{"product_id":"the-arithmetic-of-elliptic-curves-graduate-texts-in-mathematics-9780387962030","title":"The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)","description":"\u003cp\u003eThe 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  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 Y2  X3  DX. The book contains three appendices: Elliptic Curves in Characteristics 2 and 3  Group Cohomology  and a third appendix giving an overview of more advanced topics.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":45280134463541,"sku":"ByrdShop_0387962034","price":154.32,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780387962030.jpg?v=1780622387","url":"https:\/\/atxbooks.com\/products\/the-arithmetic-of-elliptic-curves-graduate-texts-in-mathematics-9780387962030","provider":"ATX Books","version":"1.0","type":"link"}