Discrete and Combinatorial Mathematics (Classic Version), 5th edition

Published by Pearson (March 31, 2017) © 2018

  • Ralph P. Grimaldi Rose-Hulman Institute of Technology

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A modern classic

Discrete and Combinatorial Mathematics continues to improve on the features that have made it the market leader. It offers a flexible organization, enabling instructors to adapt the book to their particular courses. The book is both complete and careful, and it continues to maintain its emphasis on algorithms and applications. Excellent exercise sets allow students to perfect skills as they practice. The 5th Edition continues to feature numerous computer science applications, making it ideal for preparing students for advanced study.

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

Hallmark features of this title

  • An enhanced mathematical approach includes carefully thought out examples, including many examples with computer sciences applications.
  • Historical reviews and biographies bring a human element to their assignments.
  • Chapter summaries allow students to review what they have learned.
  • Expanded treatment of discrete probability in Chapter 3.

New and updated features of this title

  • New material on cryptology, private-key cryptosystems in Chapter 14; public-key RSA cryptosystems in Chapter 16.
  • New author web site.

PART 1. FUNDAMENTALS OF DISCRETE MATHEMATICS.

1. Fundamental Principles of Counting.

The Rules of Sum and Product.

Permutations.

Combinations: The Binomial Theorem.

Combinations with Repetition.

The Catalan Numbers (Optional).

Summary and Historical Review.

2. Fundamentals of Logic.

Basic Connectives and Truth Tables.

Logical Equivalence: The Laws of Logic.

Logical Implication: Rules of Inference.

The Use of Quantifiers.

Quantifiers, Definitions, and the Proofs of Theorems.

Summary and Historical Review.

3. Set Theory.

Sets and Subsets.

Set Operations and the Laws of Set Theory.

Counting and Venn Diagrams.

A First Word on Probability.

The Axioms of Probability (Optional).

Conditional Probability: Independence (Optional).

Discrete Random Variables (Optional).


















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