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Algebra Groups Rings & Fields by Louis Rowen

Algebra Groups Rings & Fields

by Louis Rowen
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Book cover type: Paperback
  • ISBN13: 9780367449230
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Taylor & Francis
  • Publisher Imprint: A K PETERS
  • Publication Date:
  • Pages: 264
  • Original Price: GBP 82.99
  • Language: English
  • Edition: N/A
  • Item Weight: 453 grams
  • BISAC Subject(s): Algebra / General

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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