Galois Theory Of Algebraic Equations Second Edition is popular PDF and ePub book, written by Jean-pierre Tignol in 2015-12-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Galois Theory Of Algebraic Equations Second Edition can be Read Online from any device for your convenience.
Galois Theory Of Algebraic Equations Second Edition Book PDF Summary
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.
Detail Book of Galois Theory Of Algebraic Equations Second Edition PDF
- Author : Jean-pierre Tignol
- Release : 28 December 2015
- Publisher : World Scientific Publishing Company
- ISBN : 9789814704717
- Genre : Mathematics
- Total Page : 325 pages
- Language : English
- PDF File Size : 10,7 Mb
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