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  • 离散数学及其应用(英文版第7版).经典原版书库 (美)罗森 著作 专业科技 文轩网
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    • 作者: (美)罗森著
    • 出版社: 机械工业出版社
    • 出版时间:2012-09-01 00:00:00
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    商品参数
    • 作者: (美)罗森著
    • 出版社:机械工业出版社
    • 出版时间:2012-09-01 00:00:00
    • 版次:1
    • 印次:1
    • 印刷时间:2012-09-01
    • 页数:903
    • 开本:其他
    • 装帧:平装
    • 国别/地区:中国
    • 版权提供:机械工业出版社

    离散数学及其应用(英文版第7版).经典原版书库

    作  者:(美)罗森 著作
    定  价:99
    出 版 社:机械工业出版社
    出版日期:2012年09月01日
    页  数:903
    装  帧:平装
    ISBN:9787111385509
    主编推荐

    内容简介

    作者简介

    精彩内容

    目录
    Preface iv
    About theAuthor xiii
    The Companion Website xiv
    To the Studentxvi
    List of Symbols xix
    1 The Foundations:Logic and Proofs
    1.1 Propositional Logic
    1.2 Applications of Propositional Logic
    1.3 Propositional Equivalences
    1.4 Predicates andQuantifiers
    1.5 Nested Quantifiers
    1.6 Rules of Inference
    1.7 Introduction to Proofs
    1.8 ProofMethods and Strategy
    End-of-ChapterMaterial-
    2 Basic Structures:Sets,Functions,Sequences,Sums,and Matrices
    2.1 Sets
    2.2 Set Operations
    2.3 Functions
    2.4 Sequences and Summations
    2.5 Cardinality of Sets
    2.6 Matrices
    End-of-ChapterMaterial
    3 Algorithms
    3.1 Algorithms
    3.2 The Growth of Functions
    3.3 Complexity of Algofithms
    End-of-Chapter Material
    4 Number Theory and Cryptography
    4.1 Divisibilitv andModular Arithmetic
    4.2 Integer Representations AndAlgorithms
    4.3 Primesand Greatest Common Divisors
    4.4 Solving Congruences
    4.5 Applications of Congruences
    4.6 Cryptography
    End-of-Chapter Material
    5 Induction and Recursion
    5.1 Mathematical Induction
    5.2 Strong Induction and Well-Ordering
    5.3 Recursive Definitions and Structural Induction
    5.4 Recursive Algorithms
    5.5 Program Correctness
    End-of-Chapter Material
    6 Counting
    6.1 Tlle Basics of Counting
    6.2 The Pigeonhole Principle
    6.3 Permutations and Combinations
    6.4 Binomial Coefficients and Identities
    6.5 Generalized Permutations and Combinations
    6.6 Generating Permutations and Combinations
    End-of-Chapter Material
    7 Discrete Probability
    7.1 An Introduction to Discrete Probability
    7.2 Probability Theory
    7.3 Bayes’Theorem
    7.4 Expected Value and Variance
    End-of-Chapter Material
    8 Advanced Counring Technigues
    8.1 Applications of Recurrence Relations
    8.2 Solving Linear Recurrence Relations
    8.3 Divide-and-Conquer Algorithms and Recurrence Relations
    8.4 Generating Functions
    8.5 Inclusion-Exclusion
    8.6 Applications of Inclusion-Exclusion
    End―of-Chapter Material
    9 Relations
    9.1 Relations and Their Properties
    9.2 n-ary Relations and TheirApplications
    9.3 Representing Relations
    9.4 Closures of Relations
    9.5 Equivalence Relations
    9.6 Partial Orderings
    End-of-Chapter Material
    10 Graphs
    10.1 Graphs andGraphModels
    10.2 Graph Terminology and Spe Types of Graphs
    10.3 Representing Graphs and Graph Isomorphism
    10.4 Connectivity
    10.5 EulerandHamiltonPaths
    10.6 Shortest.PathProblems
    10.7 PlanarGraphs
    10.8 GraphColoring
    End-of-Chapter Material
    11 Trees
    11.1 Introduction to Trees
    11.2 Applications of Trees
    11.3 Tree Travcrsal
    11.4 Spanning Trees
    11.5 Minimum Spanning Trees
    End-of-Chapter Material
    12 Boolean Algebra
    12.1 Boolean Functions
    12.2 Representing Boolean Functions
    12.3 Logic Gates
    12.4 Minimization of Circuits
    End-of-Chapter Material
    13 Modeling Cornputation
    13.1 Languagesand Grammars
    13.2 Finite-State Machines with Output
    13.3 Finite-State Machines with No Output
    13.4 LanguageRecognition
    13.5 Turing Machines
    End-of-Chapter Material
    Appendixes
    1 Axioms for the Real Numbers and the Positive Integers
    2 Exponential and Logarithmic Functions
    3 Pseudocode
    SuggestedReadings B-1
    Answers to Odd-Numbered Exercises S-1
    Photo Credits C-1
    Index ofBiographies I-1
    Index I-2

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