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Discrete Mathematical Structures (Classic Version), 6th edition

Published by Pearson (July 14, 2021) © 2009

  • Bernard Kolman Drexel University
  • Robert Busby
  • Sharon C. Ross
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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.

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

This fixed-layout publication may lack compatibility with assistive technologies. Images in the publication lack alternative text descriptions. The publication does not support text reflow. The publication contains no content hazards known to cause adverse physical reactions.

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