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Title: Rational Points on Elliptic Curves (Undergraduate Texts in Mathematics) by Joseph H. Silverman, J. Tate ISBN: 0-387-97825-9 Publisher: Springer Verlag Pub. Date: April, 1996 Format: Hardcover Volumes: 1 List Price(USD): $39.95 |
Average Customer Rating: 5 (2 reviews)
Rating: 5
Summary: Full of useful information and a great guide to intuition
Comment: The authors do a fantastic job of introducing elliptic curves for individuals and students interested in this area. Because of the importance of elliptic curves to cryptography, in integrable models in statistical mechanics, in superstring theory in physics, in mirror symmetry in algebraic geometry, in mechanics in the solution of the spinning top, and even in financial engineering, this book will be useful in building intuition about these interesting objects. Be careful in reading this book though...the theory of elliptic curves is beautiful and addicting, and you will want no doubt to read more about them after finishing it. There are two other books by Silverman that will alleviate the monkey on your back for more knowledge about elliptic curves. Happy reading......
Rating: 5
Summary: Excellent Introduction to Elliptic Curves
Comment: This wonderful book is an excellent introduction to elliptic curves over the rational numbers. It is self-contained and easily accessible, but still takes the reader quite far, thus giving an undergraduate reader some exciting glimpes of deeper mathematics. This book is ideally suited as a text book for an undergraduate course (I have myself enjoyed it as a course), but is written in a lively style that also makes it fun to read on one's own. It covers such topics as the Nagell-Lutz Theorem, Mordell's Theorem over rational numbers, elliptic curves over finite fields and reduction modulo p, Thue's Theorem and diophantine approximation, and even an introduction to complex multiplication. An appendix provides the reader with a basic background on projective geometry. This book is a must for any student wanting to see beyond the ordinary coursework, and at the same time provides a natural stepping stone to a more advanced treatment of the subject, such as "The Arithmetic of Elliptic Curves", also by Silverman, which has become pretty much the standard text on the subject.
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Title: The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics, 106) by Joseph H. Silverman ISBN: 0387962034 Publisher: Springer Verlag Pub. Date: January, 1986 List Price(USD): $59.95 |
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Title: Undergraduate Algebraic Geometry by Miles Reid, C. M. Series ISBN: 0521356628 Publisher: Cambridge University Press Pub. Date: 15 December, 1988 List Price(USD): $19.00 |
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Title: Undergraduate Commutative Algebra by Miles Reid, C. M. Series ISBN: 0521458897 Publisher: Cambridge University Press Pub. Date: 30 November, 1995 List Price(USD): $22.00 |
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Title: Riemann's Zeta Function by Harold M. Edwards ISBN: 0486417409 Publisher: Dover Pubns Pub. Date: 13 June, 2001 List Price(USD): $14.95 |
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Title: Algebra by Serge Lang ISBN: 038795385X Publisher: Springer Verlag Pub. Date: 08 January, 2002 List Price(USD): $69.95 |
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