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020			_a9780000990112
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082	0	0	_a512.623.3 _bTIG-G
100	1		_aTignol, Jean-Pierre
245	1	0	_aGalois' theory of algebraic equations
250			_a2nd ed.
260			_aNew Jersey : _bWorld Scientific, _c2021
300			_axvi, 308 pages ; _c24 cm
500			_aOriginally published in English in 1988 jointly by: Harlow, Essex, England : Longman Scientific & Technical; and, New York : Wiley.
504			_aIncludes bibliographical references (pages 299-304) and index.
520			_aThe 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.
521			_aUpper level undergraduates, graduate students and mathematicians in algebra.
650		0	_aEquations, Theory of.
650		0	_aGalois theory.
856			_3Table of contents _uhttps://www.worldscientific.com/doi/reader/10.1142/9789814704700_fmatter
856			_3Reviews _uhttps://www.goodreads.com/book/show/69530062-galois-theory-of-algebraic-equations-2nd-edition#CommunityReviews
942			_2udc _cBK
999			_c35390 _d35390