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2 of 2 people found the following review helpful
5.0 out of 5 stars A beautiful version of some very nice geometry, August 25, 2013
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This review is from: Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics) (Hardcover)
This book is a delight from start to finish. The material on möbius transformations and geometry, in particular, is well done and easy to digest. The original idea of indicating the depth of material by card suits is a bit befuddling (what does spade mean again) but my impression is that most of the material will be easily understood by any math major with some analysis and algebra under their belt. The analytic approach to non-Euclidean geometry makes it fairly easy to follow and the connections outlined between elements of classical mathematics are enlightening (and unlikely to be encountered elsewhere). If you are looking for something elementary to read about Riemann surfaces, this is an excellent place to start - especially if you have not encountered differential forms before. A pleasure to dip into again and again!
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1 of 1 people found the following review helpful
5.0 out of 5 stars A tribute to Klein, Gauss and Bolyai, August 1, 2014
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Gilles Benson (Beauvais, France) - See all my reviews
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This review is from: Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics) (Hardcover)
Interesting introduction to geometry with very workable examples; I have found it an enjoyable and casual reading. Moreover, this is not merely a book on geometry but as the title says about geometry and algebra; it seems that the author has tried to avoid well trodden paths in order to present the main topics of the first chapters; especially D'alembert-Gauss theorem and solutions of quartic and cubic equations with radicals; one can also find a bit of number theory: Liouville numbers and the fact that \cos(\pi/n) is algebraic; further on, Toth takes us up to more elaborate subjects such as Fuchsian groups, a glimpse of Riemann surfaces and finally the platonic solids and Klein's study of the icosahedron and the quintic equation; he even takes time to introduce Euler's extraordinary formula: V + F = E + 2 so the book is replete with beautiful subjects going back 150 years ago
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0 of 13 people found the following review helpful
4.0 out of 5 stars first edition, October 12, 2002
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William Warren "Futures Unlimited" (Pontiac,Illinois,statti unitti) - See all my reviews
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This review is from: Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics) (Hardcover)
I have a copy of the first edition which has an interesting treatment of projective geometry. The 2cd edition appears to cover even more.
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Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics)
Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics) by Gábor Tóth PhD (Hardcover - May 2, 2002)
$79.95 $62.02
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