Discrete Mathematical Structures 6th Edition

Discrete Mathematical Structures 6th Edition- Ebook Instant Download/Delivery ISBN(s): 9780132078450,0132078457, 9780137538782

Product details:

• ISBN-10 ‏ : ‎ 0132078457
• ISBN-13 ‏ : ‎ 9780137538782
• Author: Bernard Kolman , Robert Busby, Sharon Ross

Discrete Mathematical Structures, 6th Edition offers a clear and concise presentation of the fundamental concepts of discrete mathematics. Ideal for a one-semester introductory course, it contains more genuine computer science applications than any other text in the field. It is written at an appropriate level for a wide variety of majors and non-majors, and assumes a college algebra course as a prerequisite.

Table contents:

1. Fundamentals
   • 1.1 Sets and Subsets
   • 1.2 Operations on Sets
   • 1.3 Sequences
   • 1.4 Properties of Integers
   • 1.5 Matrices
   • 1.6 Mathematical Structures
2. Logic
   • 2.1 Propositions and Logical Operations
   • 2.2 Conditional Statements
   • 2.3 Methods of Proof
   • 2.4 Mathematical Induction
   • 2.5 Mathematical Statements
   • 2.6 Logic and Problem Solving
3. Counting
   • 3.1 Permutations
   • 3.2 Combinations
   • 3.3 Pigeonhole Principle
   • 3.4 Elements of Probability
   • 3.5 Recurrence Relations 112
4. Relations and Digraphs
   • 4.1 Product Sets and Partitions
   • 4.2 Relations and Digraphs
   • 4.3 Paths in Relations and Digraphs
   • 4.4 Properties of Relations
   • 4.5 Equivalence Relations
   • 4.6 Data Structures for Relations and Digraphs
   • 4.7 Operations on Relations
   • 4.8 Transitive Closure and Warshall’s Algorithm
5. Functions
   • 5.1 Functions
   • 5.2 Functions for Computer Science
   • 5.3 Growth of Functions
   • 5.4 Permutation Functions
6. Order Relations and Structures
   • 6.1 Partially Ordered Sets
   • 6.2 Extremal Elements of Partially Ordered Sets
   • 6.3 Lattices
   • 6.4 Finite Boolean Algebras
   • 6.5 Functions on Boolean Algebras
   • 6.6 Circuit Design
7. Trees
   • 7.1 Trees
   • 7.2 Labeled Trees
   • 7.3 Tree Searching
   • 7.4 Undirected Trees
   • 7.5 Minimal Spanning Trees
8. Topics in Graph Theory
   • 8.1 Graphs
   • 8.2 Euler Paths and Circuits
   • 8.3 Hamiltonian Paths and Circuits
   • 8.4 Transport Networks
   • 8.5 Matching Problems
   • 8.6 Coloring Graphs
9. Semigroups and Groups
   • 9.1 Binary Operations Revisited
   • 9.2 Semigroups
   • 9.3 Products and Quotients of Semigroups
   • 9.4 Groups
   • 9.5 Products and Quotients of Groups
   • 9.6 Other Mathematical Structures
10. Languages and Finite-State Machines
    • 10.1 Languages
    • 10.2 Representations of Special Grammars and Languages
    • 10.3 Finite-State Machines
    • 10.4 Monoids, Machines, and Languages
    • 10.5 Machines and Regular Languages
    • 10.6 Simplification of Machines
11. Groups and Coding
    • 11.1 Coding of Binary Information and Error Detection
    • 11.2 Decoding and Error Correction
    • 11.3 Public Key Cryptology

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