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Key Information
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| Authors: |
Stephan Foldes |
| Nonfiction Category: |
Mathematics |
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Book Editions
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Format: Hardcover, 344
Publisher: Wiley-Interscience (March 16, 1994)
Measurements: 9.75"(h) x 6.75"(w) x 1"(d), 1.6 lbs.
ISBN: 9780471571803 |
| More Information |
| Details: |
Structures are defined by laws of composition, rules of generation, and relations. The objects on which these laws operate may be numbers, geometric objects like points and lines, or abstract symbols. Algebra is the study of mathematical laws, with a search for general principles that do not depend on what the objects are. Fundamental Structures of Algebra and Discrete Mathematics is an introduction to the twelve basic kinds of structures - sets, ordered sets, groups, rings, fields, vector spaces, graphs, lattices, matroids, topological spaces, universal algebras, and categories - that underlie algebra and discrete mathematics. Beginning with the most basic type of structure, sets, this unique reference provides a detailed look at the theoretical underpinning of each structure, shedding light on the significance of each structure as well as their interrelation. Using a self-contained approach that requires little previous knowledge of mathematical definitions, results, or methods, the book examines selected |
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