(正版特价)离散数学及其应用(英文版第7版) 计算机与互联网书籍|224558 下载 mobi epub pdf 电子书 2024

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店铺：互动出版网图书专营店

出版社：机械工业出版社

ISBN：9787111385509

商品编码：28815798039

丛书名：经典原版书库

出版时间：2012-09-01

页数：903

图书描述

书名：	(正版特价)离散数学及其应用(英文版第7版)\|224558
图书定价：	99元
图书作者：	(美)Kenneth H. Rosen
出版社：	机械工业出版社
出版日期：	2012/9/1 0:00:00
ISBN号：	9787111385509
开本：	16开
页数：	903
版次：	1-1

内容简介

《离散数学及其应用(英文版第7版)》是介绍离散数学理论和方法的经典教材，已经成为采用率最高的离散数学教材，被美国众多名校用作教材，获得了极大的成功。本书中文版也已被国内大学广泛采用为教材。作者参考用书教师和学生的反馈，并结合自身对教育的洞察，在第7版中做了大量的改进，使其成为更有效的教学工具。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。

《离散数学及其应用(英文版第7版)》
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 Special 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

编辑推荐

《离散数学及其应用(英文版第7版)/经典原版书库》编*者Kenneth H.Rosen。
本书是介绍离散数学理论和方法的经典教材，已经成为采用率*高的离散数学教材，被美国众多名校用作教材，获得了*大的成功。本书中文版也已被国内大学广泛采用为教材。作者参考用书教师和学生的反馈，并结合自身对教育的洞察，在第7版中做了大量的改进，使其成为*有效的教学工具。本书可作为1-2个学期的离散数学课程教材，实用于数学、计算机科学、计算机工程、信息技术专业的学生。

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