Fundamental Structures of Algebra and Discrete Mathematics by Stephan FoldesFundamental Structures of Algebra and Discrete Mathematics by Stephan Foldes

Fundamental Structures of Algebra and Discrete Mathematics

byStephan Foldes

Hardcover | March 16, 1994

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Introduces and clarifies the basic theories of 12 structural concepts, offering a fundamental theory of groups, rings and other algebraic structures. Identifies essentials and describes interrelationships between particular theories. Selected classical theorems and results relevant to current research are proved rigorously within the theory of each structure. Throughout the text the reader is frequently prompted to perform integrated exercises of verification and to explore examples.
Title:Fundamental Structures of Algebra and Discrete MathematicsFormat:HardcoverDimensions:344 pages, 9.53 × 6.5 × 1.18 inPublished:March 16, 1994Publisher:Wiley

The following ISBNs are associated with this title:

ISBN - 10:0471571806

ISBN - 13:9780471571803

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Table of Contents

Sets.

Ordered Sets.

Groups.

Rings.

Fields.

Vector Spaces.

Graphs.

Lattices.

Matroids.

Topological Spaces.

Universal Algebras.

Categories.

Indexes.

From Our Editors

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 key aspects of these structures, including closure system