Description: About this productProduct InformationFor one- or two-term freshman/sophomore-level courses in Discrete Mathematics. Combining a careful selection of topics with previews of their genuine applications in computer science, this text, more than any other book in its field, is written at an elementary level with a strong pedagogical focus. It limits its area and coverage of topics to those that students will actually utilize, and emphasizes both basic theory and applications, giving a firm foundation for more advanced courses, as well as providing an excellent reference work for those courses.Product IdentifiersPublisherPrentice Hall PTRISBN-100130457973ISBN-139780130457974eBay Product ID (ePID)4418744Product Key FeaturesAuthorSharon Cutler Ross, Bernard Kolman, Robert C. BusbyPublication NameDiscrete Mathematical StructuresFormatHardcoverLanguageEnglishFeaturesRevisedPublication Year2003TypeTextbookNumber of Pages528 PagesDimensionsItem Length10.7in.Item Height1in.Item Width8.2in.Item Weight41.1 OzAdditional Product FeaturesLc Classification NumberQa76.9.M35Edition DescriptionRevised EditionEdition Number5Table of Content1. Fundamentals.Sets and Subsets. Operations on Sets. Sequences. Properties of Integers. Matrices. Mathematical Structures.2. Logic.Propositions and Logical Operations. Conditional Statements. Methods of Proof. Mathematical Induction.3. Counting.Permutations. Combinations. Pigeonhole Principle. Elements of Probability. Recurrence Relations.4. Relations and Digraphs.Product Sets and Partitions. Relations and Digraphs. Paths in Relations and Digraphs. Properties of Relations. Equivalence Relations. Computer Representation of Relations and Digraphs. Operations on Relations. Transitive Closure and Warshall's Algorithm.5. Functions.Functions. Functions for Computer Science. Growth of Functions. Permutation Functions.6. Order Relations and Structures.Partially Ordered Sets. Extremal Elements of Partially Ordered Sets. Lattices. Finite Boolean Algebras. Functions on Boolean Algebras. Circuit Design.7. Trees.Trees. Labeled Trees. Tree Searching. Undirected Trees. Minimal Spanning Trees.8. Topics in Graph Theory.Graphs. Euler Paths and Circuits. Hamiltonian Paths and Circuits. Transport Networks. Matching Problems. Coloring Graphs.9. Semigroups and Groups.Binary Operations, Revisited. Semigroups. Products and Quotients of Semigroups. Groups. Products and Quotients of Groups.10. Languages and Finite-State Machines.Languages. Representations of Special Grammars and Languages. Finite-State Machines. Semigroups, Machines, and Languages. Machines and Regular Languages. Simplification of Machines.11. Groups and Coding.Coding of Binary Information and Error Detection. Decoding and Error Correction. Public Key Cryptology.Appendix A: Algorithms and Pseudocode. Appendix B: Additional Experiments in Discrete Mathematics. Answers to Odd-Numbered Exercises. Answers to Chapter Tests. Index.Copyright Date2004Target AudienceCollege AudienceTopicDiscrete MathematicsLccn2003-060880Dewey Decimal511.6Dewey Edition22IllustratedYesGenreMathematics
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Artist: Kolman, Bernard; Busby, Robert C.; Ross, Sharon Cutler
Item Length: 10.7in.
Item Height: 1in.
Item Width: 8.2in.
Author: Sharon Cutler Ross, Bernard Kolman, Robert C. Busby
Publication Name: Discrete Mathematical Structures
Format: Hardcover
Language: English
Features: Revised
Publisher: Prentice Hall PTR
Publication Year: 2003
Type: Textbook
Item Weight: 41.1 Oz
Number of Pages: 528 Pages