- 208 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Galois Theory and Its Algebraic Background
About this book
Galois Theory, the theory of polynomial equations and their solutions, is one of the most fascinating and beautiful subjects of pure mathematics. Using group theory and field theory, it provides a complete answer to the problem of the solubility of polynomial equations by radicals: that is, determining when and how a polynomial equation can be solved by repeatedly extracting roots using elementary algebraic operations. This textbook contains a fully detailed account of Galois Theory and the algebra that it needs and is suitable both for those following a course of lectures and the independent reader (who is assumed to have no previous knowledge of Galois Theory). The second edition has been significantly revised and re-ordered; the first part develops the basic algebra that is needed, and the second a comprehensive account of Galois Theory. There are applications to ruler-and- compass constructions, and to the solution of classical mathematical problems of ancient times. There are new exercises throughout, and carefully-selected examples will help the reader develop a clear understanding of the mathematical theory.
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Information
Table of contents
- Cover
- Half-title
- Title page
- Copyright information
- Contents
- Preface
- Part I The Algebraic Background
- Part II The Theory of Fields and Galois Theory
- Appendix: The Axiom of Choice
- Index
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Yes, you can access Galois Theory and Its Algebraic Background by D. J. H. Garling in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.