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Galois Theory, Third Edition - Ian Stewart

Galois Theory, Third Edition

(Autor)

Buch | Softcover
328 Seiten
2003 | 3rd New edition
Chapman & Hall/CRC (Verlag)
978-1-58488-393-7 (ISBN)
CHF 83,75 inkl. MwSt
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An introduction to the intriguing concepts of abstract algebra and Galois Theory.
Ian 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.

Historical 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

Erscheint lt. Verlag 28.7.2003
Zusatzinfo 13 Halftones, black and white; 40 Illustrations, black and white
Sprache englisch
Maße 156 x 234 mm
Gewicht 476 g
Themenwelt Mathematik / Informatik Mathematik
Sozialwissenschaften Pädagogik
ISBN-10 1-58488-393-6 / 1584883936
ISBN-13 978-1-58488-393-7 / 9781584883937
Zustand Neuware
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