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" Algebraic number theory and Fermat's last theorem / "
Ian Stewart, David Tall.
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BL
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| Record Number
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852020
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| Main Entry
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Stewart, Ian,1945-
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| Title & Author
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Algebraic number theory and Fermat's last theorem /\ Ian Stewart, David Tall.
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| Edition Statement
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Fourth edition.
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| Publication Statement
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Boca Raton :: Chapman & Hall/CRC,, 2015.
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| Page. NO
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1 online resource :: illustrations (black and white)
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| ISBN
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1498738400
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: 1498738419
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: 1498738427
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: 9781498738408
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: 9781498738415
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: 9781498738422
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9781498738392
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| Notes
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Previous edition: Natrick: AK Peters, 2001.
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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In Cyclotomic Fields Geometric Methods ; Lattices; Lattices; The Quotient Torus Minkowski's Theorem ; Minkowski's Theorem; The Two-Squares Theorem; The Four-Squares Theorem Geometric Representation of Algebraic Numbers; The Space 1st Class-Group and Class-Number; The Class-Group; An Existence Theorem; Finiteness of the Class-Group; How to Make an Ideal Principal; Unique Factorization of Elements in an Extension Ring Number-Theoretic Applications ; Computational Methods; Factorization of a Rational Prime; Minkowski Constants; Some Class-Number Calculations; Table of Class-Numbers Kummer's Special Case of Fermat's Last Theorem ; Some History; Elementary Considerations; Kummer's Lemma; Kummer's Theorem; Regular Primes The Path to the Final Breakthrough.
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| Abstract
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Updated to reflect current research, Algebraic Number Theory and Fermat's Last Theorem, Fourth 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 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.
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| Subject
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Algebraic number theory.
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Fermat's last theorem.
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Algebraic number theory.
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Fermat's last theorem.
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MATHEMATICS-- Combinatorics.
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| Dewey Classification
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512.74
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| LC Classification
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QA247.S76 2016
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| Added Entry
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Tall, David Orme
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