عنوان

Algebraic number theory and Fermat's last theorem /

1498738400

1498738419

1498738427

9781498738408

9781498738415

9781498738422

9781498738392

Algebraic number theory and Fermat's last theorem /

[Book]

Ian Stewart, David Tall.

Fourth edition.

Boca Raton :

Chapman & Hall/CRC,

2015.

1 online resource :

illustrations (black and white)

Previous edition: Natrick: AK Peters, 2001.

Includes bibliographical references and index.

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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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.

Ingram Content Group

TANDF_426009

9781498738392

Algebraic number theory.

Fermat's last theorem.

Algebraic number theory.

Fermat's last theorem.

MATHEMATICS-- Combinatorics.

MAT-- 022000

MAT-- 036000

PBH

Stewart, Ian,1945-

Tall, David Orme

20200823035945.0

pn

[Book]

Y