Algebra: Groups, Rings, and Fields (Textbooks in Mathematics) - Hardcover

Rowen, Louis

Hardcover

ISBN 10: 1568810288 ISBN 13: 9781568810287

Publisher: A K Peters/CRC Press, 1995

Synopsis

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

About this title

About the Author

Rowen \, Louis

Edition details

• Publisher: A K Peters/CRC Press
• Publication date: 1995
• Language: English
• ISBN 10: 1568810288
• ISBN 13: 9781568810287
• Binding: Hardcover
• Edition number: 1
• Number of pages: 264