離散數學及其應用(英文精編版·第7版)

離散數學及其應用(英文精編版·第7版) 下載 mobi epub pdf 電子書 2024


簡體網頁||繁體網頁
[美] 肯尼思 H. 羅森(Kenneth H. Rosen) 著,陳瓊 譯



點擊這裡下載
    

想要找書就要到 圖書大百科
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

發表於2024-11-09

類似圖書 點擊查看全場最低價


圖書介紹

齣版社: 機械工業齣版社
ISBN:9787111555360
版次:1
商品編碼:12125408
品牌:機工齣版
包裝:平裝
叢書名: 經典原版書庫
開本:16開
齣版時間:2017-02-01
用紙:膠版紙
頁數:537


相關圖書





圖書描述

內容簡介

  本書是經典的離散數學教材,為全球多所大學廣為采用。本書全麵而係統地介紹瞭離散數學的理論和方法,內容涉及邏輯和證明,集閤、函數、序列、求和與矩陣,計數,關係,圖,樹,布爾代數。全書取材廣泛,除包括定義、定理的嚴格陳述外,還配備大量的實例和圖錶說明、各種練習和題目。第7版在前六版的基礎上做瞭大量的改進,使其成為更有效的教學工具。本書可作為高等院校數學、計算機科學和計算機工程等專業的教材或參考書。

作者簡介

  Kenneth H. Rosen,1972年獲密歇根大學數學學士學位,1976年獲麻省理工學院數學博士學位,1982年加入貝爾實驗室,現為AT&T;實驗室特彆成員,國際知名的計算機數學專傢,除本書外,還著有《初等數論及其應用》等書。

目錄

??

The Adapter 's Words
Preface 
About the Author
The Companion Website 
To the Student 
List of Symbols 

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 Counting
3.1 The Basics of Counting
3.2 The Pigeonhole Principle.
3.3 Permutations and Combinations.
3.4 Binomial Coefficients and Identities
3.5 Generalized Permutations and Combinations.
3.6 Generating ermutations and Combinations
End-of-Chapter Material
4 Advanced Counting Techniques
4.1 Applications of Recurrence Relations
4.2 Solving Linear Recurrence Relations
4.3 Divide-and-Conquer Algorithms and Recurrence Relations
4.4 Generating Functions
4.5 Inclusion xclusion.
4.6 Applications of Inclusion xclusion
End-of-Chapter Material..
5 Relations.
5.1 Relations and Their Properties
5.2 n-ary Relations and Their Applications
5.3 Representing Relations.
5.4 Closures of Relations
5.5 Equivalence Relations.
5.6 Partial Orderings.
End-of-Chapter Material.
6 Graphs.
6.1 Graphs and Graph Models.
6.2 Graph Terminology and Special Types of Graphs
6.3 Representing Graphs and Graph Isomorphism.
6.4 Connectivity.
6.5 Euler and Hamilton Paths.
6.6 Shortest-Path Problems.
6.7 Planar Graphs.
6.8 Graph Coloring.
End-of-Chapter Material
7 Trees
7.1 Introduction to Trees.
7.2 Applications of Trees.
7.3 Tree Traversal.
7.4 Spanning Trees
7.5 Minimum Spanning Trees
End-of-Chapter Material.
8 Boolean Algebra
8.1 Boolean Functions
8.2 Representing Boolean Functions
8.3 Logic Gates
8.4 Minimization of Circuits
End-of-Chapter Material..

Suggested Readings
Answers to Exercises

前言/序言

  PrefaceIn writing this book, I was guided by my long-standing experience and interest in teaching discrete mathematics. For the student, my purpose was to present material in a precise, readable manner, with the concepts and techniques of discrete mathematics clearly presented and demonstrated. My goal was to show the relevance and practicality of discrete mathematics to students, who are often skeptical. I wanted to give students studying computer science all of the mathematical foundations they need for their future studies. I wanted to give mathematics students an understanding of important mathematical concepts together with a sense of why these concepts are important for applications. And most importantly, I wanted to accomplish these goals without watering down the material.For the instructor, my purpose was to design a flexible, comprehensive teaching tool using proven pedagogical techniques in mathematics. I wanted to provide instructors with a package of materials that they could use to teach discrete mathematics effectively and efficiently in the most appropriate manner for their particular set of students. I hope that I have achieved these goals.I have been extremely gratified by the tremendous success of this text. The many improvements in the seventh edition have been made possible by the feedback and suggestions of a large number of instructors and students at many of the more than 600 North American schools, and at any many universities in parts of the world, where this book has been successfully used.This text is designed for a one-or two-term introductory discrete mathematics course taken by students in a wide variety of majors, including mathematics, computer science, and engineering. College algebra is the only explicit prerequisite, although a certain degree of mathematical maturity is needed to study discrete mathematics in a meaningful way. This book has been designed to meet the needs of almost all types of introductory discrete mathematics courses. It is highly flexible and extremely comprehensive. The book is designed not only to be a successful textbook, but also to serve as valuable resource students can consult throughout their studies and professional life.Goals of a Discrete Mathematics CourseA discrete mathematics course has more than one purpose. Students should learn a particular set of mathematical facts and how to apply them; more importantly, such a course should teach students how to think logically and mathematically. To achieve these goals, this text stresses mathematical reasoning and the different ways problems are solved. Five important themes are interwoven in this text: mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and applications and modeling. A successful discrete mathematics course should carefully blend and balance all five themes.1. Mathematical Reasoning: Students must understand mathematical reasoning in order to read, comprehend, and construct mathematical arguments. This text starts with a discussion of mathematical logic, which serves as the foundation for the subsequent discussions of methods of proof. Both the science and the art of constructing proofs are addressed. The technique of mathematical induction is stressed through many different types of examples of such proofs and a careful explanation of why mathematical induction is a valid proof technique.2. Combinatorial Analysis: An important problem-solving skill is the ability to count or enumerate objects. The discussion of enumeration in this book begins with the basic techniques of counting. The stress is on performing combinatorial analysis to solve counting problems and analyz ealgorithms, not on applying formulae.3. Discrete Structures: A course in discrete mathematics should teach students how to work with discrete structures, which are the abstract mathematical structures used to represent discrete objects and relationships between these objects. These discrete structures include sets, permutations, relations, graphs, trees, and finite-state machines.4. Algor

離散數學及其應用(英文精編版·第7版) 下載 mobi epub pdf txt 電子書 格式

離散數學及其應用(英文精編版·第7版) mobi 下載 pdf 下載 pub 下載 txt 電子書 下載 2024

離散數學及其應用(英文精編版·第7版) 下載 mobi pdf epub txt 電子書 格式 2024

離散數學及其應用(英文精編版·第7版) 下載 mobi epub pdf 電子書
想要找書就要到 圖書大百科
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

用戶評價

評分

經典,要好好學習一下

評分

暫時還沒有發現什麼問題

評分

字略小,紙張略糟糕

評分

我一個軟件學院的,最後天天按著cs來學,我也是瘋瞭!

評分

書很不錯,印刷清楚,價格便宜,送貨快

評分

錶示這本書講的很詳細

評分

《離散數學及其應用(英文版)(第7版)》是介紹離散數學理論和方法的經典教材,已經成為采用率最高的離散數學教材,被美國眾多名校用作教材,獲得瞭極大的成功。《離散數學及其應用(英文版)(第7版)》中文版也已被國內大學廣泛采用為教材。作者參考用書教師和學生的反饋,並結閤自身對教育的洞察,在第7版中做瞭大量的改進,使其成為更有效的教學工具。《離散數學及其應用(英文版)(第7版)》可作為1~2個學期的離散數學課程教材,適用於數學、計算機科學、計算機工程、信息技術等專業的學生。

評分

非常滿意。

評分

值得擁有 值得擁有 值得擁有

類似圖書 點擊查看全場最低價

離散數學及其應用(英文精編版·第7版) mobi epub pdf txt 電子書 格式下載 2024


分享鏈接




相關圖書


本站所有內容均為互聯網搜索引擎提供的公開搜索信息,本站不存儲任何數據與內容,任何內容與數據均與本站無關,如有需要請聯繫相關搜索引擎包括但不限於百度google,bing,sogou

友情鏈接

© 2024 book.teaonline.club All Rights Reserved. 圖書大百科 版權所有