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    Combinatorics An Introduction

    ISBN-10: 111840436X
    ISBN-13: 9781118404362
    Author(s): Theodore G. Faticoni
    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'  More...
    Buy it from: $73.35
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    List Price: $85.95
    Publisher: John Wiley & Sons, Incorporated
    Binding: Hardcover
    Pages: 328
    Size: 6.25" wide x 9.25" long x 1.00" tall
    Weight: 1.232
    Language: English

    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.

    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

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