Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory

Paperback | January 14, 2000

byHarold M. Edwards

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This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such as Eulers proof of the impossibilty of x+y=z, are treated in an uncomplicated way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the application of Kummers theory to quadratic integers and relates this to Gauss'theory of binary quadratic forms, an interesting and important connection that is not explored in any other book.

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From Our Editors

 As an introduction to algebraic number theory, Harold M. Edwards from New York University adapts Fermat’s Last Theorem and accepts the role as tour guide through the works of some of the early number theorists: Fermat, Euler, Gauss, Dirichlet, and Legendre. Fermat’s Last Theorem: A Genetic Introduction To Algebraic Number Theory is an...

From the Publisher

This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development, beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such as Eulers proof of the impossibilty of x+y=z, are treated in an uncomplicated way, ...

Format:PaperbackDimensions:422 pages, 9.25 × 6.1 × 0.27 inPublished:January 14, 2000Language:English

The following ISBNs are associated with this title:

ISBN - 10:0387950028

ISBN - 13:9780387950020

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Table of Contents

Fermat.- Euler.- From Euler to Kummer.- Kummer's theory of ideal factors.- Fermat's Last Theorem.- Determination of the class number.- Divisor's theory for quadratic equations.- Gauss's theory of binary quadratic forms.- Dirichlet's class number formula.

From Our Editors

 As an introduction to algebraic number theory, Harold M. Edwards from New York University adapts Fermat’s Last Theorem and accepts the role as tour guide through the works of some of the early number theorists: Fermat, Euler, Gauss, Dirichlet, and Legendre. Fermat’s Last Theorem: A Genetic Introduction To Algebraic Number Theory is an infinitely fascinating and enlightening overture to number theory. Comes with an excellent set of exercises for your interest and amusement.