Discrete Mathematics and Its Applications

Discrete Mathematics and Its Applications

by Kenneth H. Rosen
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Pub. Date:
McGraw-Hill Companies, The
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Discrete Mathematics and Its Applications

This text is designed for the sophomore/junior level introduction to discrete mathematics taken by students preparing for future coursework in areas such as math,computer science and engineering. Rosen has become a bestseller largely due to how effectively it addresses the main portion of the discrete market,which is typically characterized as the mid to upper level in rigor. The strength of Rosen's approach has been the effective balance of theory with relevant applications,as well as the overall comprehensive nature of the topic coverage.

Product Details

ISBN-13: 9780071244749
Publisher: McGraw-Hill Companies, The
Publication date: 03/28/2008

Table of Contents


To the Student

1 The Foundations: Logic, Sets, and Functions

1.1 Logic

1.2 Propositional Equivalences

1.3 Predicates and Quantifiers

1.4 Sets

1.5 Set Operations

1.6 Functions

1.7 Sequences and Summations

1.8 The Growth Functions

2 The Fundamentals: Algorithms, the Integers, and Matrices

2.1 Algorithms

2.2 Complexity of Algorithms

2.3 The Integers and Division

2.4 Integers and Algorithms

2.5 Applications of Number Theory

2.6 Matrice

3 Mathematical Reasoning

3.1 Methods of Proof

3.2 Mathematical Induction

3.3 Recursive Definitions

3.4 Recursive Algorithms

3.5 Program Correctness

4 Counting

4.1 The Basics of Counting

4.2 The Pigeonhole Principle

4.3 Permutations and Combinations

4.4 Discrete Probability

4.5 Probability Theory

4.6 Generalized Permutations and Combinations

4.7 Generating Permutations and Combinations

5 Advanced Counting Techniques

5.1 Recurrence Relations

5.2 Solving Recurrence Relations

5.3 Divide-and-Conquer Relations

5.4 Generating Functions

(and more...)

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Discrete Mathematics and Its Applications 3 out of 5 based on 0 ratings. 2 reviews.
Kondrath More than 1 year ago
This book was required for my Discrete Mathematics course. Unfortunately the way the material is presented is difficult to understand. I found myself looking for other resources to help me on topics I was stuck on. While I don't doubt the author's expertise, I had a hard time interpreting methods in which to solve problems in the chapter reviews, as if there was a piece of the puzzle always missing.
Anonymous More than 1 year ago