Galois' theory of algebraic equations
By: Jean-Pierre Tignol
Publisher: World Scientific
Published: 2001
Place of publication: Singapore; River Edge, NJ
Language: eng
Number of pages: 333
ISBN-13: 9780585457734; 9789812384904
Subjects: Theory of Equations; Galois theory; Théorie des équations; Théorie de Galois; MATHEMATICS; Algebra; Intermediate; Galois-theorie; Algebraïsche vergelijkingen
Work titles: Leçons sur la théorie des équations
Description: Galois' Theory of Algebraic Equations 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 main emphasis is placed on equations of at least the third degree, i.e. on the developments during the period from the sixteenth to 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 alg.
Notes: Includes bibliographical references (pages 325-329) and index.
Table of contents: title: Preface; Chapter 1 Quadratic Equations; Chapter 2 Cubic Equations; Chapter 3 Quartic Equations; Chapter 4 The Creation of Polynomials; Chapter 5 A Modern Approach to Polynomials; Chapter 6 Alternative Methods for Cubic and Quartic Equations; Chapter 7 Roots of Unity; Chapter 8 Symmetric Functions; Chapter 9 The Fundamental Theorem of Algebra; Chapter 10 Lagrange; Chapter 11 Vandermonde; Chapter 12 Gauss on Cyclotomic Equations; Chapter 13 Ruffini and Abel on General Equations; Chapter 14 Galois; Chapter 15 Epilogue; Selected Solutions; Bibliography; Index.