Schaum's outline of theory and problems of discrete mathematics

著者

書誌事項

Schaum's outline of theory and problems of discrete mathematics

Seymour Lipschutz, Marc Lars Lipson

(Schaum's outline series)

McGraw-Hill, c2007

3rd ed.

タイトル別名

Schaum's outlines discrete mathematics

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注記

Includes index

内容説明・目次

内容説明

This is a topic that becomes increasingly important every year as the digital age extends and grows more encompassing in every facet of lifeDiscrete mathematics, the study of finite systems has become more important as the computer age has advanced, as computer arithmetic, logic, and combinatorics have become standard topics in the discipline. For mathematics majors it is one of the core required courses. This new edition will bring the outline into synch with Rosen, McGraw-Hill's bestselling textbook in the field as well as up to speed in the current curriculum.New material will include expanded coverage of logic, the rules of inference and basic types of proofs in mathematical reasoning. This will give students a better understanding of proofs of facts about sets and functions. There will be increased emphasis on discrete probability and aspects of probability theory, and greater accessibility to counting techniques.This new edition features:Counting chapter will have new material on generalized combinationsNew chapter on computer arithmetic, with binary and hexagon addition and multiplicationNew Cryptology chapter including substitution and RSA methodThis outline is the perfect supplement to any course in discrete math and can also serve as a stand-alone textbook

目次

Chapter 1.Set TheoryChapter 2.RelationsChapter 3.Functions and AlgorithmsChapter 4.Logic and Propositional CalculusChapter 5.Techniques of CountingChapter 6.Advanced Counting Techniques, RecursionChapter 7.ProbabilityChapter 8.Graph TheoryChapter 9.Directed GraphsChapter 10.Binary TreesChapter 11.Properties of the IntegersChapter 12.Languages, Automata, GrammarsChapter 13.Finite State Machines and Turing MachinesChapter 14.Ordered Sets and LatticesChapter 15.Boolean AlgebraAppendix A: Vectors and MatricesAppendix B: Algebraic SystemsIndex

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