Discrete Mathematical Structures

ISBN-10: 0130457973
ISBN-13: 9780130457974
Edition: 5th 2004 (Revised)
List price: $124.00
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Description: Combining a careful selection of topics with coverage of theirgenuineapplications in computer science, this book, more than any other in this field, is clearly and concisely written, presenting the basic ideas of discrete mathematical structures in  More...

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Book details

List price: $124.00
Edition: 5th
Copyright year: 2004
Publisher: Prentice Hall PTR
Publication date: 8/29/2003
Binding: Hardcover
Pages: 528
Size: 8.00" wide x 10.00" long x 1.00" tall
Weight: 2.530
Language: English

Combining a careful selection of topics with coverage of theirgenuineapplications in computer science, this book, more than any other in this field, is clearly and concisely written, presenting the basic ideas of discrete mathematical structures in a manner that is understandable.Limiting its scope and depth of topics to those that readers can actually utilize, this book covers first the fundamentals, then follows with logic, counting, relations and digraphs, functions, order relations and structures, trees, graph theory, semigroups and groups, languages and finite-state machines, and groups and coding.With its comprehensive appendices and index, this book can be an excellent reference work for mathematicians and those in the field of computer science.

Fundamentals
Sets and Subsets
Operations on Sets
Sequences
Properties of Integers
Matrices
Mathematical Structures
Logic
Propositions and Logical Operations
Conditional Statements
Methods of Proof
Mathematical Induction
Counting
Permutations
Combinations
Pigeonhole Principle
Elements of Probability
Recurrence Relations
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
Functions
Functions
Functions for Computer Science
Growth of Functions
Permutation Functions
Order Relations and Structures
Partially Ordered Sets
Extremal Elements of Partially Ordered Sets
Lattices
Finite Boolean Algebras
Functions on Boolean Algebras
Circuit Design
Trees
Trees
Labeled Trees
Tree Searching
Undirected Trees
Minimal Spanning Trees
Topics in Graph Theory
Graphs
Euler Paths and Circuits
Hamiltonian Paths and Circuits
Transport Networks
Matching Problems
Coloring Graphs
Semigroups and Groups
Binary Operations, Revisited
Semigroups
Products and Quotients of Semigroups
Groups
Products and Quotients of Groups
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
Groups and Coding
Coding of Binary Information and Error Detection
Decoding and Error Correction
Public Key Cryptology
Algorithms and Pseudocode
Additional Experiments in Discrete Mathematics
Answers to Odd-Numbered Exercises
Answers to Chapter Tests
Index

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