{"product_id":"algebraic-number-theory-and-fermats-last-theorem-9780367658717","title":"Algebraic Number Theory and Fermat's Last Theorem","description":"\u003cp\u003e • Author(s): Ian Stewart\u003cbr\u003e • Publisher: Taylor \u0026amp; Francis\u003cbr\u003e • Publisher Imprint: CRC Press\u003cbr\u003e • BISAC: Number Theory\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eUpdated to reflect current research, \u003cstrong\u003eAlgebraic Number Theory and Fermat's Last Theorem, Fourth Edition\u003c\/strong\u003e introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics--the quest for a proof of Fermat's Last Theorem. The authors use this celebrated theorem to motivate a general study of the theory of algebraic numbers from a relatively concrete point of view. Students will see how Wiles's proof of Fermat's Last Theorem opened many new areas for future work.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eNew to the Fourth Edition\u003c\/strong\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cul\u003e \u003cp\u003e\u003c\/p\u003e\n\u003cli\u003eProvides up-to-date information on unique prime factorization for real quadratic number fields, especially Harper's proof that Z(√14) is Euclidean\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e\n\u003cli\u003ePresents an important new result: Mihăilescu's proof of the Catalan conjecture of 1844\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e\n\u003cli\u003eRevises and expands one chapter into two, covering classical ideas about modular functions and highlighting the new ideas of Frey, Wiles, and others that led to the long-sought proof of Fermat's Last Theorem\u003c\/li\u003e \u003cp\u003e\u003c\/p\u003e\n\u003cli\u003eImproves and updates the index, figures, bibliography, further reading list, and historical remarks\u003c\/li\u003e \u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eWritten by preeminent mathematicians Ian Stewart and David Tall, this text continues to teach students how to extend properties of natural numbers to more general number structures, including algebraic number fields and their rings of algebraic integers. It also explains how basic notions from the theory of algebraic numbers can be used to solve problems in number theory. \u003c\/p\u003e","brand":"Taylor \u0026 Francis","offers":[{"title":"Paperback","offer_id":45240575131799,"sku":"9780367658717","price":5254.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780367658717.webp?v=1769226009","url":"https:\/\/atlanticbooks.com\/products\/algebraic-number-theory-and-fermats-last-theorem-9780367658717","provider":"Atlantic Books","version":"1.0","type":"link"}