This text offers a clear, efficient exposition of Galois Theory with complete proofs and exercises. Topics include: cubic and quartic formulas Fundamental Theory of Galois Theory insolvability of the quintic Galois's Great Theorem (solvability by radicals of a polynomial is equivalent to solvability of its Galois Group) and computation of Galois groups of cubics and quartics. There are appendices on group theory, rulercompass constructions, and the early history of Galois Theory. This book provides a concise introduction to Galois Theory suitable for firstyear graduate students, either as a text for a course or for study outside the classroom.This new edition has been completely rewritten. Proofs are now clearer because more details are given and because the exposition has been reorganized (for example, the discussion of solvability by radicals now appears later in the book). The book now begins with a short section on symmetry groups of polygons in the plane, for there is an analogy between symmetry groups of polygons and Gaulois groups of polynomials. This analogy can serve as a guide to help readers organize the various field theoretic definitions and constructions. Several new theorems habe also been included for example, the Casus Irreducibilis.
About Joseph Rotman
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Author  :  Joseph Rotman 
Publisher  :  SpringerVerlag New York Inc. 
Data Published  :  01 September 2001 
ISBN  :  0387985417 
EAN  :  9780387985411 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  176 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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