2001 Discrete Mathematics Fourth Edition Addison Wesley

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Condition
Acceptable
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ISBN
9780321079121
Category

About this product

Product Identifiers

Publisher
Addison-Wesley Longman, Incorporated
ISBN-10
0321079124
ISBN-13
9780321079121
eBay Product ID (ePID)
1937902

Product Key Features

Number of Pages
600 Pages
Language
English
Publication Name
Discrete Mathematics
Publication Year
2001
Subject
Discrete Mathematics
Type
Textbook
Author
Charles Vanden Eynden, Albert D. Otto, John A. Dossey, Lawrence E. Spence
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
1.1 in
Item Weight
39.2 Oz
Item Length
9.5 in
Item Width
7.6 in

Additional Product Features

Edition Number
4
Intended Audience
College Audience
LCCN
2005-045880
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
511/.1
Table Of Content
(Each Chapter, excluding Chapter 7, concludes with "Historical Notes," "Supplement Exercises," "Computer Projects," and "Suggested Readings."). 1. An Introduction to Combinatorial Problems and Techniques. The Time to Complete a Project.A Matching Problem.A Knapsack Problem.Algorithms and Their Efficiency. 2. Sets, Relations, and Functions. Set Operations.Equivalence Relations.Congruence.Partial Ordering Relations.Functions.Mathematical Induction.Applications. 3. Graphs. Graphs and Their Representations.Paths and Circuits.Shortest Paths and Distance.Coloring a Graph.Directed Graphs and Multi Graphs. 4. Trees. Properties of Trees.Spanning Trees.Depth-First Search.Rooted Trees.Binary Trees and Traversals.Optimal Binary Trees and Binary Search Trees. 5. Matching. Systems of Distinct Representatives.Matching in Graphs.A Matching Algorithm.Applications of the Algorithm.The Hungarian Method. 6. Network Flows. Flows and Cuts.A Flow Augmentation Algorithm.The Max-Flow Min-Cut Theorem.Flows and Matchings. 7. Counting Techniques. Pascal's Triangle and the Binomial Theorem.Three Fundamental Principles.Permutations and Combinations.Arrangements and Selections with Repetitions.Probability.*The Principle of Inclusion-Exclusion.*Generating Permutations and r-Combinations. 8. Recurrence Relations and Generating Functions. Recurrence Relations.The Method of Iteration.Linear Difference Equations with Constant Coefficients.*Analyzing the Efficiency of Algorithms with Recurrence Relations.Counting with Generating Functions.The Algebra of Generating Functions. 9. Combinatorial Circuits and Finite State Machines. Logical Gates.Creating Combinatorial Circuits.Karnaugh Maps.Finite State Machines. Appendix A: An Introduction to Logic and Proof. Statements and Connectives.Logical Equivalence.Methods of Proof. Appendix B: Matrices. Appendix C: The Algorithms in this Book. Bibliography. Answers to Odd-Numbered Exercises. Index. *Optional Sections.
Synopsis
Today an increasing proportion of the applications of mathematics involves discrete rather than continuous models. The main reason for this trend is the integration of the computer into more and more of modern society. This book is intended for a one-semester introductory course in discrete mathematics.
LC Classification Number
QA39.3.D58 2002

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