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BibTeX entry
@Article{Agnew:2010:TCS,
author = "Alfonso F. Agnew and Alexandru Bobe and Wladimir G.
Boskoff and Bogdan D. Suceava",
title = "{Tzitzeica} Curves and Surfaces",
journal = j-MATHEMATICA-J,
volume = "12",
number = "1",
pages = "3:1--3:18",
month = "????",
year = "2010",
CODEN = "????",
ISSN = "1047-5974 (print), 1097-1610 (electronic)",
ISSN-L = "1047-5974",
bibdate = "Sat Nov 6 13:34:53 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/tex/bib/mathematicaj.bib;
http://www.mathematica-journal.com/issue/v11i3/",
URL = "http://www.mathematica-journal.com/data/uploads/2010/10/Agnew.pdf",
abstract = "Tzitzeica curves and surfaces represent early examples
of affine-invariant geometrical objects. At the time
Gheorghe Tzitzeica was studying these objects, affine
differential geometry (ADG) was in its infancy. ADG was
motivated by Felix Klein's influential Erlangen
program, where a geometry was defined by its set of
invariants under a group of symmetries. We find that
the issue lends itself well to a relatively elementary
discussion suitable for upper-division undergraduates
and nonspecialists, while still providing the basic
thrust of this elegant subject. Moreover, the topic is
an excellent one to illustrate the utility of
Mathematica's symbolic manipulation and graphics
capabilities. For this reason, the article nicely
complements the existing literature on the uses of
software in differential geometry (such as [1]), and it
provides material that would be useful for inclusion in
a differential geometry course either as an application
or a project.",
acknowledgement = ack-nhfb,
journal-URL = "http://www.mathematica-journal.com/",
}
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