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portada Algebra Groups Rings & Fields
Type
Physical Book
Publisher
Year
1995
Language
English
Pages
264
Format
Hardcover
ISBN
1568810288
ISBN13
9781568810287
Categories

Algebra Groups Rings & Fields

Louis Rowen (Author) · A K PETERS · Hardcover

Algebra Groups Rings & Fields - Rowen, Louis

Physical Book

£ 78.29

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Synopsis "Algebra Groups Rings & Fields"

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 - Cauchyís 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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