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More About This Textbook


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.
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Product Details

  • ISBN-13: 9780072930337
  • Publisher: McGraw-Hill Companies, The
  • Publication date: 4/22/2003
  • Edition description: Package
  • Edition number: 5
  • Pages: 896
  • Product dimensions: 8.30 (w) x 10.30 (h) x 1.40 (d)

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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  • Anonymous

    Posted December 11, 2009

    This book is a head ache!

    This is the most confusing book I've ever read. Sure, discrete math is an in depth subject, but it doesn't have to be a head ache! The author over explains everything, to the point where he confuses the reader. His definition of everything, such as numbers and logic, boars the reader to death and forces too much ongoing attention to detail. A discrete mathematics book, such as this one, should break information up better by displaying more visual examples, simplifying its content and, shrinking down its explanations.

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  • Anonymous

    Posted August 5, 2004

    My favorite text book

    I feel that discrete math is a tough and ugly subject, but with diligence anyone can get an A in it. Rosen's book is the most understandable text for DM that I've ever come across, especially when complemented by the student solution guide. Any other supplements have just gone right back to the library.

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  • Anonymous

    Posted December 17, 2003

    The worst math book I have ever read

    This books is the main reason why people hate math and scared of it. Author does know the subject but I have a feeling he does not want you to know it too. Chapters are in very illogical order, proofs are unclear and explanations are very confusing. Too bad my college uses this book for Discrete Math class... the only interesting thing I found in that book are small articles about different mathematicians.

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