The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics Book 106) 2nd Edition by Joseph H. Silverman (PDF)

Description

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.

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Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Unless this is the book that had to be returned because of damage, it will be used by him for many years in his career.

⭐It’s a very good book, very well written. But, the bookbinding has not the quality that I’ve expected. It’s a book that one uses for STUDYNG no ornament… It’s hard to use the book open (duh), otherwise it starts to take off the cover of the book

⭐Excellent book

⭐The print is not very satisfactory but considering the price, it’s quite good. Would definitely recommend to buy.

⭐I appreciate.

⭐figures are of low quality. Seems like a photocopy.

⭐This is a classic book. But the diagrams in my copy of the are all pixilated. Don’t buy.

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