Elliptic Curves :A Computational Approach ( De Gruyter Studies in Mathematics )

Publication subTitle :A Computational Approach

Publication series :De Gruyter Studies in Mathematics

Author: Susanne Schmitt   Horst G. Zimmer   Attila Pethö  

Publisher: De Gruyter‎

Publication year: 2003

E-ISBN: 9783110198010

P-ISBN(Paperback): 9783110168082

Subject: O187.1 algebraic curve, algebraic surface

Language: ENG

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Description

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.

The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.

The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.
While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies

Chapter

Contents

pp.:  1 – 7

Frontmatter

pp.:  1 – 1

Chapter 1. Elliptic curves

pp.:  7 – 11

Chapter 3. Elliptic curves over finite fields

pp.:  43 – 73

Chapter 4. Elliptic curves over local fields

pp.:  73 – 97

Chapter 5. The Mordell-Weil theorem and heights

pp.:  97 – 113

Chapter 6. Torsion group

pp.:  113 – 157

Chapter 7. The rank

pp.:  157 – 208

Chapter 8. Basis

pp.:  208 – 252

Chapter 9. S-integral points

pp.:  252 – 273

Appendix A. Algorithmic theory of diophantine equations

pp.:  273 – 304

Appendix B. Multiquadratic number fields

pp.:  304 – 326

Backmatter

pp.:  326 – 361

LastPages

pp.:  361 – 378

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