Joseph H. Silverman, John Tate

eBook, PDF

Rational Points on Elliptic Curves (eBook, PDF)

Beschreibung

The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. "Rational Points on Elliptic Curves" stresses this interplay as it develops the basic theory, thereby providing an opportunity for advance undergraduates to appreciate the unity of modern mathematics. At the same time, every effort has been made to use only methods and results commonly included in the undergraduate curriculum. This accessibility, the informal writing style, and a wealth of exercises make "Rational Points on Elliptic Curves" an ideal introduction for students at all levels who are interested in learning about Diophantine equations and arithmetic geometry.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 23.05MB

Barrierefreiheit

• Text-to-Speech
• E-Mail des Verlags für Barrierefreiheitsfragen: [e-mail]
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Autor

Joseph H. Silverman is Professor of Mathematics at Brown University. He is the author of over 100 research articles and numerous books on elliptic curves, diophantine geometry, cryptography, and arithmetic dynamical systems. John T. Tate is Professor Emeritus of Mathematics at The University of Texas at Austin and at Harvard University. For his seminal contributions to number theory, he was awarded the 2010 Abel Prize.

Produktdetails

• Verlag: Springer New York
• Seitenzahl: 281
• Erscheinungstermin: 17. April 2013
• Englisch
• ISBN-13: 9781475742527
• Artikelnr.: 43993544

Rezensionen

"The two main changes for this edition are a new section on elliptic curve cryptography and an explanation of how elliptic curves played a role in the proof of Fermat's Last Theorem. ... the best place to start learning about elliptic curves." (Fernando Q. Gouvêa, MAA Reviews, maa.org, April, 2016)

"The book is an excellent introduction to elliptic curves over the rational numbers and ideal textbook for an undergraduate course. ... This book is highly recommended to students and researches interested in elliptic curves and their applications. It provides a natural step to a more advanced treatment of the subject." (Andrej Dujella, zbMATH 1346.11001, 2016)