Foundations of discrete mathematics

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Last edited by Drini
September 15, 2025 | History

Foundations of discrete mathematics

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Publish Date
Language
/languages/eng
Pages
748

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Edition Availability
Cover of: Foundations Of Discrete Mathematics
Foundations Of Discrete Mathematics
1989, John Wiley & Sons
in /languages/hin
Cover of: Foundations of discrete mathematics
Foundations of discrete mathematics
1989, Wiley, Wiley Eastern Ltd.
in /languages/eng

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Book Details


Table of Contents

List of Standard Symbols
Page v
Suggested Course Coverage
Page vi
Preface
Page vii
1. Introduction and Preliminaries
Page 1
1.1. What Is Discrete Mathematics?
Page 1
1.2. Typical Problems
Page 12
1.3. Comments About Typical Problems
Page 22
1.4. Review of Logic
Page 36
2. Elementary Counting Techniques
Page 53
2.1. Sets and Functions
Page 53
2.2. Cardinalities of Sets
Page 71
2.3. Applications to Counting Problems
Page 92
2.4. Principle of Inclusion and Exclusion
Page 112
3. Sets with Additional Structures
Page 129
3.1. Abstraction and Mathematical Structures
Page 129
3.2. Binary Relations on Sets
Page 152
3.3. Order Relations
Page 174
3.4. Algebraic Structures
Page 198
4. Boolean Algebras
Page 221
4.1. Definition and Properties
Page 221
4.2. Boolean Functions
Page 241
4.3. Applications to Switching Networks
Page 261
4.4. Applications to Logic
Page 284
5. Group Theory
Page 300
5.1. Groups and Subgroups
Page 300
5.2. Cosets of Subgroups
Page 322
5.3. Group Homomorphisms
Page 341
5.4. Permutation Groups
Page 369
6. Rings, Fields and Vector Spaces
Page 385
6.1. Basic Concepts and Examples
Page 385
6.2. Special Types of Integral Domains
Page 408
6.3. Vector Spaces
Page 434
6.4. Matrices and Determinants
Page 460
7. Advanced Counting Techniques
Page 504
7.1. Generating Functions of Sequences
Page 506
7.2. Application to Enumeration Problems
Page 531
7.3. Recurrence Relations
Page 558
7.4. Applications of Recurrence Relations
Page 591
Epilogue: Preview of 'Applied Discrete Structures'
Page 616
References
Page 623
Answers to Exercises
Page 629
Index
Page 735

Edition Notes

Includes index.

Published in
New York, New Delhi, India

Classifications

Dewey Decimal Class
510
Library of Congress
QA39.2 .J67 1989, QA39.2.J67 1989

The Physical Object

Pagination
xvi, 748 p. :
Number of pages
748

Edition Identifiers

Open Library
OL2038427M
ISBN 10
0470211520
LCCN
88014811
LibraryThing
8747399
Goodreads
2582139

Work Identifiers

Work ID
OL4626143W

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
September 15, 2025 Edited by Drini Add TOC from Tocky
October 18, 2022 Edited by ImportBot import existing book
November 8, 2020 Edited by MARC Bot import existing book
June 26, 2020 Edited by ImportBot import existing book
April 1, 2008 Created by an anonymous user initial import