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IRELAND, KENNETH &MICHAEL ROSEN - NA Classical Introduction to Modern Number Theory (Second Edition)

Springer, 1990.. Graduate Texts in Mathematics 84 XVI + 389 p., .,tables, formulas, xercises, bibliography, index. HARDCOVER: (Orig.hardcover. some pencil underlining. VERY GOOD / AS NEW ) ¶ This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebro-geometric results, and proceeds with an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, elliptic curves over finite fields, the complex numbers, local fields, and global fields. The last two chapters deal with integral and rational points, including Siegel's theorem and explicit computations for the curve Y^2 = X^3 + DX. The book contains three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving an overview of more advanced topics.
EUR 93.81 [Appr.: US$ 108.92 | £UK 80.25 | JP¥ 15818] Book number 23027

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