Combinatorics An Introduction

Name: Combinatorics An Introduction
Price: 97.95 USD
Availability: InStock
ISBN: 9781118404362

ISBN-10: 111840436X

ISBN-13: 9781118404362

Edition: 2013

Authors: Theodore G. Faticoni

List price: $103.95

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Description:

This book provides a treatment of counting combinatorics that uniquely includes detailed formulas, proofs, and exercises and features coverage of derangements, elementary probability, conditional probability, independent probability, and Bayes' Theorem. Using elementary applications that never advance beyond the use of Venn diagrams, the inclusion/exclusion formula, the multiplication principal, permutations, and combinations, Combinatorics is perfect for courses on discrete or finite mathematics—or as a reference for anyone who wants to learn about the various applications of elementary combinatorics.

Book details

List price: $103.95
Copyright year: 2013
Publisher: John Wiley & Sons, Incorporated
Publication date: 1/29/2013
Binding: Hardcover
Pages: 328
Size: 6.50" wide x 9.50" long x 0.90" tall
Weight: 1.320
Language: English



Preface



Logic



Formal Logic



Basic Logical Strategies



The Direct Argument



More Argument Forms



Proof by Contradiction



Exercises



Sets



Set Notation



Predicates



Subsets



Union and Intersection



Exercises



Venn Diagrams



Inclusion/Exclusion Principle



Two-Circle Venn Diagrams



Three-Square Venn Diagrams



Exercises



Multiplication Principle



What Is the Principle?



Exercises



Permutations



Some Special Numbers



Permutations Problems



Exercises



Combinations



Some Special Numbers



Combination Problems



Exercises



Problems Combining Techniques



Significant Order



Order Not Significant



Exercises



Arrangement Problems



Examples of Arrangements



Exercises



At Least, At Most, and Or



Counting with Or



At Least, At Most



Exercises



Complement Counting



The Complement Formula



A New View of "At Least"



Exercises



Advanced Permutations



Venn Diagrams and Permutations



Exercises



Advanced Combinations



Venn Diagrams and Combinations



Exercises



Poker and Counting



Warm-Up Problems



Poker Hands



Jacks or Better



Exercises



Advanced Counting



Indistinguishable Objects



Circular Permutations



Bracelets



Exercises



Algebra and Counting



The Binomial Theorem



Identities



Exercises



Derangements



Mathematical Induction



Fixed-Point Theorems



His Own Coat



Inclusion/Exclusion for Many Sets



A Common Miscount



Exercises



Probability Vocabulary



Vocabulary



Equally Likely Outcomes



Outcomes in Experiments



Exercises



Probability Trees



Tree Diagrams



Exercises



Independent Events



Independence



Logical Consequences of Influence



Exercises



Sequences and Probability



Sequences of Events



Exercises



Conditional Probability



What Does Conditional Mean?



Exercises



Bayes' Theorem



The Theorem



Exercises



Statistics



Introduction



Probability Is Not Statistics



Conversational Probability



Conditional Statistics



The Mean



Median



Randomness



Linear Programming



Continuous Variables



Discrete Variables



Incorrectly Applied Rules



Subjective Truth



The Absolute Truth of Axioms


Bibliography


Index