離散數學 (英文) 陳明 9787560669090 【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：西安電子科技大學
物品所在地：中國大陸
原出版社：西安電子科技大學
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| *完成訂單後正常情形下約兩周可抵台。 *本賣場提供之資訊僅供參考，以到貨標的為正確資訊。 印行年月：202307*若逾兩年請先於私訊洽詢存貨情況，謝謝。 台灣(台北市)在地出版社，每筆交易均開具統一發票，祝您中獎最高1000萬元。 書名：離散數學 (英文) ISBN：9787560669090 出版社：西安電子科技大學 著編譯者：陳明 頁數：140 所在地：中國大陸 *此為代購商品 書號：1554706 可大量預訂，請先連絡。 內容簡介 The book is mainly aimed at the bilingual curriculum design of discrete mathematics It can meet the needs of the types of an introduction to the fundamental ideas of discrete mathematics， and as a foundation for the development of more advanced mathematical concepts The book includes four parts The first part is mathematical logic which covers propositional logic in Chapter 1 and predicate logic in Chapter 2 It gives a method how to express natural language statements using symbols as the foundation to discrete mathematics， especially for sets The logic parts include equivalent calculation and the discussion of proof The second part is set theory with sets in Chapter 3， relations in Chapter 4， and functions in Chapter 5， which is the basics of the whole mathematics Chapter 3 presents basic types of sets and their operations Chapter 4 presents definition， properties and operations of relations， along with their representation as directed graphs and connections with matrices Chapter 5 restates the function from the perspective of relations， including countable sets and uncountable sets The third part is graph theory in Chapter 6 which is the sources for data structures and algorithms It covers terminology， representation and special structure of graphs The last part， that is a highly abstract part， is algebraic systems in Chapter 7， which covers semigroups， groups rings and fields By algebraic systems we can find commonalities of many familiar rules This book can be used as a discrete mathematics course's reference for computer， mathematics， big data technology and some related disciplines in Institutions of Higher Learning， and can also provide useful help for other readers of discrete mathematics， especially for bilingual learning目錄 Chapter 1 Propositional Logic1 1 The Basics of Propositional Logic 1 1 1 Propositions and Operators 1 1 2 Propositional Formulas 1 2 Propositional Equivalence 1 2 1 Equivalence and Some Basic Properties 1 2 2 Normal Form 1 3 Rules of Inference and Proof for Propositional Logic 1 3 1 Valid Arguments 1 3 2 Building Arguments and Proofs Exercise 1 Chapter 2 Predicate Logic 2 1 The Basics of Predicate Logic 2 1 1 Language of Predicate Logic 2 1 2 Predicate Formulas 2 2 Predicate Equivalences 2 2 1 Equivalences 2 2 2 Prenex Normal Form 2 3 Rules of Inference for Predicate Logic Exercise 2 Chapter 3 Sets 3 1 The Basics of Sets 3 1 1 The Set Concept and Set Description 3 1 2 Set Equality and Relationship between Sets 3 1 3 Some Special Sets 3 2 Operations on Sets 3 2 1 The Basic Operation 3 2 2 Set Identities 3 3 Principle of Inclusion-Exclusion Exercise 3 Chapter 4 Relations 4 1 The Basics of Relations 4 1 1 Order Pairs and Cartesian Product 4 1 2 Concept and Representations of Binary Relations 4 1 3 Operations on Relations 4 1 4 Properties of Relations 4 1 5 Closures of Relations 4 2 Equivalence Relations 4 2 1 Definition of Equivalence Relations 4 2 2 Partitions 4 3 Partial Order Relations 4 3 1 Definition of Partial Order 4 3 2 Hasse Diagrams 4 3 3 Special Elements in Posets Exercise 4 Chapter 5 Functions 5 1 The Basics of Function 5 1 1 Concept and Properties of Functions 5 1 2 Inverse Function and Composition of Functions 5 2 Countability of Sets 5 2 1 Cardinality of Sets 5 2 2 Countable Sets and Uncountable Sets Exercise 5 Chapter 6 Graphs 6 1 The Basics of Graphs 6 2 Graph Terminology 6 2 1 The Path 6 2 2 Connectivity 6 3 Representing Graph Using Matrices 6 3 1 Incidence Matrices 6 3 2 Adjacency Matrices 6 3 3 Reachability Matrices 6 4 Tree 6 5 Euler Graphs and Hamilton Graphs 6 5 1 Euler Graphs 6 5 2 Hamilton Graphs 6 6 Planar 6 6 1 The Concepts of Planar 6 6 2 Euler's Formulas 6 6 3 Kuratowski's Theorem Exercise 6 Chapter 7 Algebra 7 1 Algebraic Structures 7 1 1 Binary Operations 7 1 2 Algebra 7 2 Groups 7 2 1 Concept of a Group 7 2 2 Subgroups 7 3 Rings and Fields Exercise 7 References 詳細資料或其他書籍請至台灣高等教育出版社查詢，查後請於PChome商店街私訊告知ISBN或書號，我們即儘速上架。 |
