A Classical Introduction to Galois Theory
Monograph (May 2012)
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Algebra
Overview of attention for book
Table of Contents
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Altmetric BadgeBook Overview
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Altmetric BadgeChapter 1 Constructibility with Ruler and Compass
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Altmetric BadgeChapter 2 Algebraic Extensions
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Altmetric BadgeChapter 3 Simple Extensions
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Altmetric BadgeChapter 4 Fundamentals of Divisibility
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Altmetric BadgeChapter 5 Prime Factorization in Polynomial Rings. Gauss’s Theorem
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Altmetric BadgeChapter 6 Polynomial Splitting Fields
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Altmetric BadgeChapter 7 Separable Extensions
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Altmetric BadgeChapter 8 Galois Extensions
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Altmetric BadgeChapter 9 Finite Fields, Cyclic Groups and Roots of Unity
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Altmetric BadgeChapter 10 Group Actions
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Altmetric BadgeChapter 11 Applications of Galois Theory to Cyclotomic Fields
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Altmetric BadgeChapter 12 Further Steps into Galois Theory
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Altmetric BadgeChapter 13 Norm and Trace
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Altmetric BadgeChapter 14 Binomial Equations
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Altmetric BadgeChapter 15 Solvability of Equations
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Altmetric BadgeChapter 16 Integral Ring Extensions with Applications to Galois Theory
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Altmetric BadgeChapter 17 The Transcendence of π
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Altmetric BadgeChapter 18 Fundamentals of Transcendental Field Extensions
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Altmetric BadgeChapter 19 Hilbert’s Nullstellensatz