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Discrete Mathematical Structures - With Bush : Discrete Mathematics Workbook

Discrete Mathematical Structures - With Bush : Discrete Mathematics Workbook - 5th edition

ISBN13: 978-0131241138

Cover of Discrete Mathematical Structures - With Bush : Discrete Mathematics Workbook 5TH 04 (ISBN 978-0131241138)
ISBN13: 978-0131241138
ISBN10: 0131241133
Cover type: Hardback
Edition/Copyright: 5TH 04
Publisher: Prentice Hall, Inc.
Published: 2004
International: No

List price: $130.75

Discrete Mathematical Structures - With Bush : Discrete Mathematics Workbook - 5TH 04 edition

ISBN13: 978-0131241138

Bernard Kolman, Robert Busby and Sharon Ross

ISBN13: 978-0131241138
ISBN10: 0131241133
Cover type: Hardback
Edition/Copyright: 5TH 04
Publisher: Prentice Hall, Inc.

Published: 2004
International: No
Summary

This value-added package contains:
Discrete Mathematical Structures,
Discrete Mathematics Workbook of Interactive Exercises.
A savings of $30!

Table of Contents

1. Fundamentals.

Sets and Subsets.
Operations on Sets.
Sequences.
Properties of Integers.
Matrices.
Mathematical Structures.

2. Logic.

Propositions and Logical Operations.
Conditional Statements.
Methods of Proof.
Mathematical Induction.

3. Counting.

Permutations.
Combinations.
Pigeonhole Principle.
Elements of Probability.
Recurrence Relations.

4. Relations and Digraphs.

Product Sets and Partitions.
Relations and Digraphs.
Paths in Relations and Digraphs.
Properties of Relations.
Equivalence Relations.
Computer Representation of Relations and Digraphs.
Operations on Relations.
Transitive Closure and Warshall's Algorithm.

5. Functions.

Functions.
Functions for Computer Science.
Growth of Functions.
Permutation Functions.

6. Order Relations and Structures.

Partially Ordered Sets.
Extremal Elements of Partially Ordered Sets.
Lattices.
Finite Boolean Algebras.
Functions on Boolean Algebras.
Circuit Design.

7. Trees.

Trees.
Labeled Trees.
Tree Searching.
Undirected Trees.
Minimal Spanning Trees.

8. Topics in Graph Theory.

Graphs.
Euler Paths and Circuits.
Hamiltonian Paths and Circuits.
Transport Networks.
Matching Problems.
Coloring Graphs.

9. Semigroups and Groups.

Binary Operations, Revisited.
Semigroups.
Products and Quotients of Semigroups.
Groups.
Products and Quotients of Groups.

10. Languages and Finite-State Machines.

Languages.
Representations of Special Grammars and Languages.
Finite-State Machines.
Semigroups, Machines, and Languages.
Machines and Regular Languages.
Simplification of Machines.

11. Groups and Coding.

Coding of Binary Information and Error Detection.
Decoding and Error Correction.
Public Key Cryptology.

Appendix A: Algorithms and Pseudocode.
Appendix B: Additional Experiments in Discrete Mathematics.
Answers to Odd-Numbered Exercises.
Answers to Chapter Tests.
Index.

List price: $130.75
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