Treats the arithmetic theory of elliptic curves in its modern formulation through the use of basic algebraic number theory and algebraic geometry. This book outlines necessary algebro-geometric results and offers an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, and elliptic curves over finite fields.
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Dr. Joseph Silverman is a professor at Brown University and has been an instructor or professors since 1982. He was the Chair of the Brown Mathematics department from 2001-2004. He has received numerous fellowships, grants and awards, as well as being a frequently invited lecturer. He is currently a member of the Council of the American Mathematical Society. His research areas of interest are number theory, arithmetic geometry, elliptic curves, dynamical systems and cryptography. He has co-authored over 120 publications and has had over 20 doctoral students under his tutelage. He has published 9 highly successful books with Springer, including the recently released, An Introduction to Mathematical Cryptography, for Undergraduate Texts in Mathematics.
"This well-written book covers the basic facts about the geometry and arithmetic of elliptic curves, and is sure to become the standard reference in the subject. It meets the needs of at least three groups of people: students interested in doing research in Diophantine geometry, mathematicians needing a reference for standard facts about elliptic curves, and computer scientists interested in algorithms and needing an introduction to elliptic curves..."-- MATHEMATICAL REVIEWS
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Condition: Como nuevo. : Este libro trata la teoría aritmética de las curvas elípticas en su formulación moderna mediante el uso de la teoría algebraica de números básica y la geometría algebraica. Describe los resultados algebraico-geométricos necesarios y luego continúa con una exposición de la geometría de las curvas elípticas, el grupo formal de una curva elíptica, las curvas elípticas sobre campos finitos, los números complejos, los campos locales y los campos globales. También cubre puntos integrales y racionales. EAN: 9780387962030 Tipo: Libros Categoría: Otros Título: The Arithmetic of Elliptic Curves Autor: Joseph H. Silverman Editorial: Springer Verlag Idioma: en Páginas: 400 Formato: tapa dura. Seller Inventory # Happ-2024-11-18-1ec29328
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