离散数学及其应用（英文版）（第7版）
目 录内容简介
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，sequen…
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目 录内容简介
《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。《离散数学及其应用（英文版）（第7版）》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。《离散数学及其应用（英文版）（第7版）》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。
目 录内容简介
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
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目 录内容简介
《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。《离散数学及其应用（英文版）（第7版）》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。《离散数学及其应用（英文版）（第7版）》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。
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