Discrete Mathematics and Its Applications (7th Edition) (English)(Chinese Edition) - Softcover

Kenneth H Rosen

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9787111385509: Discrete Mathematics and Its Applications (7th Edition) (English)(Chinese Edition)

Synopsis

《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。prefaceivabouttheauthorxiiithecompanionwebsitexivtothestudentxvilistofsymbolsxix1thefoundations:logicandproofs1.1propositionallogic1.2applicationsofpropositionallogic1.3propositionalequivalences1.4predicatesandquantifiers1.5nestedquantifiers1.6rulesofinference1.7introductiontoproofs1.8proofmethodsandstrategyend-of-chaptermaterial-2basicstructures:sets,functions,sequences,sums,andmatrices2.1sets2.2setoperations2.3functions.2.4sequencesandsummations2.5cardinalityofsets2.6matricesend-of-chaptermaterial3algorithms3.1algorithms3.2thegrowthoffunctions3.3complexityofalgofithmsend-of-chaptermaterial4numbertheoryandcryptography4.1divisibilitvandmodulararithmetic4.2integerrepresentationsandalgorithms4.3primesandgreatestcommondivisors4.4solvingcongruences4.5applicationsofcongruences4.6cryptographyend-of-chaptermaterial5inductionandrecursion5.1mathematicalinduction5.2stronginductionandwell-ordering5.3recursivedefinitionsandstructuralinduction5.4recursivealgorithms5.5programcorrectnessend-of-chaptermaterial6counting6.1tllebasicsofcounting6.2thepigeonholeprinciple6.3permutationsandcombinations6

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