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About this product
Product Identifiers
PublisherCRC Press LLC
ISBN-101584883936
ISBN-139781584883937
eBay Product ID (ePID)2428211
Product Key Features
Number of Pages328 Pages
Publication NameGalois Theory
LanguageEnglish
Publication Year2003
SubjectGeneral, Number Theory, Algebra / General
TypeTextbook
AuthorIan Stewart
Subject AreaMathematics
FormatUk-B Format Paperback
Dimensions
Item Height0.7 in
Item Weight16.8 Oz
Item Length9.2 in
Item Width6.1 in
Additional Product Features
Edition Number3
Intended AudienceCollege Audience
LCCN2003-048995
Dewey Edition21
IllustratedYes
Dewey Decimal512.3
Edition DescriptionRevised edition,New Edition
Table Of ContentHistorical Introduction Classical Algebra The Fundamental Theorem of Algebra Factorization of Polynomials Field Extensions Simple Extensions The Degree of an Extension Ruler-and-Compass Constructions The Idea Behind Galois Theory Normality and Separability Counting Principles Field Automorphisms The Galois Correspondence A Worked Example Solubility and Simplicity Solution by Radicals Abstract Rings and Fields Abstract Field Extensions The General Polynomial Regular Polygons Finite Fields Circle Division Calculating Galois Groups Algebraically Closed Fields Transcendental Numbers References Index
SynopsisIan Stewart's Galois Theory has been in print for 30 years. Resoundingly popular, it still serves its purpose exceedingly well. Yet mathematics education has changed considerably since 1973, when theory took precedence over examples, and the time has come to bring this presentation in line with more modern approaches. To this end, the story now begins with polynomials over the complex numbers, and the central quest is to understand when such polynomials have solutions that can be expressed by radicals. Reorganization of the material places the concrete before the abstract, thus motivating the general theory, but the substance of the book remains the same.
Ian Stewart is one of the very best mathematical authors on the planet. If you're looking for a place to start a study of Galois Theory, you needn't look any further.