Mandatory Package: Discrete Mathematics and Its Applications / Edition 5

Mandatory Package: Discrete Mathematics and Its Applications / Edition 5

by Kenneth H. Rosen
     
 

ISBN-10: 0072930330

ISBN-13: 9780072930337

Pub. Date: 04/22/2003

Publisher: McGraw-Hill Companies, The

Discrete Mathematics and its Applications is a focused introduction to the primary themes in a discrete mathematics course, as introduced through extensive applications, expansive discussion, and detailed exercise sets. These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills

Overview

Discrete Mathematics and its Applications is a focused introduction to the primary themes in a discrete mathematics course, as introduced through extensive applications, expansive discussion, and detailed exercise sets. These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

Product Details

ISBN-13:
9780072930337
Publisher:
McGraw-Hill Companies, The
Publication date:
04/22/2003
Edition description:
Package
Pages:
896
Product dimensions:
8.30(w) x 10.30(h) x 1.40(d)
Age Range:
11 - 17 Years

Table of Contents

Discrete Mathematics and Its Applications, Fifth Edition1 The Foundations: Logic and Proof, Sets, and Functions 1.1 Logic 1.2 Propositional Equivalences 1.3 Predicates and Quantifiers 1.4 Nested Quantifiers 1.5 Methods of Proof 1.6 Sets 1.7 Set Operations 1.8 Functions 2 The Fundamentals: Algorithms, the Integers, and Matrices 2.1 Algorithms 2.2 The Growth of Functions 2.3 Complexity of Algorithms 2.4 The Integers and Division 2.5 Applications of Number Theory 2.6 Matrices 3 Mathematical Reasoning, Induction, and Recursion 3.1 Proof Strategy 3.2 Sequences and Summations 3.3 Mathematical Induction 3.4 Recursive Definitions and Structural Induction 3.5 Recursive Algorithms 3.6 Program Correctness 4 Counting 4.1 The Basics of Counting 4.2 The Pigeonhole Principle 4.3 Permutations and Combinations 4.4 Binomial Coefficients 4.5 Generalized Permutations and Combinations 4.6 Generating Permutations and Combinations 5 Discrete Probability (and more...)

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