Articles liés à Algebraic Number Theory and Fermat's Last Theorem
Synopsis
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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À 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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Algebraic Number Theory and Fermat's Last Theorem (Hardcover)
Edité par
Taylor & Francis Ltd, 2024
ISBN 10 : 1032602252
ISBN 13 : 9781032602257
Neuf
Couverture rigide
Vendeur : Grand Eagle Retail, Bensenville, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Hardcover. Etat : new. Hardcover. 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 réf. du vendeur 9781032602257
Quantité disponible : 1 disponible(s)
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Algebraic Number Theory and Fermat's Last Theorem (Hardcover)
Edité par
Taylor & Francis Ltd, 2024
ISBN 10 : 1032602252
ISBN 13 : 9781032602257
Neuf
Couverture rigide
Vendeur : CitiRetail, Stevenage, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Hardcover. Etat : new. Hardcover. 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 our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9781032602257
Quantité disponible : 1 disponible(s)
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Algebraic Number Theory and Fermat's Last Theorem
Edité par
Chapman and Hall/CRC, 2024
ISBN 10 : 1032602252
ISBN 13 : 9781032602257
Neuf
Couverture rigide
Vendeur : Majestic Books, Hounslow, Royaume-Uni
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Algebraic Number Theory and Fermat's Last Theorem
Edité par
Chapman and Hall/CRC, 2024
ISBN 10 : 1032602252
ISBN 13 : 9781032602257
Neuf
Couverture rigide
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Etat : New. N° de réf. du vendeur 47847786-n
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Algebraic Number Theory and Fermat's Last Theorem
Edité par
Chapman and Hall/CRC, 2024
ISBN 10 : 1032602252
ISBN 13 : 9781032602257
Neuf
Couverture rigide
Vendeur : California Books, Miami, FL, Etats-Unis
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Etat : New. N° de réf. du vendeur I-9781032602257
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Algebraic Number Theory and Fermat's Last Theorem
Edité par
Chapman and Hall/CRC, 2024
ISBN 10 : 1032602252
ISBN 13 : 9781032602257
Neuf
Couverture rigide
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Algebraic Number Theory and Fermat's Last Theorem
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Algebraic Number Theory and Fermat's Last Theorem
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HRD. Etat : New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du vendeur L1-9781032602257
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Algebraic Number Theory and Fermat's Last Theorem
Edité par
Chapman and Hall/CRC, 2024
ISBN 10 : 1032602252
ISBN 13 : 9781032602257
Ancien ou d'occasion
Couverture rigide
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 47847786
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Algebraic Number Theory and Fermat's Last Theorem
Edité par
Chapman and Hall/CRC, 2024
ISBN 10 : 1032602252
ISBN 13 : 9781032602257
Neuf
Couverture rigide
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
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