Last update:
Wed Nov 8 11:46:21 MST 2023
Herbert Seifert and
William Threlfall Old and new results on knots . . . . . . 1--15
H. B. Mann On the field of origin of an ideal . . . 16--21
László Fejes Tóth Extremum properties of the regular
polyhedra . . . . . . . . . . . . . . . 22--31
F. W. Levi On frequencies and semi-continuous
functions . . . . . . . . . . . . . . . 32--43
F. W. Levi On frequencies and semicontinuous
functions . . . . . . . . . . . . . . . 32--43
W. T. Tutte The factorization of locally finite
graphs . . . . . . . . . . . . . . . . . 44--49
Léonce Lesieur Un théor\`eme de transfert d'un anneau
abstrait \`a l'anneau des polynomes.
(French) [A theory of the transfer of an
abstract ring to a polynomial ring] . . 50--65
Atle Selberg An elementary proof of the prime-number
theorem for arithmetic progressions . . 66--78
R. A. Staal Star diagrams and the symmetric group 79--92
S. Chowla and
H. J. Ryser Combinatorial problems . . . . . . . . . 93--99
Walter Prenowitz Spherical geometries and multigroups . . 100--119
A. Einstein The Bianchi identities in the
generalized theory of gravitation . . . 120--128
P. A. M. Dirac Generalized Hamiltonian dynamics . . . . 129--148
Ernst Snapper Periodic linear transformations of
affine and projective geometries . . . . 149--151
Heinrich Behnke and
Karl Stein Elementarfunktionen auf Riemannschen
Flächen als Hilfsmittel für die
Funktionentheorie mehrerer
Veränderlichen. (German) [Elementary
functions on Riemann surfaces as a tool
for the functional theory of multiple
mutables] . . . . . . . . . . . . . . . 152--165
Hans Zassenhaus An equation for the degrees of the
absolutely irreducible representations
of a group of finite order . . . . . . . 166--167
K. G. Ramanathan Identities and congruences of the
Ramanujan type . . . . . . . . . . . . . 168--178
C. A. B. Smith and
W. T. Tutte A class of self-dual maps . . . . . . . 179--196
W. T. Tutte Squaring the square . . . . . . . . . . 197--209
Albert E. Heins Water waves over a channel of finite
depth with a submerged plane barrier . . 210--222
F. M. Goodspeed The relation between functions
satisfying a certain integral equation
and general Watson transforms . . . . . 223--237
L. Holzer Minimal solutions of Diophantine
equations . . . . . . . . . . . . . . . 238--244
Hans Rademacher and
I. J. Schoenberg Helly's theorems on convex domains and
Tchebycheff's approximation problem . . 245--256
N. Jacobson Enveloping algebras of semi-simple Lie
algebras . . . . . . . . . . . . . . . . 257--266
D. H. Lehmer Approximations to the area of an
$n$-dimensional ellipsoid . . . . . . . 267--282
Gordon Raisbeck Simultaneous Diophantine approximation 283--288
H. Chatland and
H. Davenport Euclid's algorithm in real quadratic
fields . . . . . . . . . . . . . . . . . 289--296
R. D. James A generalized integral. II . . . . . . . 297--306
Arthur Moór Généralisation du scalaire de courbure et
du scalaire principal d'un espace
finslérien \`a $n$ dimensions. (French)
[Generalization of the scalar curvature
and the principal scalar of a Finsler
space in $n$ dimensions] . . . . . . . . 307--313
D. B. Sears Note on the uniqueness of the Green's
functions associated with certain
differential equations . . . . . . . . . 314--325
Hugh ApSimon Three facially-regular polyhedra . . . . 326--330 (2 plates)
J. A. Todd Note on a paper by Robinson . . . . . . 331--333
G. de B. Robinson Induced representations and invariants 334--343
Marston Morse and
William Transue The Fréchet variation, sector limits, and
left decompositions . . . . . . . . . . 344--374
Mark Kac and
Harry Pollard The distribution of the maximum of
partial sums of independent random
variables . . . . . . . . . . . . . . . 375--384
Jacques Touchard Contribution \`a l'étude du probl\`eme
des timbres poste. (French)
[Contribution to the study of the
postage-stamp problem] . . . . . . . . . 385--398
W. J. LeVeque On representations as a sum of
consecutive integers . . . . . . . . . . 399--405
Ivan Niven The iteration of certain arithmetic
functions . . . . . . . . . . . . . . . 406--408
Rufus Isaacs Iterates of fractional order . . . . . . 409--416
Robert Frucht Lattices with a given abstract group of
automorphisms . . . . . . . . . . . . . 417--419
Clyde M. Cramlet A generalization of a theorem of Jacobi
on systems of linear differential
equations . . . . . . . . . . . . . . . 420--426
Max Wyman Unified field theory . . . . . . . . . . 427--439
René de Vogelaere Équation de Hill et probl\`eme de Störmer.
(French) [Hill's equation and Störmer's
problem] . . . . . . . . . . . . . . . . 440--456
C. E. Springer Union curves of a hypersurface . . . . . 457--460
A. H. Stone Incidence relations in multicoherent
spaces. II . . . . . . . . . . . . . . . 461--480
F. A. Valentine Some properties of $C$-convex sets . . . 481--488
J. W. Green and
W. Gustin Quasiconvex sets . . . . . . . . . . . . 489--507
J. W. Green and
W. Gustin On the vector sum of continua . . . . . 508--512
P. A. M. Dirac The Hamiltonian form of field dynamics 1--23
R. Croisot Axiomatique des lattices distributives 24--27
Marlow Sholander Postulates for distributive lattices . . 28--30
Lee Byrne Short formulations of Boolean algebra,
using ring operations . . . . . . . . . 31--33
J. Lambek The immersibility of a semigroup into a
group . . . . . . . . . . . . . . . . . 34--43
Loo-Keng Hua On exponential sums over an algebraic
number field . . . . . . . . . . . . . . 44--51
Pasquale Porcelli and
Gordon Pall A property of Farey sequences, with
applications to $q$th power residues . . 52--53
A. M. Macbeath A compactness theorem for affine
equivalence-classes of convex regions 54--61
J. L. Burchnall The Bessel polynomials . . . . . . . . . 62--68
C. Truesdell Vorticity averages . . . . . . . . . . . 69--86
David Ellis Autometrized Boolean algebras. I.
Fundamental distance-theoretic
properties of $B$ . . . . . . . . . . . 87--93
R. H. Bruck Finite nets, I. Numerical invariants . . 94--107
Albert E. Heins Errata . . . . . . . . . . . . . . . . . 107--107
Kunihiko Kodaira Green's forms and meromorphic functions
on compact analytic varieties . . . . . 108--128
Jean Dieudonné Sur le théor\`eme de Lebesgue--Nikodym.
V. (French) [On the Lebesgue--Nikodym
theorem. V] . . . . . . . . . . . . . . 129--139
Eugene Lukacs and
Otto Szász Certain Fourier transforms of
distributions . . . . . . . . . . . . . 140--144
David Ellis Autometrized Boolean algebras. II. The
group of motions of $B$ . . . . . . . . 145--147
Patrick Du Val On regular surfaces of genus three . . . 148--154
W. R. Hutcherson A cyclic involution of period eleven . . 155--158
Douglas Derry The duality theorem for curves of order
$n$ in $n$-space . . . . . . . . . . . . 159--163
R. G. Stanton The Mathieu groups . . . . . . . . . . . 164--174
R. H. Bing Metrization of topological spaces . . . 175--186
L. M. Kelly Distance sets . . . . . . . . . . . . . 187--194
L. Infeld and
A. E. Scheidegger Radiation and gravitational equations of
motion . . . . . . . . . . . . . . . . . 195--207
Tadasi Nakayama Non-normal Galois theory for
non-commutative and non-semisimple rings 208--218
C. H. Dowker On countably paracompact spaces . . . . 219--224
Robert Steinberg The representations of ${\rm GL}(3,q)$,
${\rm GL} (4,q)$, ${\rm PGL} (3,q)$, and
${\rm PGL} (4,q)$ . . . . . . . . . . . 225--235
G. G. Lorentz Direct theorems on methods of
summability. II . . . . . . . . . . . . 236--256
H. Heilbronn On Euclid's algorithm in cyclic fields 257--268
Hugh ApSimon Two vertex-regular polyhedra . . . . . . 269--271
V. L. Klee, Jr. On certain intersection properties of
convex sets . . . . . . . . . . . . . . 272--275
James A. Jenkins On the topological theory of functions 276--289
Irving Kaplansky A theorem on division rings . . . . . . 290--292
Israel Halperin and
Hidegoro Nakano Discrete semi-ordered linear spaces . . 293--298
Gerald Berman A generalization of the Pappus
configuration . . . . . . . . . . . . . 299--303
T. H. Willcocks A note on some perfect squared squares 304--308
J. H. Chung Modular representations of the symmetric
group . . . . . . . . . . . . . . . . . 309--327
S. Chowla and
I. N. Herstein and
W. K. Moore On recursions connected with symmetric
groups. I . . . . . . . . . . . . . . . 328--334
E. A. Coddington and
N. Levinson On the nature of the spectrum of
singular second order linear
differential equations . . . . . . . . . 335--338
Georges Reeb Sur les solutions périodiques de certains
syst\`emes différentiels perturbés.
(French) [On the periodic solutions of
certain perturbed differential
equations] . . . . . . . . . . . . . . . 339--362
D. A. S. Fraser Normal samples with linear constraints
and given variances . . . . . . . . . . 363--366
Alfred Brauer and
R. L. Reynolds On a theorem of Aubry--Thue . . . . . . 367--374
Paul Erd\Hos and
Harold N. Shapiro On the changes of sign of a certain
error function . . . . . . . . . . . . . 375--385
M. S. Macphail Some theorems on absolute summability 386--390
H. S. M. Coxeter Extreme forms . . . . . . . . . . . . . 391--441
Václav Hlavatý Spinor space and line geometry. I . . . 442--459
S. Bochner A new viewpoint in differential geometry 460--470
H. W. Ellis Darboux properties and applications to
non-absolutely convergent integrals . . 471--485
N. C. Ankeny and
S. Chowla The class number of the cyclotomic field 486--494
Marshall Hall and
H. J. Ryser Cyclic incidence matrices . . . . . . . 495--502
Laurent Schwartz Analyse et synth\`ese harmoniques dans
les espaces de distributions. (French)
[Harmonic analysis and synthesis in
distribution space] . . . . . . . . . . 503--512
Jacques Touchard Sur un probl\`eme de configurations et
sur les fractions continues. (French)
[On a configuration problem and on
continued fractions] . . . . . . . . . . 2--25
S. Minakshisundaram Zeta functions on the unitary sphere . . 26--30
J. K. Goldhaber The homomorphic mapping of certain
matric algebras onto rings of diagonal
matrices . . . . . . . . . . . . . . . . 31--42
D. C. Murdoch Contributions to noncommutative ideal
theory . . . . . . . . . . . . . . . . . 43--57
H. Davenport and
P. Erd\Hos Note on normal decimals . . . . . . . . 58--63
Henry B. Mann On products of sets of group elements 64--66
William H. Simons The Fourier coefficients of the modular
function $\lambda(\tau)$ . . . . . . . . 67--80
David Gans Axioms for elliptic geometry . . . . . . 81--92
J. M. Feld On the geometry of lineal elements on a
sphere, Euclidean kinematics, and
elliptic geometry . . . . . . . . . . . 93--110
Fritz Rothberger On the property ${\sf C}$ and a problem
of Hausdorff . . . . . . . . . . . . . . 111--116
Fritz Rothberger A remark on the existence of a
denumerable base for a family of
functions . . . . . . . . . . . . . . . 117--119
Burton W. Jones An extension of Meyer's theorem on
indefinite ternary quadratic forms . . . 120--128
A. A. Albert On simple alternative rings . . . . . . 129--135
S. Beatty and
N. D. Lane A symmetric proof of the Riemann--Roch
theorem, and a new form of the unit
theorem . . . . . . . . . . . . . . . . 136--148
Charles Fox Iterated transforms . . . . . . . . . . 149--161
Christine Williams Ayoub A theory of normal chains . . . . . . . 162--188
Arthur Moór Quelques remarques sur la généralisation
du scalaire de courbure et du scalaire
principal. (French) [Some remarks on the
generalization of the scalar curvature
and the principal scalar] . . . . . . . 189--197
Ross E. Graves A closure criterion for orthogonal
functions . . . . . . . . . . . . . . . 198--203
Patrick Du Val On surfaces whose canonical system is
hyperelliptic . . . . . . . . . . . . . 204--221
Henry B. Mann Some theorems on difference sets . . . . 222--226
R. M. Thrall On a Galois connection between algebras
of linear transformations and lattices
of subspaces of a vector space . . . . . 227--239
Robert Frucht A one-regular graph of degree three . . 240--247
G. F. D. Duff $F$-equation Fourier transforms . . . . 248--256
William Karush Isoperimetric problems in the calculus
of variations . . . . . . . . . . . . . 257--280
William Karush The index of an extremal arc . . . . . . 281--294
A. J. Hoffman Cyclic affine planes . . . . . . . . . . 295--301
Gerald Berman Finite projective geometries . . . . . . 302--313
W. T. Tutte The factors of graphs . . . . . . . . . 314--328
Paul A. White Some characterizations of generalized
manifolds with boundaries . . . . . . . 329--342
Olin B. Faircloth On the number of solutions of some
general types of equations in a finite
field . . . . . . . . . . . . . . . . . 343--351
K. G. Ramanathan Abelian quadratic forms . . . . . . . . 352--368
Franklin Haimo Groups with a certain condition on
conjugates . . . . . . . . . . . . . . . 369--372
G. de B. Robinson On a conjecture by J. H. Chung . . . . . 373--380
Masaru Osima On the irreducible representations of
the symmetric group . . . . . . . . . . 381--384
A. F. Stevenson and
W. A. Bassali On the possible forms of differential
equation which can be factorized by the
Schrödinger--Infeld method . . . . . . . 385--395
B. R. Gelbaum and
G. K. Kalisch Measure in semigroups . . . . . . . . . 396--406
M. S. Robertson A coefficient problem for functions
regular in an annulus . . . . . . . . . 407--423
I. E. Glover Analytic functions with an irregular
linearly measurable set of singular
points . . . . . . . . . . . . . . . . . 424--435
P. G. Rooney A new representation and inversion
theory for the Laplace transformation 436--444
G. M. Petersen A note on divergent series . . . . . . . 445--454
G. G. Lorentz Multiply subadditive functions . . . . . 455--462
Israel Halperin The supremum of a family of additive
functions . . . . . . . . . . . . . . . 463--479
G. A. Dirac Map-colour theorems . . . . . . . . . . 480--490
Joseph L. Zemmer, Jr. On the subalgebras of finite division
algebras . . . . . . . . . . . . . . . . 491--503
D. G. Duncan On D. E. Littlewood's algebra of
$S$-functions . . . . . . . . . . . . . 504--512
Alphonse Matte Sur de nouvelles solutions oscillatoires
de équations de la gravitation. (French)
[On new oscillatory solutions of the
gravitational equations] . . . . . . . . 1--16
L. Infeld The coordinate conditions and the
equations of motion . . . . . . . . . . 17--25
A. E. Scheidegger Multiple quantization . . . . . . . . . 26--36
M. H. Martin The propagation of a plane shock into a
quiet atmosphere . . . . . . . . . . . . 37--39
Ernst Roeser Corresponding polyhedra in the three
spaces of constant curvature . . . . . . 40--45
J. L. Synge A simple bounding formula for integrals 46--52
N. S. Hawley Constant holomorphic curvature . . . . . 53--56
G. F. D. Duff Harmonic $p$-tensors on normal
hyperbolic Riemannian spaces . . . . . . 57--80
William Gustin Partitioning an arithmetic interval . . 81--85
Albert Edrei Proof of a conjecture of Schoenberg on
the generating function of a totally
positive sequence . . . . . . . . . . . 86--94
R. S. Pierce The Boolean algebra of regular open sets 95--100
G. M. Ewing and
W. R. Utz Continuous solutions of the functional
equation $f^n(x) = f(x)$ . . . . . . . . 101--103
E. D. Rainville Generating functions for Bessel and
related polynomials . . . . . . . . . . 104--106
P. L. Butzer On two-dimensional Bernstein polynomials 107--113
D. B. Sumner A convolution transform admitting an
inversion formula of
integro-differential type . . . . . . . 114--117
I. I. Hirschman, Jr. Systems of partial differential
equations which generalize the heat
equation . . . . . . . . . . . . . . . . 118--128
A. Grothendieck Sur les applications linéaires faiblement
compactes d'espaces du type $C(K)$.
(French) [On the applications of linear
weakly-compact spaces of the type
$C(K)$] . . . . . . . . . . . . . . . . 129--173
D. G. Bourgin Some multiplicative functionals . . . . 174--178
R. P. Boas, Jr. Integral functions with negative zeros 179--184
David Slepian On the number of symmetry types of
Boolean functions of $n$ variables . . . 185--193
Walter Rudin A remark concerning Graves' closure
criterion . . . . . . . . . . . . . . . 194--195
G. F. D. Duff Boundary value problems associated with
the tensor Laplace equation . . . . . . 196--210
Richard Arens Extension of coverings, of
pseudometrics, and of
linear-space-valued mappings . . . . . . 211--215
Patrick Du Val Regular surfaces of genus two. I . . . . 216--237
I. N. Herstein A theorem on rings . . . . . . . . . . . 238--241
Tadasi Nakayama On the commutativity of certain division
rings . . . . . . . . . . . . . . . . . 242--244
Leo Moser On non-averaging sets of integers . . . 245--252
R. F. Churchhouse A criterion for irrationality . . . . . 253--260
Harvey Cohn Stable lattices . . . . . . . . . . . . 261--270
B. W. Jones Correction to ``An extension of Meyer's
theorem on indefinite ternary quadratic
forms'' . . . . . . . . . . . . . . . . 271--272
Israel Halperin Function spaces . . . . . . . . . . . . 273--288
J. D. Hill Summability methods defined by Riemann
sums . . . . . . . . . . . . . . . . . . 289--296
K. W. Lamson On the curvature tensor of Einstein's
generalized theory of gravitation . . . 297--300
Fred Brafman A relation between ultraspherical and
Jacobi polynomial sets . . . . . . . . . 301--305
Leonard Carlitz A theorem of Glaisher . . . . . . . . . 306--316
Leonard Carlitz Weighted quadratic partitions over a
finite field . . . . . . . . . . . . . . 317--323
J. G. Elliott Autometrization and the symmetric
difference . . . . . . . . . . . . . . . 324--331
J. K. Goldhaber and
G. Whaples On some matrix theorems of Frobenius and
McCoy . . . . . . . . . . . . . . . . . 332--335
Masaru Osima Some remarks on the characters of the
symmetric group . . . . . . . . . . . . 336--343
Jean-Marie Maranda On $\germ B$-adic integral
representations of finite groups . . . . 344--355
Hirosi Nagao Note on the modular representations of
symmetric groups . . . . . . . . . . . . 356--363
G. C. Shephard Unitary groups generated by reflections 364--383
H. S. M. Coxeter and
J. A. Todd An extreme duodenary form . . . . . . . 384--392
G. W. Tyler Numerical integration of functions of
several variables . . . . . . . . . . . 393--412
S. S. Shrikhande The non-existence of certain affine
resolvable balanced incomplete block
designs . . . . . . . . . . . . . . . . 413--420
T. G. Ostrom Concerning difference sets . . . . . . . 421--424
Emma Lehmer On residue difference sets . . . . . . . 425--432
L. J. Mordell Note on the linear symmetric congruence
in $n$ variables . . . . . . . . . . . . 433--438
R. G. Ayoub On the Waring--Siegel theorem . . . . . 439--450
G. L. Watson On integers $n$ relatively prime to
$[\alpha n]$ . . . . . . . . . . . . . . 451--455
Theodor Estermann On the number of primitive lattice
points in a parallelogram . . . . . . . 456--459
Marlow Sholander Postulates for Boolean algebras . . . . 460--464
A. H. Copeland, Sr. and
Frank Harary A characterization of implicative
Boolean rings . . . . . . . . . . . . . 465--469
S. I. Goldberg Extensions of Lie algebras and the third
cohomology group . . . . . . . . . . . . 470--476
D. G. Higman Focal series in finite groups . . . . . 477--497
Franklin Haimo The $FC$-chain of a group . . . . . . . 498--511
N. D. Lane and
Peter Scherk Differentiable points in the conformal
plane . . . . . . . . . . . . . . . . . 512--518
T. K. Pan Variation of congruences of curves of an
orthogonal ennuple in a Riemannian space 519--523
G. F. D. Duff A tensor equation of elliptic type . . . 524--535
Charles Walmsley Null trigonometric series in
differential equations . . . . . . . . . 536--543
R. P. Agarwal General transformations of bilateral
cognate trigonometrical series of
ordinary hypergeometric type . . . . . . 544--553
F. J. Dyson Fourier transforms of distribution
functions . . . . . . . . . . . . . . . 554--558
P. L. Butzer Linear combinations of Bernstein
polynomials . . . . . . . . . . . . . . 559--567
G. G. Lorentz and
D. G. Wertheim Representation of linear functionals on
Köthe spaces . . . . . . . . . . . . . . 568--575
H. W. Ellis and
Israel Halperin Function spaces determined by a
levelling length function . . . . . . . 576--592
L. E. J. Brouwer Points and spaces . . . . . . . . . . . 1--17
B. van der Pol Note on the gamma function . . . . . . . 18--22
Leonard Carlitz The first factor of the class number of
a cyclic field . . . . . . . . . . . . . 23--26
G. G. Lorentz and
A. Robinson Core-consistency and total inclusion for
methods of summability . . . . . . . . . 27--34
Marshall Hall, Jr. and
W. S. Connor An embedding theorem for balanced
incomplete block designs . . . . . . . . 35--41
D. A. S. Fraser Completeness of order statistics . . . . 42--45
D. A. S. Fraser Non-parametric theory . . . . . . . . . 46--68
B. E. Mitchell Unitary transformations . . . . . . . . 69--72
G. F. D. Duff On linear partial differential equations
of the second order having geodesic
solutions . . . . . . . . . . . . . . . 73--79
W. T. Tutte A contribution to the theory of
chromatic polynomials . . . . . . . . . 80--91
W. R. Hutcherson and
S. T. Gormsen Maps of certain algebraic curves
invariant under cyclic involutions of
periods three, five, and seven . . . . . 92--98
G. P. Henderson Parallel curves . . . . . . . . . . . . 99--107
F. A. Behrend The Steinitz--Gross theorem on sums of
vectors . . . . . . . . . . . . . . . . 108--124
J. S. Frame and
G. de B. Robinson On a theorem of Osima and Nagao . . . . 125--127
G. C. Shephard A construction for Wythoffian polytopes 128--134
Burnett Meyer On the symmetries of spherical harmonics 135--157
A. Grothendieck Sur certains sous-espaces vectoriels de
$L^p$ . . . . . . . . . . . . . . . . . 158--160
E. J. McShane A theory of convergence . . . . . . . . 161--168
E. A. Coddington The spectral matrix and Green's function
for singular self-adjoint boundary value
problems . . . . . . . . . . . . . . . . 169--185
Eugene Lukacs and
Otto Szász Certain Fourier transforms of
distributions . . . . . . . . . . . . . 186--189
P. G. Rooney An inversion and representation theory
for the Laplace integral of
abstractly-valued functions . . . . . . 190--209
T. K. Pan On a generalization of the first
curvature of a curve in a hypersurface
of a Riemannian space . . . . . . . . . 210--216
E. A. Nordhaus and
L. Lapidus Brouwerian geometry . . . . . . . . . . 217--229
Peter Scherk and
J. H. B. Kemperman Complexes in Abelian groups . . . . . . 230--237
J. H. B. Kemperman and
Peter Scherk On sums of sets of integers . . . . . . 238--252
P. M. Cohn On homomorphic images of special Jordan
algebras . . . . . . . . . . . . . . . . 253--264
Harvey Cohn Stable lattices . . . . . . . . . . . . 265--273
G. C. Shephard and
J. A. Todd Finite unitary reflection groups . . . . 274--304
Jean Dieudonné Les isomorphismes exceptionnels entre
les groupes classiques finis . . . . . . 305--315
J. S. Frame and
G. de B. Robinson and
R. M. Thrall The hook graphs of the symmetric group 316--324
S. A. Jennings Substitution groups of formal power
series . . . . . . . . . . . . . . . . . 325--340
D. A. Sprott A note on balanced incomplete block
designs . . . . . . . . . . . . . . . . 341--346
W. T. Tutte A short proof of the factor theorem for
finite graphs . . . . . . . . . . . . . 347--352
W. E. Briggs An elementary proof of a theorem about
the representation of primes by
quadratic forms . . . . . . . . . . . . 353--363
A. L. Whiteman The sixteenth power residue character of
2 . . . . . . . . . . . . . . . . . . . 364--373
Irving Kaplansky Ring isomorphisms of Banach algebras . . 374--381
Shmuel Agmon The relaxation method for linear
inequalities . . . . . . . . . . . . . . 382--392
T. S. Motzkin and
I. J. Schoenberg The relaxation method for linear
inequalities . . . . . . . . . . . . . . 393--404
M. S. Macphail On some recent developments in the
theory of series . . . . . . . . . . . . 405--409
R. P. Agarwal On Bessel polynomials . . . . . . . . . 410--415
H. M. Sternberg and
R. L. Sternberg A two-point boundary problem for
ordinary self-adjoint differential
equations of fourth order . . . . . . . 416--419
C. R. Putnam On the continuous spectra of singular
boundary value problems . . . . . . . . 420--426
G. F. D. Duff A tensor boundary value problem of mixed
type . . . . . . . . . . . . . . . . . . 427--440
P. R. Garabedian and
M. Schiffer On a double integral variational problem 441--446
Charles Walmsley Correction to ``Null trigonometric
series in differential equations'' . . . 447--448
Emma Lehmer On the cyclotomic numbers of order
sixteen . . . . . . . . . . . . . . . . 449--454
Morgan Ward The maximal prime divisors of linear
recurrences . . . . . . . . . . . . . . 455--462
S. Chowla and
W. E. Briggs On discriminants of binary quadratic
forms with a single class in each genus 463--470
Hubert Butts and
Marshall Hall, Jr. and
H. B. Mann On integral closure . . . . . . . . . . 471--473
H. B. Mann On an exceptional phenomenon in certain
quadratic extensions . . . . . . . . . . 474--476
H. A. Hanson Some relations between various types of
normality of numbers . . . . . . . . . . 477--485
G. de B. Robinson On the modular representations of the
symmetric group Part IV . . . . . . . . 486--497
M. D. Burrow A generalization of the Young diagram 498--508
D. G. Duncan Note on the algebra of $S$-functions . . 509--510
Masaru Osima Some remarks on the characters of the
symmetric group. II . . . . . . . . . . 511--521
O. H. Hamilton A short proof of the
Cartwright--Littlewood fixed point
theorem . . . . . . . . . . . . . . . . 522--524
Truman Botts On lattice embeddings for partially
ordered sets . . . . . . . . . . . . . . 525--528
J. H. Barrett Differential equations of non-integer
order . . . . . . . . . . . . . . . . . 529--541
M. H. Protter The Cauchy problem for a hyperbolic
second order equation with data on the
parabolic line . . . . . . . . . . . . . 542--553
S. D. Conte and
W. C. Sangren An expansion theorem for a pair of
singular first order equations . . . . . 554--560
F. V. Atkinson On linear perturbation of non-linear
differential equations . . . . . . . . . 561--571
P. L. Butzer and
W. Kozakiewicz On the Riemann derivatives for
integrable functions . . . . . . . . . . 572--581
V. L. Shapiro Logarithmic capacity of sets and double
trigonometric series . . . . . . . . . . 582--592
R. E. Greenwood and
A. M. Gleason Combinatorial relations and chromatic
graphs . . . . . . . . . . . . . . . . . 1--7
Robert Frucht Remarks on finite groups defined by
generating relations . . . . . . . . . . 8--17
H. S. M. Coxeter On Laves' graph of girth ten . . . . . . 18--23
K. D. Fryer A class of permutation groups of prime
degree . . . . . . . . . . . . . . . . . 24--34
R. A. Beaumont and
R. P. Peterson Set-transitive permutation groups . . . 35--42
Samuel Eilenberg and
Saunders MacLane On the homology theory of abelian groups 43--53
L. E. Fuller A canonical set for matrices over a
principal ideal ring modulo $m$ . . . . 54--59
Harry Goheen The Wedderburn theorem . . . . . . . . . 60--62
Paul Erd\Hos and
H. N. Shapiro The existence of a distribution function
for an error term related to the Euler
function . . . . . . . . . . . . . . . . 63--75
J. A. Jenkins On explicit bounds in Schottky's theorem 76--82
A. W. Goodman and
E. Reich On regions omitted by univalent
functions. II . . . . . . . . . . . . . 83--88
D. B. Sumner Convolution transforms related to
nonharmonic Fourier series . . . . . . . 89--100
P. G. Rooney On an inversion formula for the Laplace
transformation . . . . . . . . . . . . . 101--115
T. E. Hull and
C. Froese Asymptotic behaviour of the inverse of a
Laplace transform . . . . . . . . . . . 116--125
G. F. D. Duff On the potential theory of coclosed
harmonic forms . . . . . . . . . . . . . 126--137
R. G. Ayoub On Selberg's lemma for algebraic fields 138--143
T. K. Pan Correction to ``On a generalization of
the first curvature of a curve in a
hypersurface of a Riemannian space'' . . 144--144
Martin Kneser Two remarks on extreme forms . . . . . . 145--149
E. S. Barnes Note on extreme forms . . . . . . . . . 150--154
Joachim Lambek and
Leo Moser On integers $n$ relatively prime to
$f(n)$ . . . . . . . . . . . . . . . . . 155--158
Leo Moser and
Max Wyman On solutions of $xsp d = 1$ in symmetric
groups . . . . . . . . . . . . . . . . . 159--168
S. A. Jennings The group ring of a class of infinite
nilpotent groups . . . . . . . . . . . . 169--187
W. P. Brown Generalized matrix algebras . . . . . . 188--190
N. A. Wiegmann Some theorems on matrices with real
quaternion elements . . . . . . . . . . 191--201
I. N. Herstein A theorem concerning three fields . . . 202--203
J. C. Morelock and
N. C. Perry On algebraic surfaces termwise invariant
under cyclic collineations . . . . . . . 204--207
Deane Montgomery and
Hans Samelson A theorem on fixed points of involutions
in $Ssp 3$ . . . . . . . . . . . . . . . 208--220
C. A. Hayes, Jr. and
C. Y. Pauc Full individual and class
differentiation theorems in their
relations to halo and Vitali properties 221--274
Ernest Michael Point-finite and locally finite
coverings . . . . . . . . . . . . . . . 275--279
C. R. Putnam On dynamical systems with one degree of
freedom . . . . . . . . . . . . . . . . 280--283
M. H. Martin The propagation of a plane shock into a
quiet atmosphere. II . . . . . . . . . . 284--288
R. G. Bartle and
N. Dunford and
J. Schwartz Weak compactness and vector measures . . 289--305
H. G. Helfenstein Conformal maps with least distortion . . 306--313
P. G. Rooney An application of some spaces of Lorentz 314--321
R. V. Kadison Isomorphisms of factors of infinite type 322--327
E. Rosenthall Reducible diophantine equations and
their parametric representations . . . . 328--336
R. P. Bambah and
K. Rogers An inhomogeneous minimum for nonconvex
star-regions with hexagonal symmetry . . 337--346
D. H. Lehmer The distribution of totatives . . . . . 347--357
A. T. Butson and
B. M. Stewart Systems of linear congruences . . . . . 358--368
D. A. Sprott Some series of partially balanced
incomplete block designs . . . . . . . . 369--381
R. M. Thrall A class of algebras without unity
element . . . . . . . . . . . . . . . . 382--390
G. de B. Robinson On the modular representation of the
symmetric group. V . . . . . . . . . . . 391--400
Nathan Divinsky Pseudo-regularity . . . . . . . . . . . 401--410
I. N. Herstein Two remarks on the commutativity of
rings . . . . . . . . . . . . . . . . . 411--413
Beniamino Segre Ovals in a finite projective plane . . . 414--416
T. G. Ostrom Ovals, dualities, and Desargues's
theorem . . . . . . . . . . . . . . . . 417--431
K. D. Fryer and
Israel Halperin On the coordinatization theorem of J.
von Neumann . . . . . . . . . . . . . . 432--444
Richard Blum Subspaces of Riemannian spaces . . . . . 445--452
A. P. Calderón and
A. Devinatz On Fourier--Stieltjes transforms . . . . 453--461
I. I. Hirschman, Jr. Weighted quadratic norms and Legendre
polynomials . . . . . . . . . . . . . . 462--482
P. C. Gilmore and
A. Robinson Metamathematical considerations on the
relative irreducibility of polynomials 483--489
D. G. Higman Induced and produced modules . . . . . . 490--508
D. G. Higman On orders in separable algebras . . . . 509--515
J.-M. Maranda On the equivalence of representations of
finite groups by groups of automorphisms
of modules over Dedekind rings . . . . . 516--526
L. S. Goddard Note on a matrix theorem of A. Brauer
and its extension . . . . . . . . . . . 527--530
M. Marcus Some results on the asymptotic behavior
of linear systems . . . . . . . . . . . 531--538
Arno Jaeger On partial differential equations in a
field of prime characteristic . . . . . 539--542
Mary Ellen Rudin Countable paracompactness and Souslin's
problem . . . . . . . . . . . . . . . . 543--547
B. J. Ball A note on the separability of an ordered
space . . . . . . . . . . . . . . . . . 548--551
A. Grothendieck Une caractérisation vectorielle-métrique
des espaces $L^1$. (French) [A
vectorial-metric characterization of
$L^1$ spaces] . . . . . . . . . . . . . 552--561
J. L. Koszul Sur la forme hermitienne canonique des
espaces homog\`enes complexes. (French)
[On the canonical Hermitian form of
homogeneous complex spaces] . . . . . . 562--576
Michio Yoshida On polynomial extensions of rings . . . 1--2
Michio Yoshida A theorem on Zariski rings . . . . . . . 3--4
W. H. Mills Certain Diophantine equations linear in
one unknown . . . . . . . . . . . . . . 5--12
W. T. Tutte A class of Abelian groups . . . . . . . 13--28
Morris Newman The normalizer of certain modular
subgroups . . . . . . . . . . . . . . . 29--31
N. A. Wiegmann On unitary and symmetric matrices with
real quaternion elements . . . . . . . . 32--39
Casper Goffman and
G. M. Petersen Submethods of regular matrix summability
methods . . . . . . . . . . . . . . . . 40--46
W. J. Thron Entire solutions of the functional
equation $f(f(z)) = g(z)$ . . . . . . . 47--48
P. G. Rooney On an inversion formula for the Laplace
transformation. II . . . . . . . . . . . 49--52
A. D. Martin A regular singular functional . . . . . 53--68
J. M. Shapiro A condition for existence of moments of
infinitely divisible distributions . . . 69--71
Philip Hartman and
Aurel Wintner On disconjugate differential systems . . 72--81
J. B. Diaz and
G. S. S. Ludford On a theorem of Le Roux . . . . . . . . 82--85
G. F. D. Duff Uniqueness in boundary value problems
for the second order hyperbolic equation 86--96
N. D. Kazarinoff and
R. McKelvey Asymptotic solution of differential
equations in a domain containing a
regular singular point . . . . . . . . . 97--104
N. D. Lane and
F. A. Sherk Differentiable points of arcs in
conformal $3$-space . . . . . . . . . . 105--118
Seymour Schuster Pencils of polarities in projective
space . . . . . . . . . . . . . . . . . 119--144
Shôshichi Kobayashi On connections of Cartan . . . . . . . . 145--156
K. T. Smith A generalization of an inequality of
Hardy and Littlewood . . . . . . . . . . 157--170
H. E. Rauch Harmonic and analytic functions of
several variables and the maximal
theorem of Hardy and Littlewood . . . . 171--183
W. B. Jurkat An extension problem for functions with
monotonic derivatives . . . . . . . . . 184--191
C. W. McArthur On relationships amongst certain spaces
of sequences in an arbitrary Banach
space . . . . . . . . . . . . . . . . . 192--197
Richard Bellman On a quasi-linear equation . . . . . . . 198--202
G. F. D. Duff Modified boundary value problems for a
quasi-linear elliptic equation . . . . . 203--219
T. E. Hull Some algebraic properties of asymptotic
power series . . . . . . . . . . . . . . 220--224
Leo Moser and
Max Wyman Asymptotic Expansions . . . . . . . . . 225--233
N. S. Mendelsohn The asymptoic series for a certain class
of permutation problems . . . . . . . . 234--244
H. J. Ryser Maximal determinants in combinatorial
investigations . . . . . . . . . . . . . 245--249
L. A. Kokoris On a class of almost alternative
algebras . . . . . . . . . . . . . . . . 250--255
J. de Groot Orthogonal isomorphic representations of
free groups . . . . . . . . . . . . . . 256--262
Seán Tobin On a theorem of Baer and Higman . . . . 263--270
C. W. Curtis On commuting rings of endomorphisms . . 271--292
E. S. Barnes The covering of space by spheres . . . . 293--304
Jacques Touchard Nombres exponentiels et nombres de
Bernoulli. (French) [Exponential numbers
and Bernoulli numbers] . . . . . . . . . 305--320
Max Wyman and
Leo Moser On some polynomials of Touchard . . . . 321--322
Adil Yaqub On the theory of ring-logics . . . . . . 323--328
Irving Reiner Maschke modules over Dedekind rings . . 329--334
Erwin Kleinfeld Standard and accessible rings . . . . . 335--340
M. P. Drazin Algebraic and diagonable rings . . . . . 341--354
S. A. Amitsur Radicals of polynomial rings . . . . . . 355--361
W. L. Edge Conics and orthogonal projectivities in
a finite plane . . . . . . . . . . . . . 362--382
Douglas Derry Convex hulls of simple space curves . . 383--388
Frans Handest Constructions in hyperbolic geometry . . 389--394
Bernhard Banaschewski Local connectedness of extension spaces 395--398
L. R. Ford, Jr. and
D. R. Fulkerson Maximal flow through a network . . . . . 399--404
E. N. Gilbert Enumeration of labelled graphs . . . . . 405--411
A. L. Dulmage and
J. E. L. Peck Certain infinite zero-sum two-person
games . . . . . . . . . . . . . . . . . 412--416
H. W. Ellis On the basis problem for vector valued
function spaces . . . . . . . . . . . . 417--422
J. A. Jenkins On explicit bounds in Landau's theorem 423--425
E. P. Miles, Jr. and
Ernest Williams The Cauchy problem for linear partial
differential equations with restricted
boundary conditions . . . . . . . . . . 426--431
J. L. Ericksen and
R. A. Toupin Implications of Hadamard's conditions
for elastic stability with respect to
uniqueness theorems . . . . . . . . . . 432--436
D. B. Sumner A generalized averaging operator . . . . 437--446
Pasquale Porcelli Note on a Stieltjes type of inversion 447--448
Harry Gonshor Spectral theory for a class of nonnormal
operators . . . . . . . . . . . . . . . 449--461
H. A. Dye and
R. S. Phillips Groups of positive operators . . . . . . 462--486
Hanno Rund Hypersurfaces of a Finsler space . . . . 487--503
P. R. Beesack and
Binyamin Schwarz On the zeros of solutions of
second-order linear differential
equations . . . . . . . . . . . . . . . 504--515
L. Leblanc and
G. E. Fox On the extension of measure by the
method of Borel . . . . . . . . . . . . 516--523
M. Marcus and
J. L. McGregor Extremal properties of Hermitian
matrices . . . . . . . . . . . . . . . . 524--531
N. S. Mendelsohn Non-Desarguesian projective plane
geometries which satisfy the harmonic
point axiom . . . . . . . . . . . . . . 532--562
T. G. Ostrom Double transitivity in finite projective
planes . . . . . . . . . . . . . . . . . 563--567
L. Carlitz Resolvents of certain linear groups in a
finite field . . . . . . . . . . . . . . 568--579
Robert Steinberg Prime power representations of finite
linear groups . . . . . . . . . . . . . 580--591
B. W. Jones and
G. L. Watson On indefinite ternary quadratic forms 592--608
H. Mirkil New characterizations of polyhedral
cones . . . . . . . . . . . . . . . . . 1--4
Chuan-Chih Hsiung Some global theorems on hyper-surfaces 5--14
Lowell J. Paige A note on the Mathieu groups . . . . . . 15--18
D. G. Higman Relative cohomology . . . . . . . . . . 19--34
Michio Yoshida Some remarks on Noetherian rings . . . . 35--37
Bernhard Banaschewski Spaces of dimension zero . . . . . . . . 38--46
A. T. Butson Matrices with elements in a Boolean ring 47--59
Hans Schneider Characteristic polynomials . . . . . . . 60--67
Morris Newman Some theorems about $psb r(n)$ . . . . . 68--70
Morris Newman and
Olga Taussky Classes of positive definite unimodular
circulants . . . . . . . . . . . . . . . 71--73
Eckford Cohen Simultaneous pairs of linear and
quadratic equations in a Galois field 74--78
Meyer Jerison The set of all generalized limits of
bounded sequences . . . . . . . . . . . 79--89
Harry F. Davis A note on asymptotic series . . . . . . 90--95
Ralph Henstock On Ward's Perron--Stieltjes integral . . 96--109
Charles Fox A generalization of the Cauchy principal
value . . . . . . . . . . . . . . . . . 110--117
Erwin Kreyszig On the zeros of the Fresnel integrals 118--131
D. S. Carter A minimum-maximum problem for
differential expressions . . . . . . . . 132--140
G. F. D. Duff A mixed problem for normal hyperbolic
linear partial differential equations of
second order . . . . . . . . . . . . . . 141--160
G. F. D. Duff Hyperbolic mixed problems for harmonic
tensors . . . . . . . . . . . . . . . . 161--179
Fred Brafman Some generating functions for Laguerre
and Hermite polynomials . . . . . . . . 180--187
Leonard Carlitz Some polynomials of Touchard connected
with the Bernoulli numbers . . . . . . . 188--190
Fred Brafman On Touchard polynomials . . . . . . . . 191--193
Leo Moser and
Max Wyman Asymptotic expansions. II . . . . . . . 194--209
L. R. Ford, Jr. and
D. R. Fulkerson A simple algorithm for finding maximal
network flows and an application to the
Hitchcock problem . . . . . . . . . . . 210--218
J. B. Roberts On a Diophantine problem . . . . . . . . 219--222
G. M. Petersen Sets and sub-series . . . . . . . . . . 223--224
G. A. Dirac Short proof of a map-colour theorem . . 225--226
D. S. Carter Correction to a minimum-maximum problem
for differential expressions . . . . . . 226--226
Robert Frucht Upper and lower bounds for the area of a
triangle for whose sides two symmetric
functions are known . . . . . . . . . . 227--231
A. P. Dempster The minimum of a definite ternary
quadratic form . . . . . . . . . . . . . 232--234
E. S. Barnes The perfect and extreme senary forms . . 235--242
H. S. M. Coxeter Groups generated by unitary reflections
of period two . . . . . . . . . . . . . 243--272
G. C. Shephard Abstract definitions for reflection
groups . . . . . . . . . . . . . . . . . 273--276
R. A. Rankin Diophantine approximation and horocyclic
groups . . . . . . . . . . . . . . . . . 277--290
J. de Groot Equivalent abelian groups . . . . . . . 291--297
Ky Fan and
Gordon Pall Imbedding conditions for Hermitian and
normal matrices . . . . . . . . . . . . 298--304
M. Marcus and
L. Lopes Inequalities for symmetric functions and
Hermitian matrices . . . . . . . . . . . 305--312
M. Marcus and
B. N. Moyls On the maximum principle of Ky Fan . . . 313--320
A. Sade Groupo\"\ides automorphes par le groupe
cyclique. (French) [Automorphic
groupoids by the cyclic group] . . . . . 321--335
N. A. Wiegmann Some generalizations of Burnside's
theorem . . . . . . . . . . . . . . . . 336--346
Robert Steinberg Prime power representations of finite
linear groups. II . . . . . . . . . . . 347--351
N. H. McCoy Certain classes of ideals in polynomial
rings . . . . . . . . . . . . . . . . . 352--362
J. B. Roberts On binomial coefficient residues . . . . 363--370
H. J. Ryser Combinatorial properties of matrices of
zeros and ones . . . . . . . . . . . . . 371--377
D. R. Hughes A class of non-Desarguesian projective
planes . . . . . . . . . . . . . . . . . 378--388
T. G. Ostrom Transitivities in projective planes . . 389--399
E. S. Wolk Dedekind completeness and a fixed-point
theorem . . . . . . . . . . . . . . . . 400--405
M. I. Aissen Cyclically ordered sets . . . . . . . . 406--412
J. J. Price Certain groups of orthonormal step
functions . . . . . . . . . . . . . . . 413--425
Walter Rudin The closed ideals in an algebra of
analytic functions . . . . . . . . . . . 426--434
J. A. Schatz Representation of Banach algebras with
an involution . . . . . . . . . . . . . 435--442
M. J. Mansfield On countably paracompact normal spaces 443--449
J. E. L. Peck and
A. L. Dulmage Games on a compact set . . . . . . . . . 450--458
P. G. Rooney On the inversion of the Gauss
transformation . . . . . . . . . . . . . 459--464
H. Gordon and
E. R. Lorch The projection of a linear functional on
the manifold of integrals . . . . . . . 465--474
Marston Morse and
William Transue Products of a $C$-measure and a locally
integrable mapping . . . . . . . . . . . 475--486
C. T. Rajagopal A Tauberian theorem for the
Riemann--Liouville integral of integer
order . . . . . . . . . . . . . . . . . 487--499
Erwin Kreyszig On the complementary functions of the
Fresnel integrals . . . . . . . . . . . 500--510
J. de Groot On a metric that characterizes dimension 511--514
Gert Sabidussi Graphs with given group and given
graph-theoretical properties . . . . . . 515--525
G. L. Watson The equivalence of quadratic forms . . . 526--548
Morris Newman Congruences for the coefficients of
modular forms and some new congruences
for the partition function . . . . . . . 549--552
M. H. Pearl On Cayley's parameterization . . . . . . 553--562
J. R. Isbell Some remarks concerning categories and
subspaces . . . . . . . . . . . . . . . 563--577
L. E. Ward, Jr. Completeness in semi-lattices . . . . . 578--582
I. N. Herstein A condition for the commutativity of
rings . . . . . . . . . . . . . . . . . 583--586
Walter Feit On the structure of Frobenius groups . . 587--596
J.-M. Maranda Factorization rings . . . . . . . . . . 597--623
D. E. Littlewood The inner plethysm of $S$-functions . . 1--16
D. E. Littlewood Products and plethysms of characters
with orthogonal, symplectic and
symmetric groups . . . . . . . . . . . . 17--32
Robert L. Davis A special formula for the Lie character 33--38
J. P. Jans The representation type of algebras and
subalgebras . . . . . . . . . . . . . . 39--44
Joachim Lambek Goursat's theorem and the Zassenhaus
lemma . . . . . . . . . . . . . . . . . 45--56
H. J. Ryser The term rank of a matrix . . . . . . . 57--65
Manohar N. Vartak On the Hasse--Minkowski invariant of the
Kronecker product of matrices . . . . . 66--72
R. G. Stanton and
D. A. Sprott A family of difference sets . . . . . . 73--77
L. R. Ford, Jr. and
D. R. Fulkerson Network flow and systems of
representatives . . . . . . . . . . . . 78--84
D. C. Handscomb On the random disorientation of two
cubes . . . . . . . . . . . . . . . . . 85--88
H. G. Helfenstein Geodesic groups of minimal surfaces . . 89--96
Harry Gonshor Spectral theory for a class of nonnormal
operators. II . . . . . . . . . . . . . 97--102
Wolfgang Schmidt On the convergence of mean values over
lattices . . . . . . . . . . . . . . . . 103--110
F. R. Keogh and
G. M. Petersen A generalized Tauberian theorem . . . . 111--114
H. Kober On the existence of the Burkill integral 115--121
R. P. Boas, Jr. On generalized averaging operators . . . 122--126
G. F. D. Duff Mixed problems for linear systems of
first order equations . . . . . . . . . 127--160
M. S. Robertson Schlicht Dirichlet series . . . . . . . 161--176
P. G. Rooney Laplace transforms and generalized
Laguerre polynomials . . . . . . . . . . 177--182
Erwin Kreyszig On some relations between partial and
ordinary differential equations . . . . 183--190
J. B. Roberts A new proof of a theorem of Lehmer . . . 191--194
H. S. Shukla Certain transformations of nearly-poised
bilateral hypergeometric series of
special type . . . . . . . . . . . . . . 195--201
S. W. Golomb and
Basil Gordon and
L. R. Welch Comma-free codes . . . . . . . . . . . . 202--209
L. M. Kelly and
W. O. J. Moser On the number of ordinary lines
determined by $n$ points . . . . . . . . 210--219
Robert Steinberg On the number of sides of a Petrie
polygon . . . . . . . . . . . . . . . . 220--221
J. R. Blum and
H. Chernoff and
M. Rosenblatt and
H. Teicher Central limit theorems for
interchangeable processes . . . . . . . 222--229
N. S. Mendelsohn and
A. L. Dulmage Some generalizations of the problem of
distinct representatives . . . . . . . . 230--241
A. H. Wallace Algebraic approximation of curves . . . 242--278
Bomshik Chang and
S. A. Jennings and
Rimhak Ree On certain pairs of matrices which
generate free groups . . . . . . . . . . 279--284
D. W. Dubois and
A. Steger A note on division algorithms in
imaginary quadratic number fields . . . 285--286
Maurice Auslander and
Alex Rosenberg Dimension of ideals in polynomial rings 287--293
A. Sade Groupo\"\ides automorphes par le groupe
géométrique et quasigroupes ``endo''.
(French) [Automorphic groupoids from the
geometric group and ``endo''
quasigroups] . . . . . . . . . . . . . . 294--320
Jacques Dixmier Sur les représentations unitaries des
groupes de Lie nilpotents. III. (French)
[On the unitary representations of
nilpotent Lie groups. III] . . . . . . . 321--348
A. J. Coleman The Betti numbers of the simple Lie
groups . . . . . . . . . . . . . . . . . 349--356
J. C. E. Dekker and
J. Myhill Retraceable sets . . . . . . . . . . . . 357--373
Carl C. Faith On conjugates in division rings . . . . 374--380
H. W. Ellis On the $M T^\ast$- and
$\lambda$-conjugates of ${\germ
L}^\lambda$ spaces . . . . . . . . . . . 381--391
Richard P. Gosselin A convergence theorem for double $L^2$
Fourier series . . . . . . . . . . . . . 392--398
D. O. Snow On integration of vector-valued
functions . . . . . . . . . . . . . . . 399--412
C. Kassimatis Functions which have generalized Riemann
derivatives . . . . . . . . . . . . . . 413--420
P. G. Rooney On some theorems of Doetsch . . . . . . 421--430
Fred Brauer Spectral theory for the differential
equation $L u = \lambda M u$ . . . . . . 431--446
R. R. D. Kemp A singular boundary value problem for a
non-self-adjoint differential operator 447--462
Peter Henrici On the product of two Kummer series . . 463--467
Max Wyman and
Leo Moser On the probl\`eme des ménages . . . . . . 468--480
W. T. Tutte The chords of the non-ruled quadric in
$PG(3,3)$ . . . . . . . . . . . . . . . 481--483
H. S. M. Coxeter The chords of the non-ruled quadric in
$PG(3,3)$ . . . . . . . . . . . . . . . 484--488
Sahib Ram Mandan An $S$-configuration in Euclidean and
elliptic $n$-space . . . . . . . . . . . 489--501
O. Bottema On the medians of a triangle in
hyperbolic geometry . . . . . . . . . . 502--506
T. G. Ostrom Correction to ``Transitivities in
projective planes'' . . . . . . . . . . 507--512
Frank Harary On the number of dissimilar graphs
between a given graph-subgraph pair . . 513--516
A. L. Dulmage and
N. S. Mendelsohn Coverings of bipartite graphs . . . . . 517--534
M. J. Englefield Oriented flat submanifolds in an affine
space . . . . . . . . . . . . . . . . . 535--546
Juris Hartmanis On the lattice of topologies . . . . . . 547--553
F. Rothberger Exemple effectif d'un ensemble
transfiniment non-projectif. (French)
[Practical example of a transfinitely
non-projective set] . . . . . . . . . . 554--560
Eckford Cohen Congruence representations in algebraic
number fields. II. Simultaneous linear
and quadratic congruences . . . . . . . 561--571
F. R. Keogh and
B. Lawton and
G. M. Petersen Well distributed sequences . . . . . . . 572--576
Morris Newman Further identities and congruences for
the coefficients of modular forms . . . 577--586
C. R. Putnam On bounded matrices with non-negative
elements . . . . . . . . . . . . . . . . 587--591
A. van der Sluis Orthogonal polynomials and
hypergeometric series . . . . . . . . . 592--612
P. G. Rooney On the inversion of the Gauss
transformation. II . . . . . . . . . . . 613--616
R. L. Jeffery Generalized integrals with respect to
functions of bounded variation . . . . . 617--626
James A. Jenkins On the Denjoy conjecture . . . . . . . . 627--631
R. C. MacCamy On Babinet's principle . . . . . . . . . 632--640
Andrew H. Wallace Analytic equivalence of algebroid curves 1--17
A. F. Horadam Involutions associated with the
Burkhardt configuration in $[4]$ . . . . 18--33
P. Erd\Hos Graph theory and probability . . . . . . 34--38
Daniel Gorenstein A class of Frobenius groups . . . . . . 39--47
Martin Pearl A further extension of Cayley's
parametrization . . . . . . . . . . . . 48--50
Joseph L. Zemmer Some ${\germ G}$ division algebras . . . 51--58
Hirosi Nagao A remark on the orthogonality relations
in the representation theory of finite
groups . . . . . . . . . . . . . . . . . 59--60
Marvin Marcus and
B. N. Moyls Linear transformations on algebras of
matrices . . . . . . . . . . . . . . . . 61--66
Th. J. Dekker On free products of cyclic rotation
groups . . . . . . . . . . . . . . . . . 67--69
Seth Warner Characters of Cartesian products of
algebras . . . . . . . . . . . . . . . . 70--79
Barron Brainerd $F$-rings of continuous functions. I . . 80--86
Bernhard Banaschewski On certain extensions of function rings 87--96
Juris Hartmanis Lattice theory of generalized partitions 97--106
I. S. Krule Concerning binary relations on connected
ordered spaces . . . . . . . . . . . . . 107--111
C. Ionescu Tulcea On a class of operators occurring in the
theory of chains of infinite order . . . 112--121
Richard K. Brown Typically-real functions . . . . . . . . 122--130
David F. Dawson Continued fractions with absolutely
convergent even or odd part . . . . . . 131--140
Louis Weisner Generating functions for Hermite
functions . . . . . . . . . . . . . . . 141--147
Louis Weisner Generating functions for Bessel
functions . . . . . . . . . . . . . . . 148--155
F. M. Ragab Series of products of Bessel polynomials 156--160
P. Erd\Hos Some remarks on prime factors of
integers . . . . . . . . . . . . . . . . 161--167
P. G. Rooney On the representation of functions as
Fourier transforms . . . . . . . . . . . 168--174
E. H. Neville The elliptic integrals of the third kind 175--194
G. F. D. Duff Mixed problems for hyperbolic equations
of general order . . . . . . . . . . . . 195--221
Richard M. Cohn An improved result concerning singular
manifolds of difference polynomials . . 222--234
H. A. Eliopoulos Subspaces of a generalized metric space 235--255
A. C. Woods On the irreducibilty of convex bodies 256--261
R. E. Nettleton and
K. Goldberg and
M. S. Green Dense subgraphs and connectivity . . . . 262--268
A. L. Dulmage and
N. S. Mendelsohn The term and stochastic ranks of a
matrix . . . . . . . . . . . . . . . . . 269--279
P. J. Higgins Disjoint transversals of subsets . . . . 280--285
Solomon Leader Separation and approximation in
topological vector lattices . . . . . . 286--296
Bernard R. Gelbaum Tensor products of Banach algebras . . . 297--310
Daniel Gorenstein and
I. N. Herstein A class of solvable groups . . . . . . . 311--320
Jacques Dixmier Sur les représentations unitaires des
groupes de Lie nilpotents. IV. (French)
[On the unitary representations of
nilpotent Lie groups. IV] . . . . . . . 321--344
Rimhak Ree Note on generalized Witt algebras . . . 345--352
Reinhold Baer Supersoluble immersion . . . . . . . . . 353--369
Elbert A. Walker Non-linear recursive sequences . . . . . 370--378
M. Marcus and
B. N. Moyls and
R. Westwick Extremal properties of Hermitian
matrices. II . . . . . . . . . . . . . . 379--382
Marvin Marcus and
Roger Purves Linear transformations on algebras of
matrices: the invariance of the
elementary symmetric functions . . . . . 383--396
L. J. Heider Prime dual ideals in Boolean algebras 397--408
Mark Mahowald On a paper of Maurice Sion . . . . . . . 409--415
H. W. Ellis On generalized Morse--Transue function
spaces . . . . . . . . . . . . . . . . . 416--426
James A. Jenkins On a type problem . . . . . . . . . . . 427--431
P. G. Rooney On some properties of functions analytic
in a half-plane . . . . . . . . . . . . 432--439
D. R. Fulkerson A network-flow feasibility theorem and
combinatorial applications . . . . . . . 440--451
F. A. Sherk The regular maps on a surface of genus
three . . . . . . . . . . . . . . . . . 452--480
Ichiro Amemiya and
Israel Halperin Complemented modular lattices . . . . . 481--520
S. Marcus Sur un théor\`eme de G. Szekeres,
concernant les fonctions monotones et
convexes. (French) [On a theorem of G.
Szekeres concerning monotone convex
functions] . . . . . . . . . . . . . . . 521--526
Fred Brauer Some results on uniqueness and
successive approximations . . . . . . . 527--533
Max Wyman The asymptotic behaviour of the Laurent
coefficients . . . . . . . . . . . . . . 534--555
Ernest Michael Convex structures and continuous
selections . . . . . . . . . . . . . . . 556--575
Albert Nijenhuis A note on hyperconvexity in Riemannian
manifolds . . . . . . . . . . . . . . . 576--582
Louis de Branges The $a$-local operator problem . . . . . 583--592
P. B. Kennedy On a theorem of Hayman concerning
quasi-bounded functions . . . . . . . . 593--600
Charles A. Hayes, Jr. Some principles underlying the
construction of measures . . . . . . . . 601--613
Seymour Schuster Pencils of null polarities . . . . . . . 614--620
W. T. Tutte On the symmetry of cubic graphs . . . . 621--624
W. L. Edge Quadrics over ${\rm GF}(2)$ and their
relevance for the cubic surface group 625--645
H. S. M. Coxeter Polytopes over ${\rm GF}(2)$ and their
relevance for the cubic surface group 646--650
James V. Whittaker On the structure of half-groups . . . . 651--659
Irving Reiner On the class number of representations
of an order . . . . . . . . . . . . . . 660--672
Casper Goffman and
G. M. Petersen Correction to the paper: ``Submethods of
regular matrix summability methods'' . . 384--384