- 离散数学及其应用(英文版原书第8版)/经典原版书库
- - 作者：(美)肯尼思·H.罗森|责编:曲熠
  - 出版社：机械工业
  - ISBN：9787111645306
  - 出版日期：2020/01/01
  - 页数：958
- 售价：55.6

内容大纲
    本书是介绍离散数学理论和方法的经典教材，被全球数百所高校采用，获得了极大的成功。第8版做了与时俱进的更新，添加了多重集、字符串匹配算法、同态加密、数据挖掘中的关联规则、语义网络等内容，同时更新了配套教辅资源，成为更加实用的教学工具。本书可作为1～2个学期的离散数学课程教材，适用于数学、计算机科学、计算机工程、信息技术等专业的学生。
    本书特色：
    例题：共800多道例题，用于阐明概念、建立不同主题之间的关联以及介绍实际应用。
    应用：涉及的领域包括计算机科学、数据网络、心理学、化学、工程学、语言学、生物学、商业和因特网等，展示了离散数学的实用性。
    算法：每一章都介绍了一些关键算法，提供伪代码，并简要分析其计算复杂度。
    历史资料：给出了89位数学家和计算机科学家的简短传记，帮助读者了解不同技术的历史背景和发展轨迹。
    练习、复习题和补充练习：共有4200多道难度各异的练习题，可以满足不同层次学生的需求。此外，还有一些研究性题目，帮助学生通过计算来探索新知识和新想法。
作者介绍
肯尼思·H.罗森（Kenneth H.Rosen），于1972年获密歇根大学安娜堡分校数学学士学位，1976年获麻省理工学院数学博士学位。Rosen曾就职于科罗拉多大学、俄亥俄州立大学、缅因大学和蒙茅斯大学，教授离散数学、算法设计和计算机安全方面的课程；他还曾加盟贝尔实验室，并且是AT&T贝尔实验室的杰出技术人员。他的著作《初等数论及其应用》和《离散数学及其应用》均被翻译成多种语言，在全球数百所大学中广为采用。
目录
1  The Foundations: Logic and Proofs
  1.1  Propositional Logic
  1.2  Applications of Propositional Logic
  1.3  Propositional Equivalences
  1.4  Predicates and Quantifiers
  1.5  Nested Quantifiers
  1.6  Rules of Inference
  1.7  Introduction to Proofs
  1.8  Proof Methods and Strategy
  End-of-Chapter Material
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-Chapter Material
3  Algorithms
  3.1  Algorithms
  3.2  The Growth of Functions
  3.3  Complexity of Algorithms
  End-of-Chapter Material
4  Number Theory and Cryptography
  4.1  Divisibility and Modular Arithmetic
  4.2  Integer Representations and Algorithms
  4.3  Primes and 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  The Basics of Counting
  6.2  The Pigeonhole Principle
  6.3  Permutations and Combinations
  6.4  Binomial Coefficients and Identifies
  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 Counting Techniques
  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 Their Applications
  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 and Graph Models
  10.2  Graph Terminology and Special Types of Graphs
  10.3  Representing Graphs and Graph Isomorphism
  10.4  Connectivity
  10.5  Euler and Hamilton Paths
  10.6  Shortest-Path Problems
  10.7  Planar Graphs
  10.8  Graph Coloring
  End-of-Chapter Material
11  Trees
  11.1  Introduction to Trees
  11.2  Applications of Trees
  11.3  Tree Traversal
  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 Computation
  13.1  Languages and Grammars
  13.2  Finite-State Machines with Output
  13.3  Finite-State Machines with No Output
  13.4  Language Recognition
  13.5  Turing Machines
  End-of-Chapter Material
Appendices
  1  Axioms for the Real Numbers and the Positive Integers

  2  Exponential and Logarithmic Functions
  3  Pseudocode
Suggested Readings B-1
Answers to Odd-Numbered Exercises S-1
Index of Biographies I-1
Index I-2

内容大纲

作者介绍

目录

同类热销排行榜

推荐书目