Algebraic Number Theory and Fermat's Last Theorem - Couverture souple

Stewart, Ian; Tall, David

9781032610931: Algebraic Number Theory and Fermat's Last Theorem

Couverture souple

ISBN 10 : 103261093X ISBN 13 : 9781032610931

Editeur : Chapman and Hall/CRC, 2024

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Updated to reflect current research and extended to cover more advanced topics as well as the basics, this book 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.

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� propos de l?auteur

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.

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�diteur: Chapman and Hall/CRC
Date d'�dition: 2024
Langue: anglais
ISBN 10: 103261093X
ISBN 13: 9781032610931
Reliure: Broch�
Num�ro d'�dition: 5
Nombre de pages: 504
Coordonn�es du fabricant: non disponible
Personne responsable: non disponible

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ISBN 10 : 1032602252 ISBN 13 : 9781032602257
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Algebraic Number Theory and Fermat's Last Theorem (Paperback)

Ian Stewart

Edit� par Taylor & Francis Ltd, 2024

ISBN 10 : 103261093X ISBN 13 : 9781032610931

Neuf Paperback

Vendeur : Grand Eagle Retail, Bensenville, IL, Etats-Unis

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Paperback. Etat : new. Paperback. Updated to reflect current research and extended to cover more advanced topics as well as the basics, Algebraic Number Theory and Fermats Last Theorem, Fifth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematicsthe quest for a proof of Fermats 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 Wiless proof of Fermats Last Theorem opened many new areas for future work. New to the Fifth EditionPell'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. ThisValuations 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. Updated to reflect current research and extended to cover more advanced topics as well as the basics, this book introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematicsthe quest for a proof of Fermats Last Theorem. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N� de r�f. du vendeur 9781032610931

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ALGEBRAIC NUMBER THEORY AND FERMATS LAST THEOREM 5ED (PB 2025)

Stewart, Ian; Tall, David

Edit� par Chapman and Hall/CRC, 2024

ISBN 10 : 103261093X ISBN 13 : 9781032610931

Neuf Couverture souple

Vendeur : Romtrade Corp., STERLING HEIGHTS, MI, Etats-Unis

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Etat : New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. N� de r�f. du vendeur ABNR-290876

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ALGEBRAIC NUMBER THEORY AND FERMATS LAST THEOREM 5ED (PB 2025)

STEWART I.

Edit� par Chapman and Hall/CRC, 2024

ISBN 10 : 103261093X ISBN 13 : 9781032610931

Neuf Couverture souple

Vendeur : Basi6 International, Irving, TX, Etats-Unis

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Etat : Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. N� de r�f. du vendeur ABEOCT25-271098

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