Updated to reflect current research and extended to cover more advanced topics as well as the basics, Algebraic Number Theory and Fermat’s Last Theorem, Fifth Edition 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, initially 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.

New to the Fifth Edition

Pell's Equation x^2-dy^2=1: all solutions can be obtained from a single `fundamental' solution, which can be found using continued fractions.
Galois theory of number field extensions, relating the field structure to that of the group of automorphisms.
More material on cyclotomic fields, and some results on cubic fields.
Advanced properties of prime ideals, including the valuation of a fractional ideal relative to a prime ideal, localisation at a prime ideal, and discrete valuation rings.
Ramification theory, which discusses how a prime ideal factorises when the number field is extended to a larger one.
A short proof of the Quadratic Reciprocity Law based on properties of cyclotomic fields. This
Valuations and p-adic numbers. Topology of the p-adic integers.

Written 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.

Informazioni sull?autore

Ian Stewart is an emeritus professor of mathematics at the University of Warwick and a fellow of the Royal Society. Dr. Stewart has been a recipient of many honours, including the Royal Society’s Faraday Medal, the IMA Gold Medal, the AAAS Public Understanding of Science and Technology Award, the LMS/IMA Zeeman Medal, and the University of Warwick Chancellor’s Medal. He has published more than 220 scientific papers and numerous books, including several bestsellers co-authored with Terry Pratchett and Jack Cohen that combine fantasy with nonfiction.

David Tall is an emeritus professor of mathematical thinking at the University of Warwick. Dr. Tall has published numerous mathematics textbooks and more than 200 papers on mathematics and mathematics education. His research interests include cognitive theory, algebra, visualization, mathematical thinking, and mathematics education.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Descrizione libreria

Australian Book seller. Weide varierty of fiction and non-fiction books

Visita la pagina della libreria

Informazioni sull?azienda del venditore

sadia zaki
21, harriet court, Salisbury Plain, SA, 5107, Australia

Condizioni di vendita e spedizione

Condizioni di vendita

Ships from Australia and USA

Diritto di recesso

Condizioni di spedizione

Shipping rates are for 1 KG book. For heavy items additional charges may be requested

Tariffe di spedizione da Australia a U.S.A.

Tariffe di spedizione da Australia a U.S.A.
Quantit� dell?ordine	Da 4 a 13 giorni lavorativi	Da 3 a 6 giorni lavorativi
Primo articolo	EUR 0.00	EUR 12.77

I tempi di consegna sono stabiliti dai venditori e variano in base al corriere e al paese. Gli ordini che devono attraversare una dogana possono subire ritardi e spetta agli acquirenti pagare eventuali tariffe o dazi associati. I venditori possono contattarti in merito ad addebiti aggiuntivi dovuti a eventuali maggiorazioni dei costi di spedizione dei tuoi articoli.