£46.99

Springer Fermat's Last Theorem - Algebraic Number Theory Book

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Description

Explore the historical and mathematical journey of one of the most famous problems in history. This Springer publication provides a genetic introduction to algebraic number theory by using Fermat's Last Theorem as a guiding framework. Instead of presenting abstract theories in isolation, this book follows the actual development of the problem, starting from the initial work of Fermat and moving through to Kummer's theory of ideal factorization. Readers will find a structured approach where new concepts and techniques are introduced only after they are motivated by specific mathematical problems. This method ensures that the learning process is grounded in practical application. The text covers elementary topics, such as Euler's proof regarding the impossibility of x^n + y^n = z^n, using accessible methods before moving into more advanced territory. By the end of the text, you will understand how the theorem is proved for all prime exponents less than 37, making it an essential resource for students and mathematicians interested in the evolution of number theory.

Key Features

Follows the historical development of Fermat's Last Theorem from its origins to modern solutions.

Provides a genetic introduction to algebraic number theory through specific mathematical problems.

Includes Euler's proof of the impossibility of x^n + y^n = z^n treated in an elementary way.

Covers Kummer's theory of ideal factorization to prove the theorem for prime exponents less than 37.

Introduces new mathematical concepts and techniques only after they are motivated by specific problems.

Part of the Graduate Texts in Mathematics series, volume 50, published by Springer.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
14 January 2000
Listed Since
15 February 2007

Barcode

No barcode data available

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