Discrete Mathematics, 8th edition

  • Richard Johnsonbaugh

$9.99per month

6 monthly payments or pay $59.94 one-time

eTextbook

ISBN-13: 9780137848577 (2023 update)

Purchasing Instructions

This form contains two groups of radio buttons, one for Exam Pack purchasing options, and one for standard purchasing options. Only one option can be chosen for purchase. Any option that is selected will deselect any previously selected purchase option.

eTextbook + Study Prep

ISBN-13: 9780137848577 (2023 update)

  • Find it fast

    Quickly navigate your eTextbook with search

  • Stay organized

    Access all your eTextbooks in one place

  • Easily continue access

    Keep learning with auto-renew

Discrete Mathematics, 8th Edition is an accessible introduction that helps to develop your mathematical maturity. Ample opportunities to practice, apply and demonstrate conceptual understanding are provided. Exercise sets feature a large number of applications, especially to computer science. Worked examples provide ready reference as you work. The text models various problem-solving techniques in detail, then encourages you to practice these techniques; it also emphasizes how to read and write proofs. Many proofs are illustrated with annotated figures and/or motivated by special Discussion sections. URLs throughout direct you to relevant applications, extensions, and computer programs.

Published by Pearson (June 1st 2023) - Copyright © 2024

ISBN-13: 9780137848577

Subject: Advanced Math

Category: Discrete Math

1. Sets and Logic

  • 1.1 Sets
  • 1.2 Propositions
  • 1.3 Conditional Propositions and Logical Equivalence
  • 1.4 Arguments and Rules of Inference
  • 1.5 Quantifiers
  • 1.6 Nested Quantifiers
  • Problem-Solving Corner: Quantifiers

2. Proofs

  • 2.1 Mathematical Systems, Direct Proofs, and Counterexamples
  • 2.2 More Methods of Proof
  • Problem-Solving Corner: Proving Some Properties of Real Numbers
  • 2.3 Resolution Proofs
  • 2.4 Mathematical Induction
  • Problem-Solving Corner: Mathematical Induction
  • 2.5 Strong Form of Induction and the Well-Ordering Property

3. Functions, Sequences, and Relations

  • 3.1 Functions
  • Problem-Solving Corner: Functions
  • 3.2 Sequences and Strings
  • 3.3 Relations
  • 3.4 Equivalence Relations
  • Problem-Solving Corner: Equivalence Relations
  • 3.5 Matrices of Relations
  • 3.6 Relational Databases

4. Algorithms

  • 4.1 Introduction
  • 4.2 Examples of Algorithms
  • 4.3 Analysis of Algorithms
  • Problem-Solving Corner: Design and Analysis of an Algorithm
  • 4.4 Recursive Algorithms

5. Introduction to Number Theory

  • 5.1 Divisors
  • 5.2 Representations of Integers and Integer Algorithms
  • 5.3 The Euclidean Algorithm
  • Problem-Solving Corner: Making Postage
  • 5.4 The RSA Public-Key Cryptosystem

6. Counting Methods and the Pigeonhole Principle

  • 6.1 Basic Principles
  • Problem-Solving Corner: Counting
  • 6.2 Permutations and Combinations
  • Problem-Solving Corner: Combinations
  • 6.3 Generalized Permutations and Combinations
  • 6.4 Algorithms for Generating Permutations and Combinations
  • 6.5 Introduction to Discrete Probability
  • 6.6 Discrete Probability Theory
  • 6.7 Binomial Coefficients and Combinatorial Identities
  • 6.8 The Pigeonhole Principle

7. Recurrence Relations

  • 7.1 Introduction
  • 7.2 Solving Recurrence Relations
  • Problem-Solving Corner: Recurrence Relations
  • 7.3 Applications to the Analysis of Algorithms

8. Graph Theory

  • 8.1 Introduction
  • 8.2 Paths and Cycles
  • Problem-Solving Corner: Graphs
  • 8.3 Hamiltonian Cycles and the Traveling Salesperson Problem
  • 8.4 A Shortest-Path Algorithm
  • 8.5 Representations of Graphs
  • 8.6 Isomorphisms of Graphs
  • 8.7 Planar Graphs
  • 8.8 Instant Insanity

9. Trees

  • 9.1 Introduction
  • 9.2 Terminology and Characterizations of Trees
  • Problem-Solving Corner: Trees
  • 9.3 Spanning Trees
  • 9.4 Minimal Spanning Trees
  • 9.5 Binary Trees
  • 9.6 Tree Traversals
  • 9.7 Decision Trees and the Minimum Time for Sorting
  • 9.8 Isomorphisms of Trees
  • 9.9 Game Trees

10. Network Models

  • 10.1 Introduction
  • 10.2 A Maximal Flow Algorithm
  • 10.3 The Max Flow, Min Cut Theorem
  • 10.4 Matching
  • Problem-Solving Corner: Matching

11. Boolean Algebras and Combinatorial Circuits

  • 11.1 Combinatorial Circuits
  • 11.2 Properties of Combinatorial Circuits
  • 11.3 Boolean Algebras
  • Problem-Solving Corner: Boolean Algebras
  • 11.4 Boolean Functions and Synthesis of Circuits
  • 11.5 Applications

12. Automata, Grammars, and Languages

  • 12.1 Sequential Circuits and Finite-State Machines
  • 12.2 Finite-State Automata
  • 12.3 Languages and Grammars
  • 12.4 Nondeterministic Finite-State Automata
  • 12.5 Relationships Between Languages and Automata

13. Computational Geometry

  • 13.1 The Closest-Pair Problem
  • 13.2 An Algorithm to Compute the Convex Hull

Appendices

  • A. Matrices
  • B. Algebra Review
  • C. Pseudocode

References

Hints and Solutions to Selected Exercises

Index