{"product_id":"elliptic-curves-1","title":"Elliptic Curves","description":"\u003cp\u003eLike its bestselling predecessor, \u003cb\u003eElliptic Curves: Number Theory and Cryptography, Second Edition\u003c\/b\u003e develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and applications of elliptic curves.\u003c\/p\u003e\u003cp\u003e\u003cb\u003eNew to the Second Edition\u003c\/b\u003e \u003c\/p\u003e\u003cli\u003eChapters on isogenies and hyperelliptic curves\u003c\/li\u003e\u003cli\u003eA discussion of alternative coordinate systems, such as projective, Jacobian, and Edwards coordinates, along with related computational issues\u003c\/li\u003e\u003cli\u003eA more complete treatment of the Weil and Tate–Lichtenbaum pairings\u003c\/li\u003e\u003cli\u003eDoud’s analytic method for computing torsion on elliptic curves over Q\u003c\/li\u003e\u003cli\u003eAn explanation of how to perform calculations with elliptic curves in several popular computer algebra systems\u003c\/li\u003e\u003cp\u003eTaking a basic approach to elliptic curves, this accessible book prepares readers to tackle more advanced problems in the field. It introduces elliptic curves over finite fields early in the text, before moving on to interesting applications, such as cryptography, factoring, and primality testing. The book also discusses the use of elliptic curves in Fermat’s Last Theorem. Relevant abstract algebra material on group theory and fields can be found in the appendices.\u003c\/p\u003e","brand":"Taylor \u0026 Francis Ltd","offers":[{"title":"Default Title","offer_id":54239787811160,"sku":"9781420071467","price":248.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781420071467_34c24f1f-4178-4335-9576-87c4d24e75e4.jpg?v=1779338723","url":"https:\/\/agendabookshop.com\/products\/elliptic-curves-1","provider":"Agenda Bookshop","version":"1.0","type":"link"}