{"product_id":"algebraic-number-theory-1","title":"Algebraic Number Theory","description":"\u003cp\u003eBringing the material up to date to reflect modern applications, \u003cstrong\u003eAlgebraic Number Theory, Second Edition\u003c\/strong\u003e has been completely rewritten and reorganized to incorporate a new style, methodology, and presentation. This edition focuses on integral domains, ideals, and unique factorization in the first chapter; field extensions in the second chapter; and class groups in the third chapter. Applications are now collected in chapter four and at the end of chapter five, where primality testing is highlighted as an application of the Kronecker–Weber theorem. In chapter five, the sections on ideal decomposition in number fields have been more evenly distributed. The final chapter continues to cover reciprocity laws.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eNew to the Second Edition\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e \u003c\/p\u003e \u003c\/li\u003e\n\u003cli\u003eReorganization of all chapters\u003c\/li\u003e\n\u003cli\u003eMore complete and involved treatment of Galois theory\u003c\/li\u003e\n\u003cli\u003eA study of binary quadratic forms and a comparison of the ideal and form class groups\u003c\/li\u003e\n\u003cli\u003eMore comprehensive section on Pollard’s cubic factoring algorithm\u003c\/li\u003e\n\u003cli\u003eMore detailed explanations of proofs, with less reliance on exercises, to provide a sound understanding of challenging material\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eThe book includes mini-biographies of notable mathematicians, convenient cross-referencing, a comprehensive index, and numerous exercises. The appendices present an overview of all the concepts used in the main text, an overview of sequences and series, the Greek alphabet with English transliteration, and a table of Latin phrases and their English equivalents.\u003c\/p\u003e\u003cp\u003eSuitable for a one-semester course, this accessible, self-contained text offers broad, in-depth coverage of numerous applications. Readers are lead at a measured pace through the topics to enable a clear understanding of the pinnacles of algebraic number theory. \u003c\/p\u003e","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":54240575881560,"sku":"9781439845981","price":248.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9781439845981_6f32f641-a130-4d3a-bc0d-7ca59c7e1b5a.jpg?v=1779338748","url":"https:\/\/agendabookshop.com\/products\/algebraic-number-theory-1","provider":"Agenda Bookshop","version":"1.0","type":"link"}