Discrete Mathematical Structures (Classic Version), 6th edition

  • Bernard Kolman, 
  • Robert Busby, 
  • Sharon C. Ross

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Overview

A modern classic

Discrete Mathematical Structures, 6th Edition offers a clear and concise presentation of the fundamental concepts of discrete mathematics. Ideal for a one-semester introductory course, this text contains more genuine computer science applications than any other text in the field. It is written at an appropriate level for a wide variety of majors and non-majors, and assumes a college algebra course as a prerequisite.

This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price.

Published by Pearson (July 14th 2021) - Copyright © 2009

ISBN-13: 9780137538782

Subject: Advanced Math

Category: Discrete Math

Overview

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
    • 11.1 Coding of Binary Information and Error Detection
    • 11.2 Decoding and Error Correction
    • 11.3 Public Key Cryptology

Appendix A: Algorithms and Pseudocode

Appendix B: Additional Experiments in Discrete Mathematics

Appendix C: Coding Exercises

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