The Arithmetic Of Elliptic Curves (Graduate Texts In Mathematics, 106),Used

The Arithmetic Of Elliptic Curves (Graduate Texts In Mathematics, 106),Used

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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 Algebrogeometric 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 Siegels Theorem And Explicit Computations For The Curve Y^2 = X^3 + Dx.

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Frequently Asked Questions

  • Q: What is the main topic covered in 'The Arithmetic of Elliptic Curves'? A: The book focuses on the arithmetic theory of elliptic curves, exploring its modern formulation through algebraic number theory and algebraic geometry.
  • Q: Who is the author of 'The Arithmetic of Elliptic Curves'? A: The author of the book is Joseph H. Silverman.
  • Q: What edition of 'The Arithmetic of Elliptic Curves' is available? A: This is the 2nd edition of 'The Arithmetic of Elliptic Curves', published on May 29, 2009.
  • Q: How many pages does 'The Arithmetic of Elliptic Curves' have? A: The book contains a total of 533 pages.
  • Q: What is the binding type of this book? A: The binding type of 'The Arithmetic of Elliptic Curves' is hardcover.
  • Q: What topics are included in the chapters of the book? A: The chapters cover algebro-geometric results, geometry of elliptic curves, formal groups, elliptic curves over finite fields, local and global fields, and integral and rational points.
  • Q: Is 'The Arithmetic of Elliptic Curves' suitable for beginners in mathematics? A: While the book provides foundational discussions, it is primarily aimed at readers with a background in algebraic number theory and geometry.
  • Q: What are elliptic curves used for in mathematics? A: Elliptic curves are used in various areas of mathematics including number theory, cryptography, and complex analysis.
  • Q: Are there any specific theorems discussed in the book? A: Yes, the book discusses Siegel’s theorem and provides explicit computations for the curve Y squared equals X cubed plus DX.
  • Q: What is the condition of the book when purchased? A: The book is available in new condition.