The Arithmetic of Elliptic Curves PDF ePub eBook

Books Info:

The Arithmetic of Elliptic Curves free pdf The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. Following a brief discussion of the necessary algebro-geometric results, the book proceeds with an exposition of the geometry and the formal group of elliptic curves, elliptic curves over finite fields, the complex numbers, local fields, and global fields. Final chapters deal with integral and rational points, including Siegels theorem and explicit computations for the curve Y = X DX, while three appendices conclude the whole: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and an overview of more advanced topics.

About Joseph H. Silverman

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.

Details Book

Author : Joseph H. Silverman
Publisher : Springer-Verlag New York Inc.
Data Published : 29 May 2009
ISBN : 0387094938
EAN : 9780387094939
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 514 pages
Age + : 15 years
Language : English
Rating :

Reviews The Arithmetic of Elliptic Curves

17 Comments Add a comment

Related eBooks Download

  • An Algebr1000aic Approach to Geometry free pdfAn Algebr1000aic Approach to Geometry

    This is a unified treatment of the various algebraic approaches to geometric spaces. The study of algebraic curves in the complex projective plane is the natural link between linear geometry at an undergraduate level and algebraic geometry at a graduate level..

  • Differential Geometry of Curves and Surfaces free pdfDifferential Geometry of Curves and Surfaces

    Students and professors of an undergraduate course in differential geometry will appreciate the clear exposition and comprehensive exercises in this book that focuses on the geometric properties of curves and surfaces..

  • Modular Curves and Abelian Varieties free pdfModular Curves and Abelian Varieties

    It would be difficult to overestimate the influence and importance of modular forms. modular curves. and modular abelian varieties in the development of num- ber theory and arithmetic geometry during the last fifty years..

  • Elliptic Tales free pdfElliptic Tales

    Elliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics--the Birch and Swinnerton-Dyer Conjecture..

  • Advances in Elliptic Curve Cryptography free pdfAdvances in Elliptic Curve Cryptography

    Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics. particularly point counting. the progress has been spectacular..

  • The Arithmetic of Elliptic Curves free pdfThe Arithmetic of Elliptic Curves

    Free Ebooks Download ePub. The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic appr