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The Arithmetic of Elliptic Curves 2nd Edition by Joseph H. Silverman, ISBN-13: 978-0387094939
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"The Arithmetic of Elliptic Curves" by Joseph H. Silverman is a comprehensive exploration of the theory and applications of elliptic curves in modern mathematics, particularly in number theory and algebraic geometry. The second edition expands on key concepts such as the group structure of elliptic curves, rational points, the rank of elliptic curves, and their importance in the proof of Fermat's Last Theorem, while also integrating significant historical context and various applications in cryptography. Silverman’s clear exposition and detailed examples make it accessible for graduate students and researchers looking to understand the deep arithmetic properties of elliptic curves.
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Title: The Arithmetic of Elliptic Curves
Author: Joseph H. Silverman
Edition: 2nd Edition
Publisher: Springer
Publication Year: 2009
ISBN-13: 978-0387094939
Number of Pages: 550
Language: English
Series: Graduate Texts in Mathematics, Volume 218
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"The Arithmetic of Elliptic Curves" by Joseph H. Silverman offers a comprehensive and insightful exploration of the theory and applications of elliptic curves, bridging the gap between abstract mathematics and practical usage. The second edition enhances the original text with updated examples, clearer explanations, and advanced topics, making it an essential resource for both students and researchers in number theory and algebraic geometry. Silverman’s engaging writing style and meticulous approach facilitate a deeper understanding of this complex subject, allowing readers to appreciate the rich interplay between mathematics and its applications in cryptography and other fields. The book stands as a crucial reference for anyone seeking to delve into the arithmetic of elliptic curves and their significance in modern mathematics.
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