Ebook: Galois Theory

Book Cover; Title; Copyright; Contents; Preface to the First Edition; Preface to the Second Edition; Preface to the Third Edition; Illustration Acknowledgments; Historical Introduction; Chapter 1 Classical Algebra; Chapter 2 The Fundamental Theorem of Algebra; Chapter 3 Factorization of Polynomials; Chapter 4 Field Extensions; Chapter 5 Simple Extensions; Chapter 6 The Degree of an Extension; Chapter 7 Ruler-and-Compass Constructions; Chapter 8 The Idea Behind Galois Theory; Chapter 9 Normality and Separability; Chapter 10 Counting Principles; Chapter 11 Field Automorphisms.;Ian Stewart's Galois Theory has been in print for 30 years. Resoundingly popular, it still serves its purpose very well, but mathematics education has changed considerably since 1973. The time has come to bring this presentation in line with more modern approaches. While preserving and extending the most popular features of the previous editions, the author has reorganized the material to place the concrete before the abstract. He has also added more technical history, incorporated several newer proofs, and revived some classical topics. There is simply no more engaging, no more accessible, no.