Discrete Mathematical Structures (Classic Version), 6th edition

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

Choose the option that's right for you

$9.99 / mo

4-month term, pay monthly or pay $39.96

Enjoy these features

  • Up to 2 devices
  • Exclusive offers

$14.99 / mo

4-month term, pay monthly or pay $59.96

Enjoy these features

  • Up to 2 devices
  • Exclusive offers

Learn more, spend less

  • Learn anytime, anywhere

    Get the app to access your eTextbook whenever you need it

  • Make it your own

    Your notes. Your highlights. Your eTextbook

  • Find it fast

    Quickly navigate your eTextbook with search

  • Stay organized

    Access all your eTextbooks in one place

  • Access all your eTextbooks in one place

    Keep learning with auto-renew


Discrete Mathematical Structures presents the fundamental concepts of discrete mathematics, while focusing on computer science applications. The authors treat relations and digraphs as two aspects of the same fundamental idea, which is then used as the basis of virtually all concepts in the text.

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

ISBN-13: 9780137538782

Subject: Advanced Math

Category: Discrete Math

Table of contents

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

Your questions answered

Choose from one eTextbook or over 1,500 eTextbooks and study tools, all in one place, for one low monthly subscription. A Single plan includes the use of 1 eTextbook title and study tools. A Multi plan gives you access to more than 1,500 eTextbook titles and study tools. Plus, with the app, put textbooks in your pocket and learn wherever.

Make the most of your study time with offline access, enhanced search, notes and flashcards — to get organized, get the work done quicker and get results.

A Pearson eTextbook is an easy-to-use digital version of the book. You can add notes and highlights, plus learn on the go with the Pearson+ mobile app. Listen on the go with the audiobook feature, available for most titles.

When you choose a plan, you're signing up for a 4-month 'term'. You can opt to make a one-time payment for the initial 4-month term or pay monthly. If you opt for monthly payments, we will charge your payment method each month until your 4-month term has ended. You can turn on auto-renew in My account at any time to continue your subscription before your 4-month term has ended.

When you purchase a Pearson+ subscription, it will last 4 months. Before your initial 4-month term ends, you can extend your subscription by turning auto-renew on in My account.

If you turn auto-renew on, we’ll automatically renew your subscription and charge you every month until you turn off auto-renew. If you made a one-time payment for your initial 4-month term, you’ll now pay monthly.

To avoid the next payment charge, make sure you turn auto renewal off 1 day before the auto renewal date. You can subscribe again after auto-renew has been turned off by purchasing another Pearson+ subscription. We use your credit card to renew your subscription automatically. To make sure your learning is uninterrupted, please check your card details before your first monthly payment.

With a Multi Pearson+ subscription plan, you can download up to 10 titles from your library on each of your authorized smartphone and tablet devices every month.

When you’re using your Multi Pearson+ subscription plan in a browser, you can select and read from as many titles as you like.