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Algebra Groups Rings & Fields
Hardcover
Series: Textbooks in Mathematics
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ISBN10: 1568810288
ISBN13: 9781568810287
Publisher: A K Peters Ltd (Ma)
Published: Jan 10 1995
Pages: 264
Language: English
ISBN13: 9781568810287
Publisher: A K Peters Ltd (Ma)
Published: Jan 10 1995
Pages: 264
Language: English
This text presents the concepts of higher algebra in a comprehensive and modern way for self-study and as a basis for a high-level undergraduate course. The author is one of the preeminent researchers in this field and brings the reader up to the recent frontiers of research including never-before-published material. From the table of contents: - Groups: Monoids and Groups - CauchyÃs Theorem - Normal Subgroups - Classifying Groups - Finite Abelian Groups - Generators and Relations - When Is a Group a Group? (Cayley's Theorem) - Sylow Subgroups - Solvable Groups - Rings and Polynomials: An Introduction to Rings - The Structure Theory of Rings - The Field of Fractions - Polynomials and Euclidean Domains - Principal Ideal Domains - Famous Results from Number Theory - I Fields: Field Extensions - Finite Fields - The Galois Correspondence - Applications of the Galois Correspondence - Solving Equations by Radicals - Transcendental Numbers: e and p - Skew Field Theory - Each chapter includes a set of exercises
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