000			01936nam a22002177a 4500
005			20250218125806.0
008			250218b ||||| |||| 00| 0 eng d
020			_a9780000990112
040			_cAL
041			_aeng
082			_223 _a512.3 _bTIGG
100			_aJean Pierre Tignol _9200698
245			_aGalois theory of algebraic equations
250			_a2nd ed.
260			_aNew Jersey _bWorld Scientific Publications _c2021
300			_axvi,308p. _bPB _c23x15.3cm.
365			_2General _a6388 _b₹1036.00 _c₹ _d₹1295.00 _e20% _f06-02-2025
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.
650			_2Algebra _aFields _9200699
942			_2ddc _cBK
999			_c233831 _d233831