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    Discrete and Combinatorial Mathematics

    ISBN-10: 0201726343
    ISBN-13: 9780201726343
    Author(s): Ralph P. Grimaldi
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    List Price: $198.60
    Edition: 5th
    Publisher: Addison Wesley
    Binding: Paperback
    Pages: 833
    Size: 8.00" wide x 10.00" long x 1.50" tall
    Weight: 4.686
    Language: English

    Fundamentals of Discrete Mathematics
    Fundamental Principles of Counting
    The Rules of Sum and Product
    Combinations: The Binomial Theorem
    Combinations with Repetition
    The Catalan Numbers (Optional)
    Summary and Historical Review
    Fundamentals of Logic
    Basic Connectives and Truth Tables
    Logical Equivalence: The Laws of Logic
    Logical Implication: Rules of Inference
    The Use of Quantifiers
    Quantifiers, Definitions, and the Proofs of Theorems
    Summary and Historical Review
    Set Theory
    Sets and Subsets
    Set Operations and the Laws of Set Theory
    Counting and Venn Diagrams
    A First Word on Probability
    The Axioms of Probability (Optional)
    Conditional Probability: Independence (Optional)
    Discrete Random Variables (Optional)
    Summary and Historical Review
    Properties of the Integers: Mathematical Induction
    The Well-Ordering Principle: Mathematical Induction
    Recursive Definitions
    The Division Algorithm: Prime Numbers
    The Greatest Common Divisor: The Euclidean Algorithm
    The Fundamental Theorem of Arithmetic
    Summary and Historical Review
    Relations and Functions
    Cartesian Products and Relations
    Functions: Plain and One-to-One
    Onto Functions: Stirling Numbers of the Second Kind
    Special Functions
    The Pigeonhole Principle
    Function Composition and Inverse Functions
    Computational Complexity
    Analysis of Algorithms
    Summary and Historical Review
    Languages: Finite State Machines
    Language: The Set Theory of Strings
    Finite State Machines: A First Encounter
    Finite State Machines: A Second Encounter
    Summary and Historical Review
    Relations: The Second Time Around
    Relations Revisited: Properties of Relations
    Computer Recognition: Zero-One Matrices and Directed Graphs
    Partial Orders

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    • Due Date: 12/23/2015

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