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Joseph H. Silverman

The Arithmetic of Elliptic Curves

Buch

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 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, and elliptic curves over finite fields, the complex numbers, local fields, and global fields. Included are proofs of the Mordell-Weil theorem giving finite generati… Mehr

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Produktdetails


  • ISBN: 978-0-387-09493-9
  • EAN: 9780387094939
  • Produktnummer: 4522686
  • Verlag: Springer-Verlag GmbH
  • Sprache: Englisch
  • Erscheinungsjahr: 2009
  • Seitenangabe: 514 S.
  • Masse: H24.1 cm x B16.0 cm x D3.4 cm 963 g
  • Auflage: 2. Auflage
  • Abbildungen: 13 schwarz-weisse Abbildungen, 13 schwarz-weisse Zeichnungen, 2 schwarz-weisse Tabellen
  • Reihenbandnummer: 106
  • Gewicht: 963

Über den Autor


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.

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