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Discrete Mathematical Structures

Discrete Mathematical Structures - 6th edition

ISBN13: 978-0132297516

Cover of Discrete Mathematical Structures 6TH 09 (ISBN 978-0132297516)
ISBN13: 978-0132297516
ISBN10: 0132297515
Cover type: Hardback
Edition/Copyright: 6TH 09
Publisher: Prentice Hall, Inc.
Published: 2009
International: No
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Discrete Mathematical Structures - 6TH 09 edition

ISBN13: 978-0132297516

Bernard Kolman

ISBN13: 978-0132297516
ISBN10: 0132297515
Cover type: Hardback
Edition/Copyright: 6TH 09
Publisher: Prentice Hall, Inc.

Published: 2009
International: No
Summary

Key Message: Discrete Mathematical Structures Sixth Edition offers a clear and concise presentation of the fundamental concepts of discrete mathematics. This introductory book contains more genuine computer science applications than any other text in the field and will be especially helpful for readers interested in computer science. This book is written at an appropriate level for a wide variety of readers and assumes a college algebra course as the only prerequisite. Key Topics: Fundamentals; Logic; Counting; Relations and Digraphs; Functions; Order Relations and Structures; Trees; Topics in Graph Theory; Semigroups and Groups; Languages and Finite-State Machines; Groups and Coding Market: For all readers interested in discrete mathematics.

Table of Contents

1. Fundamentals 1.1 Sets and Subsets 1.2 Operations on Sets 1.3 Sequences 1.4 Properties of Integers 1.5 Matrices 1.6 Mathematical Structures

2. Logic 2.1 Propositions and Logical Operations 2.2 Conditional Statements 2.3 Methods of Proof 2.4 Mathematical Induction 2.5 Mathematical Statements 2.6 Logic and Problem Solving

3. Counting 3.1 Permutations 3.2 Combinations 3.3 Pigeonhole Principle 3.4 Elements of Probability 3.5 Recurrence Relations 112

4. Relations and Digraphs 4.1 Product Sets and Partitions 4.2 Relations and Digraphs 4.3 Paths in Relations and Digraphs 4.4 Properties of Relations 4.5 Equivalence Relations 4.6 Data Structures for Relations and Digraphs 4.7 Operations on Relations 4.8 Transitive Closure and Warshall's Algorithm

5. Functions 5.1 Functions 5.2 Functions for Computer Science 5.3 Growth of Functions 5.4 Permutation Functions

6. Order Relations and Structures 6.1 Partially Ordered Sets 6.2 Extremal Elements of Partially Ordered Sets 6.3 Lattices 6.4 Finite Boolean Algebras 6.5 Functions on Boolean Algebras 6.6 Circuit Design 7. Trees 7.1 Trees 7.2 Labeled Trees 7.3 Tree Searching 7.4 Undirected Trees 7.5 Minimal Spanning Trees

8. Topics in Graph Theory 8.1 Graphs 8.2 Euler Paths and Circuits 8.3 Hamiltonian Paths and Circuits 8.4 Transport Networks 8.5 Matching Problems 8.6 Coloring Graphs

9. Semigroups and Groups 9.1 Binary Operations Revisited 9.2 Semigroups 9.3 Products and Quotients of Semigroups 9.4 Groups 9.5 Products and Quotients of Groups 9.6 Other Mathematical Structures

10. Languages and Finite-State Machines 10.1 Languages 10.2 Representations of Special Grammars and Languages 10.3 Finite-State Machines 10.4 Monoids Machines and Languages 10.5 Machines and Regular Languages 10.6 Simplification of Machines 11. Groups and Coding

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