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　　《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。

目錄

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

前言/序言

離散數學及其應用（英文版）（第7版） 下載 mobi epub pdf txt 電子書

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朕沒什麼好說的，書非常好，英文原版，買來的好好享受洗禮吧

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杭州地鐵坦言，對於這樣的勸阻也是有睏難的，即使目前杭州地鐵有隨車安全員，也並非能碰到正在尿尿的情況；“就那麼一瞬間，他們尿完就走瞭。地鐵工作人員不可能配置每個車廂一個人的。”

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再遇類似事件，大傢請站齣來

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如果你有心，隨便在百度上搜索：地鐵、把尿，你會發現，從2012年杭州地鐵試運營前試乘活動第一天開始，到今年五六月，一直有網友在網上曝光，杭州地鐵車廂內有孩童便溺現象，雖然報道也有過很多次，地鐵官方也發錶瞭聲明，但這“內急”的小問題卻似乎就是一個無解的大難題——

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很棒的書

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不錯不錯，優惠促銷買的

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