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Discrete Mathematics with Proof by Eric Gossett - Hardcover
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Discrete Mathematics with Proof by Eric Gossett - Hardcover
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Discrete Mathematics with Proof by Eric Gossett - Hardcover

US $12.00
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    Item specifics

    Condition
    Acceptable: A book with obvious wear. May have some damage to the cover but integrity still intact. ...
    Educational Level
    Adult & Further Education
    Country/Region of Manufacture
    United States
    ISBN
    9780130669483

    About this product

    Product Identifiers

    Publisher
    Prentice Hall PTR
    ISBN-10
    0130669482
    ISBN-13
    9780130669483
    eBay Product ID (ePID)
    2383746

    Product Key Features

    Number of Pages
    808 Pages
    Publication Name
    Discrete Mathematics with Proof
    Language
    English
    Subject
    General, Discrete Mathematics
    Publication Year
    2002
    Type
    Textbook
    Author
    Eric Gossett
    Subject Area
    Mathematics
    Format
    Hardcover

    Dimensions

    Item Height
    1.3 in
    Item Weight
    64.4 Oz
    Item Length
    10.2 in
    Item Width
    8.3 in

    Additional Product Features

    Intended Audience
    College Audience
    LCCN
    2002-032965
    Illustrated
    Yes
    Table Of Content
    1. Introduction. What Is Discrete Mathematics? The Stable Marriage Problem. Other Examples. Exercises. 2. Sets, Logic, and Boolean Algebras. Sets. Logic in Daily Life. Propositional Logic. A Detailed Look at Tautologies. Boolean Algebras. Predicate Logic. Analyzing Claims (Optional). Quick Check Solutions. Projects. 3. Proof. Introduction to Mathematical Proof. Proof Strategies. Mathematical Induction. Creating Proofs: Hints and Suggestions. Quick Check Solutions. 4. Algorithms. Expressing Algorithms. Measuring Algorithm Efficiency. Pattern Matching. The Halting Problem. Quick Check Solutions. 5. Counting. Permutations and Combinations. Combinatorial Proofs. Pigeon-Hole: Inclusion-Exclusion. Quick Check Solutions. 6. Finite Probability Theory. The Language of Probabilities. Conditional Probabilities and Independent Events. Counting and Probability. Expected Value. Bayes' Theorem. Quick Check Solutions. 7. Recursion. Recursive Algorithms. Recurrence Relations. Generating Functions. The Josephus Problem. Quick Check Solutions. Projects. 8. Combinatorics. Partitions, Occupancy Problems, and Stirling Numbers. Latin Squares; Finite Projective Planes. Balanced Incomplete Block Designs. The Knapsack Problem. Error-Correcting Codes. Distinct Representatives; Ramsey Numbers. Quick Check Solutions. 9. Formal Models in Computer Science. Information. Finite-State Machines. Formal Languages. Regular Expressions. The Three Faces ofRegular.A Glimpse at More Advanced Topics. Quick Check Solutions. 10. Graphs. Terminology. Connectivity and Adjacency. Euler and Hamilton. Representation and Isomorphism. The Big Theorems: Planarity, Polyhedra, Chromatic Number. Directed Graphs and Weighted Graphs. Quick Check Solutions. 11. Trees. Terminology, Counting. Traversal, Searching, and Sorting. More Applications of Trees. Spanning Trees. Quick Check Solutions. 12. Functions, Relations, Databases, and Circuits. Functions and Relations. Equivalence Relations.n-ary Relations and Relational Databases. Binary Functions and Binary Expressions. Combinatorial Circuits. Quick Check Solutions. Appendix A. Number Systems. The Natural Numbers. The Integers. The Rational Numbers. The Real Numbers. The Complex Numbers. Other Number Systems. Representation of Numbers. Appendix B. Summation Notation. Appendix C. Logic Puzzles. Logic Puzzles about AND, OR, NOT. Logic Puzzles about Implication, Biconditional, and Equivalence. Exercises. Quick Check Solutions. Appendix D. The Golden Ratio. Appendix E. Matrices. References. Index.
    Synopsis
    For one-semester undergraduate Discrete Mathematics courses for math and computer science majors. This exceedingly well-written text equips students to apply discrete mathematics and provides opportunities for practice of the concepts presented. A semester of Calculus is useful for reasons of sophistication.
    LC Classification Number
    QA39.3.G68 2002

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