solution of a System of
                                  Differential Equations on a Sequence
                                  Calculator . . . . . . . . . . . . . . . 133--144
                      MDL Staff   Technical Developments: The
                                  Incorporation of Subroutines into a
                                  Complete Problem on the NBS Eastern
                                  Automatic Computer (in Automatic
                                  Computing Machinery) . . . . . . . . . . 164--168
                  G. R. Stibitz   A Note on ``Is'' and ``Might Be'' in
                                  Computers (in Automatic Computing
                                  Machinery; Discussions)  . . . . . . . . 168--169
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 180--180

Mathematical Tables and Other Aids to Computation
Volume 4, Number 32, October, 1950

                        A. Reiz   On a Special Case of a Quadrature
                                  Formula of Christoffel . . . . . . . . . 181--185
                R. C. Archibald   New Information Concerning Isaac
                                  Wolfram's Life and Calculations  . . . . 185--200
                  L. Couffignal   Technical Developments: Report on the
                                  Machine of the Institut Blaise Pascal
                                  (in Automatic Computing Machinery) . . . 225--229
Electronic Laboratory Staff at N. B. S.   The Operating Characteristics of the
                                  SEAC (in Automatic Computing Machinery)  229--230
            J. O. Harrison, Jr.   Binary--Decimal Conversion on a Desk
                                  Calculator (in Automatic Computing
                                  Machinery; Discussions)  . . . . . . . . 231--234
                      Anonymous   Bibliography Z --- XIII  . . . . . . . . 234--238
                      Anonymous   News . . . . . . . . . . . . . . . . . . 238--239
                      Anonymous   Bibliography Z--XIII . . . . . . . . . . 239--244
               Fred Gruenberger   Tests of random digits . . . . . . . . . 244--245
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 246--246


Mathematical Tables and Other Aids to Computation
Volume 5, Number 33, January, 1951

           D. F. Votaw, Jr. and   
                 J. A. Rafferty   High Speed Sampling  . . . . . . . . . . 1--8
                   H. E. Salzer   Radix Table for Trigonometric Functions
                                  and their Inverses to High Accuracy  . . 9--11
            Goran Kjellberg and   
                  Gosta Neovius   Technical Developments: The BARK, A
                                  Swedish General Relay Computer (in
                                  Automatic Computing Machinery) . . . . . 29--34
             C. W. Clenshaw and   
                 F. W. J. Olver   Notes on Numerical Analysis---3:
                                  Solution of Differential Equations by
                                  Recurrence Relations (in Automatic
                                  Computing Machinery; Discussions)  . . . 34--39
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 55--55

Mathematical Tables and Other Aids to Computation
Volume 5, Number 34, April, 1951

                 Paul L. Morton   The California Digital Computer  . . . . 57--61
                 Samuel Herrick   Step-by-Step Integration of $\ddot x =
                                  f(x, y, z, t)$ without a ``Corrector''   61--67
                   H. E. Salzer   Formulas for Calculating the Error
                                  Function of a Complex Variable . . . . . 67--70
                      Anonymous   Technical Developments (in Automatic
                                  Computing Machinery) . . . . . . . . . . 86--86
        Donald B. MacMillan and   
               Richard H. Stark   ``Floating Decimal'' Calculation on the
                                  IBM Card Programmed Electronic
                                  Calculator (in Automatic Computing
                                  Machinery; Discussions)  . . . . . . . . 86--92
                         L. Fox   Notes on Numerical Analysis---4:
                                  Relaxation and Step-by-Step Methods (in
                                  Automatic Computing Machinery;
                                  Discussions) . . . . . . . . . . . . . . 92--95
             C. P. Atkinson and   
                   A. S. Levens   A New Differentiating Machine (in Other
                                  Aids to Computation) . . . . . . . . . . 99--102
                      Anonymous   Bibliography Z--XV . . . . . . . . . . . 102--108
           Fred Gruenberger and   
                     A. M. Mark   The $d^2$ test of random digits  . . . . 109--110
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 113--113

Mathematical Tables and Other Aids to Computation
Volume 5, Number 35, July, 1951

                   Ascher Opler   Monte Carlo Matrix Calculation with
                                  Punched Card Machines  . . . . . . . . . 115--120
               Wilton R. Abbott   Computing Logical Truth with the
                                  California Digital Computer  . . . . . . 120--128
                     Max Lotkin   On the Accuracy of Runge--Kutta's Method 128--133
                     L. Fox and   
                J. C. P. Miller   Notes on Numerical Analysis---5:
                                  Table-Making for Large Arguments. The
                                  Exponential Integral (in Automatic
                                  Computing Machinery) . . . . . . . . . . 163--166
                          J. T.   Editorial Note (in Automatic Computing
                                  Machinery) . . . . . . . . . . . . . . . 167--167
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 184--184

Mathematical Tables and Other Aids to Computation
Volume 5, Number 36, October, 1951

                  G. Blanch and   
                   E. C. Yowell   A Guide to Tables on Punched Cards . . . 185--212
                   H. E. Salzer   Formulas for Finding the Argument for
                                  which a Function has a Given Derivative  213--215
                       P. Stein   Technical Developments: Provision for
                                  Expansion in the SEAC (in Automatic
                                  Computing Machinery) . . . . . . . . . . 232--240
           John E. Maxfield and   
             Frederick V. Waugh   A Graphic Solution of Simultaneous
                                  Linear Equations (in Other Aids to
                                  Computation) . . . . . . . . . . . . . . 246--248
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 259--259


Mathematical Tables and Other Aids to Computation
Volume 6, Number 37, January, 1952

                Granino A. Korn   The Difference Analyzer: a Simple
                                  Differential Equation Solver . . . . . . 1--8
         George E. Forsythe and   
            Theodore S. Motzkin   An Extension of Gauss' Transformation
                                  for Improving the Condition of Systems
                                  of Linear Equations  . . . . . . . . . . 9--17
                  R. E. Sprague   Technical Developments: Fundamental
                                  Concepts of the Digital Differential
                                  Analyzer Method of Computation (in
                                  Automatic Computing Machinery) . . . . . 41--49
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 61--61

Mathematical Tables and Other Aids to Computation
Volume 6, Number 38, April, 1952

                   P. Brock and   
                   F. J. Murray   The Use of Exponential Sums in Step by
                                  Step Integration . . . . . . . . . . . . 63--78
                    W. R. Wasow   A Note on the Inversion of Matrices by
                                  Random Walks . . . . . . . . . . . . . . 78--81
                  John F. Donan   Technical Developments: The
                                  Serial-Memory Digital Differential
                                  Analyzer (in Automatic Computing
                                  Machinery) . . . . . . . . . . . . . . . 102--112
              R. A. Brooker and   
                    S. Gill and   
                  D. J. Wheeler   The Adventures of a Blunder (in
                                  Automatic Computing Machinery;
                                  Discussions) . . . . . . . . . . . . . . 112--113
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 126--126

Mathematical Tables and Other Aids to Computation
Volume 6, Number 39, July, 1952

                   D. Teichroew   Use of Continued Fractions in High Speed
                                  Computing  . . . . . . . . . . . . . . . 127--133
             B. A. Griffith and   
                  K. W. Smillie   On a Punched-Card Method of Solving
                                  Certain Integral Equations . . . . . . . 133--138
                   P. Brock and   
                   F. J. Murray   The Use of Exponential Sums in Step by
                                  Step Integration---II  . . . . . . . . . 138--150
                     T. Pearcey   Technical Developments: An Automatic
                                  Computer in Australia (in Automatic
                                  Computing Machinery) . . . . . . . . . . 167--172
                 David P. Perry   Minimum Access Programming (in Automatic
                                  Computing Machinery; Discussions)  . . . 172--182
                 Landis Gephart   Linear Algebraic Systems and the REAC
                                  (in Other Aids to Computation) . . . . . 190--203

Mathematical Tables and Other Aids to Computation
Volume 6, Number 40, October, 1952

                    J. Jay Wolf   The Office of Naval Research Relay
                                  Computer . . . . . . . . . . . . . . . . 207--212
                A. M. Ostrowski   On the Rounding Off of Difference Tables
                                  for Linear Interpolation . . . . . . . . 212--214
                 Yudell L. Luke   Mechanical Quadrature Near a Singularity 215--219
                Gertrude Blanch   On the Numerical Solution of Equations
                                  Involving Differential Operators With
                                  Constant Coefficients  . . . . . . . . . 219--223
                      S. Lubkin   Asynchronous Signals in Digital
                                  Computers (in Automatic Computing
                                  Machinery; Discussions)  . . . . . . . . 238--241
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 257--257


Mathematical Tables and Other Aids to Computation
Volume 7, Number 41, January, 1953

            Gertrude Blanch and   
              Everett C. Yowell   Addendum to a Guide to Tables on Punched
                                  Cards  . . . . . . . . . . . . . . . . . 1--6
                       D. H. L.   The Sieve Problem for All-Purpose
                                  Computers  . . . . . . . . . . . . . . . 6--14
                         L. Fox   The Use of Large Intervals in
                                  Finite-Difference Equations  . . . . . . 14--18
                H. P. Edmundson   Monte Carlo Matrix Inversion and
                                  Recurrent Events . . . . . . . . . . . . 18--21
                    J. J. Stone   Technical Developments: The
                                  USAF--Fairchild Specialized Computer (in
                                  Automatic Computing Machinery) . . . . . 34--37
              R. A. Brooker and   
                  D. J. Wheeler   Floating Operations on the EDSAC (in
                                  Automatic Computing Machinery;
                                  Discussions) . . . . . . . . . . . . . . 37--47
           Max G. Scherberg and   
                John F. Riordan   Analogue Calculation of Polynomial and
                                  Trigonometric Expansions (in Other Aids
                                  to Computation)  . . . . . . . . . . . . 61--65
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 72--72

Mathematical Tables and Other Aids to Computation
Volume 7, Number 42, April, 1953

            H. J. Gray, Jr. and   
                M. Rubinoff and   
                       H. Sohon   A Technique for Real Time Simulation of
                                  a Rigid Body Problem . . . . . . . . . . 73--77
        Gabriel G. Bejarano and   
            Bruce R. Rosenblatt   A Solution of Simultaneous Linear
                                  Equations and Matrix Inversion With High
                                  Speed Computing Devices  . . . . . . . . 77--81
                 A. de la Garza   Error Bounds of Approximate Solutions to
                                  Systems of Linear Algebraic Equations    81--84
                  Gerald Estrin   Technical Developments: The Electronic
                                  Computer at the Institute for Advanced
                                  Study (in Automatic Computing Machinery) 108--114

Mathematical Tables and Other Aids to Computation
Volume 7, 1953

             J. von Neumann and   
                H. H. Goldstine   A numerical study of a conjecture of
                                  Kummer . . . . . . . . . . . . . . . . . 133--134

Mathematical Tables and Other Aids to Computation
Volume 7, Number 42, April, 1953

                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 134--134

Mathematical Tables and Other Aids to Computation
Volume 7, Number 43, July, 1953

              E. C. Du Fort and   
                  S. P. Frankel   Stability Conditions in the Numerical
                                  Treatment of Parabolic Differential
                                  Equations  . . . . . . . . . . . . . . . 135--152
                   A. Ostrowski   On Over and Under Relaxation in the
                                  Theory of the Cyclic Single Step
                                  Iteration  . . . . . . . . . . . . . . . 152--159
             Theodore E. Sterne   The Accuracy of Numerical Solutions of
                                  Ordinary Differential Equations  . . . . 159--164
                  K. E. Iverson   The Zeros of the Partial Sums of $e^z$   165--168
              J. P. Walker, Jr.   Technical Developments: a Special
                                  Purpose Digital Computer (in Automatic
                                  Computing Machinery) . . . . . . . . . . 190--195
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 213--213

Mathematical Tables and Other Aids to Computation
Volume 7, Number 44, October, 1953

              Robert T. Gregory   Computing Eigenvalues and Eigenvectors
                                  of a Symmetric Matrix on the ILLIAC  . . 215--220
             George E. Forsythe   A Numerical Analyst's Fifteen-Foot Shelf 221--228
              Edward Saibel and   
                   W. J. Berger   On Finding the Characteristic Equation
                                  of a Square Matrix . . . . . . . . . . . 228--236
                      Anonymous   Recent Mathematical Tables . . . . . . . 236--246
                      Anonymous   Mathematical Tables --- Errata . . . . . 246--247
                      Anonymous   Unpublished Mathematical Tables  . . . . 247--249
                     John Greig   Technical Developments: The Circle
                                  Computer (in Automatic Computing
                                  Machinery) . . . . . . . . . . . . . . . 249--255
                      Anonymous   Bibliography of Coding Procedure . . . . 256--256
                      Anonymous   Bibliography Z . . . . . . . . . . . . . 256--266
                      Anonymous   News . . . . . . . . . . . . . . . . . . 266--268
                      Anonymous   Bibliography Z . . . . . . . . . . . . . 268--272
               W. F. Cahill and   
                   Philip Davis   Note: On a computation of the capacity
                                  of a cube  . . . . . . . . . . . . . . . 272--273
                   Walter Soden   Note: a Method of Radix Conversion . . . 273--274
                J. L. Selfridge   Note: Factors of Fermat numbers  . . . . 274--275
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 275--275
                      Anonymous   Volume Information . . . . . . . . . . . 276--289
                      Anonymous   Back Matter  . . . . . . . . . . . . . . ??


Mathematical Tables and Other Aids to Computation
Volume 8, Number 45, January, 1954

                Gertrude Blanch   On Modified Divided Differences I  . . . 1--11
                     G. C. Best   A Minimum Problem Solved by Mesh Methods 11--13
               M. C. K. Tweedie   A Modification of the Aitken--Neville
                                  Linear Iterative Procedures for
                                  Polynomial Interpolation . . . . . . . . 13--16
                  J. N. P. Hume   Technical Developments: Input and
                                  Organization of Sub-Routines for Ferut
                                  (in Automatic Computing Machinery) . . . 30--36
                   W. F. Cahill   Programs for Computing the
                                  Hypergeometric Series (in Automatic
                                  Computing Machinery; Discussions)  . . . 36--37
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 51--51

Mathematical Tables and Other Aids to Computation
Volume 8, Number 46, April, 1954

            Arthur W. Burks and   
              Don W. Warren and   
                Jesse B. Wright   An Analysis of a Logical Machine Using
                                  Parenthesis-Free Notation  . . . . . . . 53--57
                   Oliver Gross   Polynomial-Like Approximation  . . . . . 58--60
                  Daniel Shanks   A Logarithm Algorithm  . . . . . . . . . 60--64
          George B. Dantzig and   
               Wm. Orchard-Hays   The Product Form for the Inverse in the
                                  Simplex Method . . . . . . . . . . . . . 64--67
                Gertrude Blanch   On Modified Divided Differences II . . . 67--75
                Andrew D. Booth   Technical Developments: The Development
                                  of A.P.E.(X).C. (in Automatic Computing
                                  Machinery) . . . . . . . . . . . . . . . 98--105
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 124--124

Mathematical Tables and Other Aids to Computation
Volume 8, Number 47, July, 1954

                 James D. Riley   Iteration Procedures for the Dirichlet
                                  Difference Problem . . . . . . . . . . . 125--131
               Robert L. LaFara   A Method for Calculating Inverse
                                  Trigonometric Functions  . . . . . . . . 132--139
               Harvey M. Wagner   A Partitioning Method of Inverting
                                  Symmetric Definite Matrices on a
                                  Card-Programmed Calculator . . . . . . . 139--143
                 C. W. Clenshaw   Polynomial Approximations to Elementary
                                  Functions  . . . . . . . . . . . . . . . 143--147
                 Jan V. Garwick   Technical Developments: a Punched Card
                                  Machine Especially Equipped for
                                  Scientific Computations (in Automatic
                                  Computing Machinery) . . . . . . . . . . 167--170
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 188--188

Mathematical Tables and Other Aids to Computation
Volume 8, Number 48, October, 1954

                  J. H. Curtiss   A Generalization of the Method of
                                  Conjugate Gradients for Solving Systems
                                  of Linear Algebraic Equations  . . . . . 189--193
                   P. Davis and   
                  P. Rabinowitz   On the Estimation of Quadrature Errors
                                  for Analytic Functions . . . . . . . . . 193--203
                    A. Dalgarno   Integrals Occurring in Problems of
                                  Molecular Structure  . . . . . . . . . . 203--212
           Robert L. Bivins and   
              N. Metropolis and   
              Paul R. Stein and   
                  Mark B. Wells   Characters of the Symmetric Groups of
                                  Degree $15$ and $16$ . . . . . . . . . . 212--216
                      Anonymous   Recent Mathematical Tables . . . . . . . 216--226
                      Anonymous   Mathematical Tables---Errata . . . . . . 227--228
              Lorraine Schwartz   Review of P. C. Mahalanobis, \em Tables
                                  of random samples from a normal
                                  population . . . . . . . . . . . . . . . 228--230
                      Anonymous   Bibliography of Coding Procedure . . . . 230--231
                      Anonymous   Bibliography Z . . . . . . . . . . . . . 231--233
                 J. E. Maxfield   A Useful Technique in Programming for
                                  Analog Computers (in Other Aids to
                                  Computation) . . . . . . . . . . . . . . 233--234
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 245--245


Mathematical Tables and Other Aids to Computation
Volume 9, Number 49, January, 1955

            Robert E. Greenwood   Coupon Collector's Test for Random
                                  Digits . . . . . . . . . . . . . . . . . 1--5
                  J. A. Postley   A Method for the Evaluation of a System
                                  of Boolean Algebraic Equations . . . . . 5--8
                 Stefan Bergman   Tables for the Determination of
                                  Fundamental Solutions of Equations in
                                  the Theory of Compressible Fluids  . . . 8--14
           Eugene H. Herbst and   
              N. Metropolis and   
                  Mark B. Wells   Analysis of Problem Codes on the MANIAC  14--20
            R. C. Archibald and   
                A. D. Booth and   
           John von Neumann and   
           Bryant Tuckerman and   
                  B. Zondek and   
                  R. L. La Fara   Technical Notes and Short Papers . . . . 21--25
           John von Neumann and   
               Bryant Tuckerman   Continued Fraction Expansion of
                                  $2^{1/3}$  . . . . . . . . . . . . . . . 23--25
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 45--45

Mathematical Tables and Other Aids to Computation
Volume 9, Number 50, April, 1955

                  J. Greenstadt   A Method for Finding Roots of Arbitrary
                                  Matrices . . . . . . . . . . . . . . . . 47--52
                     Kuo-Chu Ho   Double Interpolation Formulae and
                                  Partial Derivatives in Terms of Finite
                                  Differences  . . . . . . . . . . . . . . 52--62
            R. C. Archibald and   
              Luigi Jacchia and   
            A. M. Ostrowski and   
          Preston C. Hammer and   
                      S. Lipton   Technical Notes and Short Papers . . . . 62--70

Mathematical Tables and Other Aids to Computation
Volume 9, Number 51, July, 1955

                Henry E. Fettis   Numerical Calculation of Certain
                                  Definite Integrals by Poisson's
                                  Summation Formula  . . . . . . . . . . . 85--92
          Preston C. Hammer and   
          Jack W. Hollingsworth   Trapezoidal Methods of Approximating
                                  Solutions of Differential Equations  . . 92--96
                 James D. Riley   Solving Systems of Linear Equations With
                                  a Positive Definite, Symmetric, but
                                  Possibly Ill-Conditioned Matrix  . . . . 96--101
                John W. Sheldon   On the Numerical Solution of Elliptic
                                  Difference Equations . . . . . . . . . . 101--112
            Beatrice H. Worsley   Solutions of a Nonlinear Differential
                                  Equation Arising in the Theory of
                                  Diffusion Flames . . . . . . . . . . . . 112--116
              J. L. Brenner and   
          G. W. Reitwiesner and   
             C. W. Clenshaw and   
                     I. J. Good   Technical Notes and Short Papers . . . . 117--121
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 137--137

Mathematical Tables and Other Aids to Computation
Volume 9, Number 52, October, 1955

                 Cyril Atkinson   Polynomial Root Solving on the
                                  Electronic Differential Analyser (A
                                  Technique for Finding the Real and
                                  Complex Roots of a Polynomial Using an
                                  Electronic Differential Analyser)  . . . 139--143
              Stig Comét   Notations for Partitions . . . . . . . . 143--146
         Marshall Hall, Jr. and   
                    J. D. Swift   Determination of Steiner Triple Systems
                                  of Order $15$  . . . . . . . . . . . . . 146--152
                    Mark Lotkin   A Set of Test Matrices . . . . . . . . . 153--161
            S. C. Nicholson and   
                      J. Jeenel   Some Comments on a NORC Computation of
                                  $\pi$  . . . . . . . . . . . . . . . . . 162--164
              Herbert E. Salzer   Orthogonal Polynomials Arising in the
                                  Numerical Evaluation of Inverse Laplace
                                  Transforms . . . . . . . . . . . . . . . 164--177
                James N. Snyder   On the Improvement of the Solutions to a
                                  Set of Simultaneous Linear Equations
                                  Using the ILLIAC . . . . . . . . . . . . 177--184
                J. H. Wilkinson   The Use of Iterative Methods for Finding
                                  the Latent Roots and Vectors of Matrices 184--191
                    M. Dank and   
               S. W. Barber and   
                       N. Macon   Technical Notes and Short Papers . . . . 191--195
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 229--229


Mathematical Tables and Other Aids to Computation
Volume 10, Number 53, January, 1956

                   P. Davis and   
                  P. Rabinowitz   Some Monte Carlo Experiments in
                                  Computing Multiple Integrals . . . . . . 1--8
                  D. L. Johnson   Generating and Testing Pseudo Random
                                  Numbers on the IBM Type 701  . . . . . . 8--13
                 Yudell L. Luke   Evaluation of an Integral Arising in
                                  Numerical Integration Near a Logarithmic
                                  Singularity  . . . . . . . . . . . . . . 14--21
                   R. J. Porter   On Irregular Negative Determinants of
                                  Exponent $9n$  . . . . . . . . . . . . . 22--25
         George E. Forsythe and   
                 Morio Onoe and   
                  Z. Pawlak and   
           R. A. Rubenstein and   
              Marjorie Huse and   
             Stefan Machlup and   
                Hugh E. Stelson   Technical Notes and Short Papers . . . . 25--34
                 C. B. Tompkins   Review of \em A Million Random Digits
                                  With 100,000 Normal Deviates . . . . . . 39--43
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 55--55

Mathematical Tables and Other Aids to Computation
Volume 10, Number 54, April, 1956

                  A. Ashour and   
                       A. Sabri   Tabulation of the Function $\psi(\theta)
                                  = \sum_{n=1}^\infty \frac{\sin
                                  n\theta}{n^2}$ . . . . . . . . . . . . . 57--65
                 G. A. Chisnall   A Modified Chebyshev--Everett
                                  Interpolation Formula  . . . . . . . . . 66--73
                 D. P. Flemming   Iterative Procedure for Evaluating a
                                  Transient Response Through its Power
                                  Series . . . . . . . . . . . . . . . . . 73--81
              T. R. Goodman and   
                    G. N. Lance   The Numerical Integration of Two-Point
                                  Boundary Value Problems  . . . . . . . . 82--86
                     K. S. Kunz   High Accuracy Quadrature Formulas From
                                  Divided Differences With Repeated
                                  Arguments  . . . . . . . . . . . . . . . 87--90
                        P. Wynn   On a Device for Computing the
                                  $e_m({S}_n)$ Transformation  . . . . . . 91--96
              E. T. Goodwin and   
                        P. Wynn   Technical Notes and Short Papers . . . . 96--100

Mathematical Tables and Other Aids to Computation
Volume 10, Number 55, July, 1956

                    Harvey Cohn   Stability Configurations of Electrons on
                                  a Sphere . . . . . . . . . . . . . . . . 117--120
                 D. P. Flemming   An Iterative Method for Taylor Expansion
                                  of Rational Functions, and Applications  120--130
               P. C. Hammer and   
              O. J. Marlowe and   
                   A. H. Stroud   Numerical Integration Over Simplexes and
                                  Cones  . . . . . . . . . . . . . . . . . 130--137
          Preston C. Hammer and   
               Arthur H. Stroud   Numerical Integration Over Simplexes . . 137--139
            H. Hurwitz, Jr. and   
                  P. F. Zweifel   Numerical Quadrature of Fourier
                                  Transform Integrals  . . . . . . . . . . 140--149
              Herbert E. Salzer   Formulas for the Partial Summation of
                                  Series . . . . . . . . . . . . . . . . . 149--156
               R. B. Horgan and   
                E. E. Allen and   
                     D. D. Wall   Technical Notes and Short Papers . . . . 156--168
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 182--182

Mathematical Tables and Other Aids to Computation
Volume 10, Number 56, October, 1956

               P. R. Garabedian   Estimation of the Relaxation Factor for
                                  Small Mesh Size  . . . . . . . . . . . . 183--185
         Marshall Hall, Jr. and   
              J. Dean Swift and   
               Robert J. Walker   Uniqueness of the Projective Plane of
                                  Order Eight  . . . . . . . . . . . . . . 186--194
                    Emma Lehmer   On the Location of Gauss Sums  . . . . . 194--202
                 D. R. Morrison   A Method for Computing Certain Inverse
                                  Functions  . . . . . . . . . . . . . . . 202--208
                David E. Muller   A Method for Solving Algebraic Equations
                                  Using an Automatic Computer  . . . . . . 208--215
             Thomas H. Southard   Everett's Formula for Bivariate
                                  Interpolation and Throwback of Fourth
                                  Differences  . . . . . . . . . . . . . . 216--223
               K. W. Morton and   
                  H. Nagler and   
                    Hans Riesel   Technical Notes and Short Papers . . . . 223--227
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 262--263


Mathematical Tables and Other Aids to Computation
Volume 11, Number 57, January, 1957

                Herbert Fishman   Numerical Integration Constants  . . . . 1--9
                Frank E. Harris   Tables of the Exponential Integral $
                                  {\rm Ei}(x) $  . . . . . . . . . . . . . 9--16
                 Yudell L. Luke   On the Computation of $\log {Z}$ and
                                  $\operatorname{arc} \tan {Z}$  . . . . . 16--18
            LL. G. Chambers and   
            Raphael M. Robinson   Technical Notes and Short Papers . . . . 19--22
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 54--54

Mathematical Tables and Other Aids to Computation
Volume 11, Number 58, April, 1957

                Thomas C. Doyle   Inversion of Symmetric Coefficient
                                  Matrix of Positive-Definite Quadratic
                                  Form . . . . . . . . . . . . . . . . . . 55--58
          Preston C. Hammer and   
                A. Wayne Wymore   Numerical Evaluation of Multiple
                                  Integrals I  . . . . . . . . . . . . . . 59--67
              R. V. Viswanathan   Solution of Poisson's Equation by
                                  Relaxation Method---Normal Gradient
                                  Specified on Curved Boundaries . . . . . 67--78
                 G. Belford and   
         L. Jackson Laslett and   
                   J. N. Snyder   Table Pertaining to Solutions of a Hill
                                  Equation . . . . . . . . . . . . . . . . 79--81
                     J. M. Cook   Rational Formulae for the Production of
                                  a Spherically Symmetric Probability
                                  Distribution . . . . . . . . . . . . . . 81--82
                     I. J. Good   On the Numerical Solution of Integral
                                  Equations  . . . . . . . . . . . . . . . 82--83
                 M. J. R. Healy   A Rotation Method for Computing
                                  Canonical Correlations . . . . . . . . . 83--86
             A. J. M. Hitchcock   Polynomial Approximations to Bessel
                                  Functions of Order Zero and One and to
                                  Related Functions  . . . . . . . . . . . 86--88
               N. S. Mendelsohn   An Iterative Method for the Solution of
                                  Linear Equations Based on the Power
                                  Method for Proper Vectors  . . . . . . . 88--91
               N. S. Mendelsohn   The Computation of Complex Proper Values
                                  and Vectors of a Real Matrix with
                                  Application to Polynomials . . . . . . . 91--94
                H. I. Meyer and   
            B. J. Hollingsworth   A Method of Inverting Large Matrices of
                                  Special Form . . . . . . . . . . . . . . 94--97
                J. C. P. Miller   Note on the General Solution of the
                                  Confluent Hypergeometric Equation  . . . 97--99
             Thomas H. Southard   Approximation and Table of the
                                  Weierstrass $\wp$ Function in the
                                  Equianharmonic Case for Real Argument    99--100
               Harvey M. Wagner   A Lemma for Automatic Optimum
                                  Programming on the IBM 650 . . . . . . . 101--104
                       C. B. T.   Book Review: A. V. Lebedev and R. M.
                                  Fedorova, \booktitleSpravochnik po
                                  Matematicheskim Tablitsam (Guide to
                                  Mathematical Tables), Moscow, 1956, xlvi
                                  + 549 p., 26 cm. Price 29.20 rubles  . . 104--106
                  Morris Newman   Comment: D. H. Lehmer, \booktitleOn the
                                  diophantine equation $x^3 + y^3 + z^3 =
                                  1$, London Math. Soc., Jn., v. 31, 1956,
                                  p. 275--280  . . . . . . . . . . . . . . 106--107
                    Harvey Cohn   Comment: J. Godwin, \booktitleReal
                                  quartic fields with small discriminant,
                                  London Math. Soc., Jn., v. 31, 1956, p.
                                  478--485 . . . . . . . . . . . . . . . . 107--107
                  Morris Newman   Comment: D. H. Lehmer, \booktitleOn the
                                  roots of the Riemann zeta-function, Acta
                                  Mathematica, v. 95, 1956, p. 291--298    107--108
              W. L. Wilson, Jr.   Comment: W. L. Wilson, Jr.,
                                  \booktitleTables of Inverses to
                                  Laplacian Operators over Triangular
                                  Grids, two typewritten leaves $81 \times
                                  11$ inches and one transparency $27
                                  \times 48$ inches deposited in UMT File  108--108
                       C. B. T.   Comment: NBS Applied Mathematics Series,
                                  No. 35, \booktitleTables of Lagrangian
                                  Coefficients for Sexagesimal
                                  Interpolation, U. S. Govt. Printing
                                  Office, Wash- ington, D. C., 1954, ix +
                                  157 p., 26 cm. Price \$2.00} . . . . . . 108--108
                          J. T.   Comment: E. Salzer,
                                  \booktitleCoefficients for complex
                                  osculatory interpolation over a
                                  Cartesian grid, J. Math. Phys., v. 35,
                                  1956, p. 152--163  . . . . . . . . . . . 109--109
                  Morris Newman   Comment: O. Emersleben,
                                  \booktitleAnwendungen
                                  zahlentheoretischer Abschatzungen bei
                                  numerischen Rechnungen, Z. angew. Math.
                                  Mech., v. 33, 1953, p. 1-3. O.
                                  Emersleben, \booktitleÜber Summen
                                  Epsteinscher Zetafunktionen regelmassig
                                  Verteilter unterer' Parameter, Math.
                                  Nachr., v. 13, 1955, p. 59-72. O.
                                  Emersleben, \booktitleÜber Zwei
                                  Epsteinsche Zetafunktionen 4. und 8.
                                  Ordnung, Ber. Math. Tagung, 1953, p.
                                  233-250. O. Emersleben, \booktitleÜber
                                  eine doppelperiodische Parallelströmung
                                  zäher Flüssigkeiten, Z. angew. Math.
                                  Mech., v. 35, 1955, p. 156--160  . . . . 109--110
                       C. B. T.   Comment: T. H. Southard,
                                  \booktitleApproximation and table of the
                                  Weierstrass $\wp$ function in the
                                  equianharmonic case for real argument.
                                  [MTAC, this issue, p. 99--100] . . . . . 110--110
                        C. B. T   Comment: F. H. Hollander and C. B.
                                  Tompkins, \booktitleWhat you should know
                                  about digital computers, Chem. Eng.
                                  Prog., v. 52, 1956, p. 451--454  . . . . 110--110
                F. H. Hollander   Comment: G. Belford, L. Jackson Laslett,
                                  and J. N. Snyder, \booktitleTable
                                  Pertaining to Solutions of a Hill
                                  Equation, 1956, 420 p., two
                                  $8\frac{1}{2} \times 11$ multilithed
                                  copies in notebook binders deposited in
                                  the UMT file.  . . . . . . . . . . . . . 110--110
                  Peter Henrici   Comment: D. Bierens de Haan,
                                  \booktitleNouvelles Tables d'Intégrales
                                  Définies, Hafner Publishing Co., New
                                  York, 1957 (edition of 1867-corrected),
                                  xiv + 716 p., 24 cm. Price \$12.50}  . . 111--111
                          J. T.   Comment: Ernst Glowatzki,
                                  \booktitleSechsstellige Tafel der
                                  Cauer-Parameter, Abh. Bayer. Akad. Wiss.
                                  Math.-Nat. Kl. (N.F.), v. 67, 1955, 37
                                  p. . . . . . . . . . . . . . . . . . . . 111--111
                 C. T. Tomizuka   Comment: T. Sasaki, \booktitleThe Effect
                                  of Earth and Sea on the Propagation of
                                  Radio Waves, Numerical Computation
                                  Bureau, Report No. 6, Tokyo, 1952. 14
                                  mimeographed pages of theory, 25 cm.,
                                  and 6 tables of functions, $25 \times
                                  34$ cm.  . . . . . . . . . . . . . . . . 111--112
                   Harold Davis   Comment: J. Halcomb Laning, Jr., and
                                  Richard H. Battin, \booktitleRandom
                                  Processes in Automatic Control,
                                  McGraw-Hill Series in Control Systems
                                  Engineering, McGraw-Hill Book Co., Inc.,
                                  New York, 1956, ix + 434 p., 23 cm.
                                  Price \$10.00} . . . . . . . . . . . . . 112--112
                M. A. Melkanoff   Comment: J. L. Wolfson and H. S.
                                  Gellman, \booktitleFive Figure Tables
                                  for the Conversion of Electron Momentum
                                  to Electron Kinetic Energy from 100 to
                                  20000 Gauss-Cm, Atomic Energy of Canada,
                                  Ltd., Chalk River, Ontario, 1954
                                  (reprinted July, 1956), A.E.C.L. Report
                                  No. 327, i + 43 p., 27 cm. Price \$1.00} 112--113
                    P. P. Ewald   Comment: O. Emersleben, \booktitleDer
                                  Wert der Madelung Konstanten des
                                  Steinsalzgitters, Wissenschaftliche
                                  Zeitschrift der Universitat Greifswald,
                                  v. 3, 1953--54, Math. naturw. Reihe, p.
                                  607--617 . . . . . . . . . . . . . . . . 113--114
                    P. P. Ewald   Comment: O. Emersleben, \booktitleMit
                                  welcher Genauigkeit benötigt man die
                                  Madelung-konstante eines Kristalls
                                  beispielweise vom Steinsalzgitter? Z.
                                  fur Physik. Chemie, v. 204, 1955, p.
                                  43--55 . . . . . . . . . . . . . . . . . 114--114
                          A. F.   Comment: A. Erd'elyi, W. Magnus, F.
                                  Oberhettinger, and F. G. Tricomi,
                                  \booktitleHigher Transcendental
                                  Functions. Based, in part, on notes left
                                  by H. Bateman. McGraw-Hill, New York,
                                  Toronto, London, v. 1, 1953, xxvi + 302
                                  p., 23 cm. Price \$6.50; V. 2,1953, xvii
                                  + 396 p., 23 cm. Price \$7,50; v. 3,
                                  1955, xvii + 292 p., 23 cm. Price
                                  \$6.50}  . . . . . . . . . . . . . . . . 114--116
                  E. T. Goodwin   Comment: NBS Applied Mathematics Series,
                                  No. 15, \booktitleProblems for the
                                  Numerical Analysis of the Future, U. S.
                                  Gov. Printing Office, Washington, D. C.,
                                  1951, iv + 21 p., 26.0 cm. Price
                                  \$0.20.} . . . . . . . . . . . . . . . . 116--117
                  Peter Henrici   Comment: Albert A. Bennett, William E.
                                  Milne, and Harry Bateman,
                                  \booktitleNumerical Integration of
                                  Differential Equations, Dover
                                  Publications, Inc., New York, 1956, 108
                                  p., 20 cm. Price \$1.35} . . . . . . . . 117--118
              Robert T. Gregory   Comment: L. Couffignal,
                                  \booktitleRésolution Numérique des
                                  Syst\`emes d'Équations Linéaires,
                                  Gauthier-Villars, Paris, v. 2, 1956, iii
                                  + 180 p., 21 cm. Price \$5.86} . . . . . 118--119
                       A. H. T.   Comment: J. Crank, \booktitleThe
                                  Mathematics of Diffusion, Oxford
                                  University Press, New York, 1956, vi +
                                  347 p., 23.5 cm. Price \$8.00} . . . . . 119--120
                       A. H. T.   Comment: Marcel van Laethem,
                                  \booktitleUne Méthode Nouvelle et Générale
                                  de Calcul des Intégrales Géneralisiées,
                                  Publications Universitaires de Louvain,
                                  Louvain (Belgique), 1956, viii + 180 p.,
                                  23 cm. Price 250 Fr.b. (\$5.00)} . . . . 120--121
                  Gerald Estrin   Comment: \booktitleThe Proceedings of
                                  the Institution of Electrical Engineers,
                                  v. 103, Part B, Supplement No. 1--3,
                                  1956 (Convention on Digital Computer
                                  Techniques), British Institution of
                                  Electrical Engineers, London. Price one
                                  pound. . . . . . . . . . . . . . . . . . 121--124
                     Ida Rhodes   Comment: S. A. Lebedev, Elektronnye
                                  Vyclislitel'nye Mashiny i Obrabotka
                                  Informatksi (Electronic Computing
                                  Machines and Information Processes),
                                  Akad. Nauk SSSR, Moscow, 1956, 47 p., 20
                                  cm. Price 65 kopeks  . . . . . . . . . . 124--125
                      Anonymous   Table Errata: A. A. Abramov,
                                  \booktitleTablitsy $\ln \Gamma[z]$ v
                                  Komplekno\uì Oblasti (Tables of $\ln
                                  \Gamma[z]$ in a Complex Region), Akad.
                                  Nauk SSSR, Moscow, 1953. . . . . . . . . 125--125
                      Anonymous   Table Errata: Akademiia Nauk SSSR.
                                  Institut Tohnol mekhaniky i
                                  vychislitel'no\uì tekhniki.
                                  Matematicheskie Tablitsy.
                                  \booktitleDesiatiéna Tablitsy logarifmov
                                  kompleksnykh chisel i perekhoda ot
                                  dekartovykh koordinat k poliarnym.
                                  Tablitsy funktsi\uì [Ten place tables of
                                  logarithms of complex numbers and of the
                                  transformation from cartesian to polar
                                  coordinates. Tables of functions] $\ln
                                  x$, $\arctg x$, $2 \ln (1 + x^2)$, $(1 +
                                  x^2)^{1/2}$. Moscow, 1952. [See RMT
                                  1206, MTAC, v. 8, 1954, p. 149]  . . . . 125--126
                      Anonymous   Table Errata: Akademiia Nauk SSSR.
                                  [Institut Tochnol\uì mekhanik\uì i
                                  vychislitel'no\uì tekhniki].
                                  Matematicheskie Tablitsy.
                                  \booktitleTablitsy Integralov Frenelia
                                  (Tables of Fresnel Integrals), Moscow,
                                  1953. [See Rev. 40, MTAC, v. 9, 1955, p.
                                  75--76]  . . . . . . . . . . . . . . . . 126--126
Diamond Ordnance Fuze Laboratories   Table Errata: Isabelle Arsham,
                                  \booktitleChebyshev Coefficients for
                                  Chebyshev Polynomials of Orders 12 and
                                  24 under the General Linear
                                  Transformation (U), Report No. TR-326,
                                  Diamond Ordnance Fuze Laboratories,
                                  Ordnance Corps, Department of the Army,
                                  Washington, D. C., 1956 [Review 72,
                                  MTAC, v. 10, 1956, p. 231].  . . . . . . 126--127
                      Anonymous   Notes: John von Neumann 1903--1957
                                  [obituary] . . . . . . . . . . . . . . . 127--127
                      Anonymous   Corrigenda: Harvard University,
                                  Computation Laboratory, Annals,
                                  \booktitleTables of the Function
                                  $\arcsin z$, MTAC, v. 10, 1956, Review
                                  66, p. 229, line 3; Mark Lotkin,
                                  \booktitleA set of test matrices, MTAC,
                                  v. 9, 1955, p. 161; M. Schuler \and H.
                                  Gebelein, (a) \booktitleAcht- und
                                  neunstellige Tabellen zu den
                                  elliptischen Funktionen (Eight and Nine
                                  Place Tables of Elliptical Functions),
                                  (b) \booktitleFünfstellige Tabellen zu
                                  den elliptischen Funktionen (Five Place
                                  Tables of Elliptical Functions), MTAC,
                                  v. 10, 1956, Review 102, p. 247  . . . . 129--130

Mathematical Tables and Other Aids to Computation
Volume 11, Number 59, July, 1957

           C. C. Farrington and   
              R. T. Gregory and   
                     A. H. Taub   On the Numerical Solution of
                                  Sturm--Liouville Differential Equations  131--150
               Donald Greenspan   On the Numerical Evaluation of the
                                  Stokes' Stream Function  . . . . . . . . 150--160
                 Chih-Bing Ling   Tables of Values of $16$ Integrals of
                                  Algebraic-Hyperbolic Type  . . . . . . . 160--166
                  I. M. Longman   Tables for the Rapid and Accurate
                                  Numerical Evaluation of Certain Infinite
                                  Integrals Involving Bessel Functions . . 166--180
              J. W. Sheldon and   
                  B. Zondek and   
                    M. Friedman   On the Time-Step to be Used for the
                                  Computation of Orbits by Numerical
                                  Integration  . . . . . . . . . . . . . . 181--189
          Henry C. Thacher, Jr.   Optimum Quadrature Formulas In $s$
                                  Dimensions . . . . . . . . . . . . . . . 189--194
                 E. W. Dijkstra   A Method to Investigate Primality (in
                                  Technical Notes and Short Papers)  . . . 195--196
              Herbert E. Salzer   Equally-Weighted Quadrature Formulas for
                                  Inversion Integrals (in Technical Notes
                                  and Short Papers)  . . . . . . . . . . . 197--200
                Herbert S. Wilf   An Open Formula for the Numerical
                                  Integration of First Order Differential
                                  Equations (in Technical Notes and Short
                                  Papers)  . . . . . . . . . . . . . . . . 201--203
               M. V. Wilkes and   
                  D. J. Wheeler   Note on ``A Method for Computing Certain
                                  Inverse Functions'' (in Technical Notes
                                  and Short Papers)  . . . . . . . . . . . 204--204
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 228--228

Mathematical Tables and Other Aids to Computation
Volume 11, Number 60, October, 1957

              Edwin S. Campbell   A Method for Integrating a Set of
                                  Ordinary Differential Equations Subject
                                  to a Type of Numerical Indeterminacy . . 229--233
               John C. Holladay   A Smoothest Curve Approximation  . . . . 233--243
              William H. Peirce   Numerical Integration Over the Spherical
                                  Shell  . . . . . . . . . . . . . . . . . 244--249
              Herschel F. Smith   On a Generalization of the Prime Pair
                                  Problem  . . . . . . . . . . . . . . . . 249--254
            Irene A. Stegun and   
              Milton Abramowitz   Generation of Bessel Functions on High
                                  Speed Computers  . . . . . . . . . . . . 255--257
                   A. H. Stroud   Remarks on the Disposition of Points in
                                  Numerical Integration Formulas . . . . . 257--261
                 Bruno A. Boley   Technical Notes and Short Papers: a
                                  Method for the Numerical Evaluation of
                                  Certain Infinite Integrals . . . . . . . 261--264
                  Roger G. Hart   A Formula for the Approximation of
                                  Definite Integrals of the Normal
                                  Distribution Function  . . . . . . . . . 265--265
            Raphael M. Robinson   Some Factorizations of Numbers of the
                                  Form $2^n \pm 1$ . . . . . . . . . . . . 265--268
                   F. J. Warner   On the Solution of ``Jury'' Problems
                                  With Many Degrees of Freedom . . . . . . 268--271
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 314--314


Mathematical Tables and Other Aids to Computation
Volume 12, Number 61, January, 1958

          Edwin S. Campbell and   
             E. M. Fishbach and   
             J. O. Hirschfelder   Coefficients and Roots of the
                                  Polynomials Which Define the Derivatives
                                  of the Exponential of $(- \epsilon/{T})$ 1--17
               M. Goldstein and   
                   R. M. Thaler   Bessel Functions for Large Arguments . . 18--26
             U. W. Hochstrasser   Numerical Experiments in Potential
                                  Theory Using the Nehari Estimates  . . . 26--33
                 P. A. P. Moran   Approximate Relations Between Series and
                                  Integrals  . . . . . . . . . . . . . . . 34--37
               E. T. Parker and   
                Paul J. Nikolai   A Search for Analogues of the Mathieu
                                  Group  . . . . . . . . . . . . . . . . . 38--43
                 Wolfgang Wasow   On the Accuracy of Implicit Difference
                                  Approximations to the Equation of Heat
                                  Flow . . . . . . . . . . . . . . . . . . 43--55
                Herbert S. Wilf   An Open Formula for the Numerical
                                  Integration of First Order Differential
                                  Equations (II) . . . . . . . . . . . . . 55--58
            D. J. Hofsommer and   
                    Hans Riesel   Technical Notes and Short Papers . . . . 58--60

Mathematical Tables and Other Aids to Computation
Volume 12, Number 62, April, 1958

                Pentti Laasonen   On the Iterative Solution of the Matrix
                                  Equation ${AX}^2 - {I} = 0$  . . . . . . 109--116
         Alexander M. Ostrowski   On Gauss' Speeding Up Device in the
                                  Theory of Single Step Iteration  . . . . 116--132
          Herbert E. Salzer and   
            Genevieve M. Kimbro   Extension of Lindow's Tables for
                                  Numerical Differentiation Using
                                  Newton--Stirling and Newton--Bessel
                                  Differences  . . . . . . . . . . . . . . 133--140
          Herbert E. Salzer and   
                  Norman Levine   Technical Notes and Short Papers . . . . 141--144
                     John Leech   Groups of Primes Having Maximum Density  144--145
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 166--166

Mathematical Tables and Other Aids to Computation
Volume 12, Number 63, July, 1958

               Mervin E. Muller   An Inverse Method for The Generation of
                                  Random Normal Deviates on Large-Scale
                                  Computers  . . . . . . . . . . . . . . . 167--174
                  J. W. Sheldon   Algebraic Approximations for Laplace's
                                  Equation in the Neighborhood of
                                  Interfaces . . . . . . . . . . . . . . . 174--186
               James Miller and   
                    R. P. Hurst   Simplified Calculation of the
                                  Exponential Integral . . . . . . . . . . 187--193
              Daniel C. Fielder   A Note on Summation Formulas of Powers
                                  of Roots . . . . . . . . . . . . . . . . 194--198
                S. D. Conte and   
                    R. T. Dames   An Alternating Direction Method for
                                  Solving the Biharmonic Equation  . . . . 198--205
                  I. M. Longman   On the Numerical Evaluation of Cauchy
                                  Principal Values of Integrals (in
                                  Technical Notes and Short Papers)  . . . 205--207
                    Hans Riesel   Mersenne Numbers (in Technical Notes and
                                  Short Papers)  . . . . . . . . . . . . . 207--213
                    Harvey Cohn   A Computation of Some Bi-Quadratic Class
                                  Numbers (in Technical Notes and Short
                                  Papers)  . . . . . . . . . . . . . . . . 213--217
                     D. D. Wall   Multiplication Time on the IBM 709 (in
                                  Technical Notes and Short Papers)  . . . 217--218
              Carl-Erik Froberg   Diagonalization of Hermitian Matrices
                                  (in Technical Notes and Short Papers)    219--220

Mathematical Tables and Other Aids to Computation
Volume 12, Number 64, October, 1958

                 L. Stoller and   
                    D. Morrison   A Method for the Numerical Integration
                                  of Ordinary Differential Equations . . . 269--272
          Preston C. Hammer and   
               Arthur H. Stroud   Numerical Evaluation of Multiple
                                  Integrals II . . . . . . . . . . . . . . 272--280
              Carl-Erik Froberg   Technical Notes and Short Papers: Some
                                  Computations of Wilson and Fermat
                                  Remainders . . . . . . . . . . . . . . . 281--281


Mathematical Tables and Other Aids to Computation
Volume 13, Number 65, January, 1959

              John R. Pasta and   
                        S. Ulam   Heuristic Numerical Work in Some
                                  Problems of Hydrodynamics  . . . . . . . 1--12
                    P. Laasonen   On the Simultaneous Determination of
                                  Several Eigensolutions of a Self-Adjoint
                                  System of Differential Equations . . . . 13--20
                 John R. Isbell   On the Enumeration of Majority Games . . 21--28
                   John I. Derr   A Unified Process for the Evaluation of
                                  the Zeros of Polynomials over the
                                  Complex Number Field . . . . . . . . . . 29--36
            R. E. Greenwood and   
          P. D. M. Carnahan and   
                   J. W. Nolley   Numerical Integration Formulas for use
                                  with Weight Functions $x^2$ and
                                  $x/\surd{\overline{1 - x^2}}$  . . . . . 37--40
               Richard B. Smith   Two Theorems on Inverses of Finite
                                  Segments of the Generalized Hilbert
                                  Matrix . . . . . . . . . . . . . . . . . 41--43
                   O. Gross and   
                  S. M. Johnson   Sequential Minimax Search for a Zero of
                                  a Convex Function  . . . . . . . . . . . 44--51
                  B. Zondek and   
                  J. W. Sheldon   On the Error Propagation in Adams'
                                  Extrapolation Method . . . . . . . . . . 52--55

Mathematical Tables and Other Aids to Computation
Volume 13, Number 66, April, 1959

               Samuel Schechter   On the Inversion of Certain Matrices . . 73--77
                  Daniel Shanks   A Sieve Method for Factoring Numbers of
                                  the Form $n^2 + 1$ . . . . . . . . . . . 78--86
            H. Hurwitz, Jr. and   
             R. A. Pfeiffer and   
                  P. F. Zweifel   Numerical Quadrature of Fourier
                                  Transform Integrals II . . . . . . . . . 87--90
                Walter Gautschi   Note on Bivariate Linear Interpolation
                                  for Analytic Functions . . . . . . . . . 91--96
                J. A. Riley and   
                    C. Billings   Gaussian Quadrature of Some Integrals
                                  Involving Airy Functions . . . . . . . . 97--101
               M. Goldstein and   
                   R. M. Thaler   Recurrence Techniques for the
                                  Calculation of Bessel Functions  . . . . 102--108
                 Harry Polachek   Calculation of Transient Excitation of
                                  Ship Hulls by Finite Difference Methods  109--116
                    Irwin Roman   Skip-Term Summation of Sequences (in
                                  Technical Notes and Short Papers)  . . . 117--121
            R. B. Killgrove and   
                  K. E. Ralston   On a Conjecture Concerning the Primes
                                  (in Technical Notes and Short Papers)    121--122
              D. S. Stoller and   
                  L. C. Stoller   Calculating the Coefficients of Certain
                                  Linear Predictors (in Technical Notes
                                  and Short Papers)  . . . . . . . . . . . 122--124
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 143--143

Mathematical Tables and Other Aids to Computation
Volume 13, Number 67, July, 1959

                   A. Blair and   
              N. Metropolis and   
             J. von Neumann and   
                 A. H. Taub and   
                     M. Tsingou   A Study of a Numerical Solution to a
                                  Two-Dimensional Hydrodynamical Problem   145--184
            F. D. Murnaghan and   
              J. W. Wrench, Jr.   The Determination of the Chebyshev
                                  Approximating Polynomial for a
                                  Differentiable Function  . . . . . . . . 185--193
                Lucien Neustadt   A Method of Computing Eigenvectors and
                                  Eigenvalues on an Analog Computer  . . . 194--201
                  T. Mirsepassi   Graphical Evaluation of a Convolution
                                  Integral . . . . . . . . . . . . . . . . 202--212
                  Gerard Salton   The Use of the Central Limit Theorem for
                                  Interpolating in Tables of Probability
                                  Distribution Functions . . . . . . . . . 213--216

Mathematical Tables and Other Aids to Computation
Volume 13, Number 68, October, 1959

         Marshall Hall, Jr. and   
              J. Dean Swift and   
              Raymond Killgrove   On Projective Planes of Order Nine . . . 233--246
            Richard Bellman and   
                 Stuart Dreyfus   Functional Approximations and Dynamic
                                  Programming  . . . . . . . . . . . . . . 247--251
                 A. R. Mitchell   The Influence of Critical Boundary
                                  Conditions on Finite Difference
                                  Solutions of Two Point Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 252--260
                 Yudell L. Luke   Expansion of the Confluent
                                  Hypergeometric Function in Series of
                                  Bessel Functions . . . . . . . . . . . . 261--271
                  Daniel Shanks   Quadratic Residues and the Distribution
                                  of Primes  . . . . . . . . . . . . . . . 272--284
          Philip Rabinowitz and   
                   George Weiss   Tables of Abscissas and Weights for
                                  Numerical Evaluation of Integrals of the
                                  Form $\int^\infty_0 e^{-x}x^nf(x) dx$    285--294
          Gerald E. Bartholomew   Numerical Integration Over the Triangle  295--298
              Sherwood Skillman   Efficient Method for Solving Atomic
                                  Schrödinger's Equation (in Technical
                                  Notes and Short Papers)  . . . . . . . . 299--302
              Dietrich Suschowk   Explicit Formulae for $25$ of the
                                  Associated Legendre Functions of the
                                  Second Kind (in Technical Notes and
                                  Short Papers)  . . . . . . . . . . . . . 303--305
                  I. M. Longman   A Short Table of $\int^\infty_x
                                  {J}_0(t)t^{-n} dt$ and $\int^\infty_x
                                  {J}_1(t) t^{-n} dt$ (in Technical Notes
                                  and Short Papers)  . . . . . . . . . . . 306--311
                 Gerard P. Weeg   Numerical Integration of $\int^\infty_0
                                  e^{-x} {J}_0\Bigg(\frac{\eta x}{\xi}
                                  \Bigg) {J}_1 \Bigg(\frac{x}{\xi}\Bigg)
                                  x^{-n} dx$ (in Technical Notes and Short
                                  Papers)  . . . . . . . . . . . . . . . . 312--313
               M. E. Sherry and   
                       S. Fulda   Calculation of Gamma Functions to High
                                  Accuracy (in Technical Notes and Short
                                  Papers)  . . . . . . . . . . . . . . . . 314--315
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 335--335