Fundamental Structures of Algebra and Discrete Mathematics

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John Wiley & Sons, 16 mars 1994 - 344 pages
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.
 

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Table des matières

SETS
1
ORDERED SETS
31
RINGS
93
FIELDS
125
VECTOR SPACES
157
GRAPHS
197
LATTICES
213
MATROIDS
245
TOPOLOGICAL SPACES
269
UNIVERSAL ALGEBRAS
291
CATEGORIES
311
Product and sum
323
INDEX OF DEFINITIONS
327
INDEX OF NOTATION
339
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À propos de l'auteur (1994)

Stephan Foldes is the author of Fundamental Structures of Algebra and Discrete Mathematics, published by Wiley.

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