9789814704694-9814704695-Galois' Theory of Algebraic Equations: 2nd Edition

Galois' Theory of Algebraic Equations: 2nd Edition

ISBN-13: 9789814704694
ISBN-10: 9814704695
Edition: 2
Author: Tignol, Jean-Pierre
Publication date: 2015
Publisher: WSPC
Format: Hardcover 326 pages
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Book details

ISBN-13: 9789814704694
ISBN-10: 9814704695
Edition: 2
Author: Tignol, Jean-Pierre
Publication date: 2015
Publisher: WSPC
Format: Hardcover 326 pages

Summary

Acknowledged authors Tignol, Jean-Pierre wrote Galois' Theory of Algebraic Equations: 2nd Edition comprising 326 pages back in 2015. Textbook and eTextbook are published under ISBN 9814704695 and 9789814704694. Since then Galois' Theory of Algebraic Equations: 2nd Edition textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

The book gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel, and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the theory of algebraic equations has evolved and has led to such basic mathematical notions as "group" and "field".

A brief discussion of the fundamental theorems of modern Galois theory and complete proofs of the quoted results are provided, and the material is organized in such a way that the more technical details can be skipped by readers who are interested primarily in a broad survey of the theory.

In this second edition, the exposition has been improved throughout and the chapter on Galois has been entirely rewritten to better reflect Galois' highly innovative contributions. The text now follows more closely Galois' memoir, resorting as sparsely as possible to anachronistic modern notions such as field extensions. The emerging picture is a surprisingly elementary approach to the solvability of equations by radicals, and yet is unexpectedly close to some of the most recent methods of Galois theory.

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