離散數學簡明教程 (雙語版) 成科揚肖文 9787302641445 【台灣高等教育出版社】

Name: 離散數學簡明教程 (雙語版) 成科揚 肖文 9787302641445 【台灣高等教育出版社】
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物品所在地：中國大陸
原出版社：清華大學

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書名：離散數學簡明教程 (雙語版)
ISBN：9787302641445
出版社：清華大學
著編譯者：成科揚肖文
頁數：338
所在地：中國大陸 *此為代購商品
書號：1603235
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內容簡介

本書是作者團隊結合多年教學實踐經驗與科學研究成果，在力求通俗易懂、簡明扼要的指導思想下編寫而成的。本書共11章，內容包含數理邏輯、集合與關係、函數、代數結構、圖和樹等。本書體系嚴謹、文字精練、內容充實、例題豐富，配套豐富的教學資源，適合高校教學使用。除此之外，本書綜合國內外離散數學的相關新資料，採用雙語的形式，從而培養讀者的外文科技文獻閱讀能力。本書適合高等院校計算機及相關專業作為「離散數學」課程的教材使用，也可以作為對離散數學感興趣的讀者的入門參考用書。

Part Ⅰ Mat ematlcal Logic
Chapter 1 Propositional Logic
1 1 Propositions and Connectives
1 2 Propositional Formula and Translation
1 3 Truth Tables and Equivalent Formulas
1 4 Tautology and Implication
1 5 Duality and Normal Form
1 6 The Reasoning Theory of Propositional Calculus
1 7 Application of Propositional Logic
Exercises
Chapter 2 Predicate Logic
2 1 Predicate and Quantifier
2 2 Predicate Formula and Translation
2 3 Constraints on Variables
2 4 Equivalence and Implication of Predicate Calculus
2 5 Prenex Normal Forms
2 6 Inference Theory of Predicate Calculus
2 7 Application of Predicate Logic
Exercises
Part Ⅱ Set Theory
Chapter 3 Set and Relation
3 1 The Concept and Representation of the Set
3 2 Operation of Set
3 3 Inclusion Exclusion Principle
3 4 Ordered Pair and Cartesian Product
3 5 Relation and Its Nature
3 6 Inverse and Compound Relations
3 7 Closure Operations
3 8 Equivalence Relation and Compatible Relation
3 9 Partial Order Relation
3 10 Application of Set and Relation
Exercises
Chapter 4 Function
4 1 The Concept and Representation of Function
4 2 Inverse Function and Compound Function
4 3 The Concept of Characteristic Function and Fuzzy Subset
4 4 Common Functions
Exercises
Part Ⅲ The Algebraic Structure
Chapter 5 Algebra System
5 1 The Introduction of Algebraic Systems
5 2 Operations and Properties of Algebraic Systems
5 3 Homomorphism and Isomorphism of Algebraic Systems
5 4 Congruence and Quotient Algebra
5 5 Product Algebra
Exercises
Chapter 6 Group
6 1 Semigroup
6 2 Group and Subgroup
6 3 Homomorphism and Isomorphism of Groups
6 4 Abelian Groups and Cyclic Groups
Exercises
Chapter 7 Lattice and Boolean Algebra
7 1 The Concept and Properties ot" Lattice
7 2 Distributive Lattice
7 3 Complemented Lattice
7 4 Boolean Algebra
7 5 Boolean Expression
Exercises
Part Ⅳ Graph Theory
Chapter 8 Basic Concepts of Graphs
8 1 Concept of Graph
8 2 Subgraph and Isomorphic Graph
8 3 Path and Loop
8 4 Matrix Representation of Graph
Exercises
Chapter 9 Euler Graph and Hamiltonian Graph
9 1 Euler Graph
9 2 Hamiltonian Graph
9 3 Application of Euler Graph and Hamiltonian Graph
Exercises
Chapter 10 Planar Graph
10 1 Basic Concepts of the Planar Graph
10 2 Euler Formula and Judgment of Planar Graph
10 3 Dual Graph and Properties
10 4 Application of the Planar Graph
Exercises
Chapter 11 Tree
11 1 The Concept and Properties of Trees
11 2 Spanning Tree
11 3 Directed Tree
11 4 Root Trees and Their Applications
Exercises
Reference
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