Discrete Mathematics. Essentials and Applications

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Book
September 2022
Elsevier Science and Technology
ID: 5548515

Discrete Mathematics: Essentials and Applications offers a comprehensive survey of the area, particularly concentrating on the basic principles and applications of Discrete Mathematics. This up-to-date text provides proofs of significance, keeping the focus on numerous relevant examples and many pertinent applications. Written in a simple and clear tone, the title features insightful descriptions and intuitive explanations of all complex concepts and ensures a thorough understanding of the subject matter.

Part I: Logic
1. Propositional Logic
2. Predicate Logic

Part II: Set Theory and Related Topics
3. Sets
4. Matrices
5. Relations
6. Functions
7. Boolean Algebra

Part III: Proof Methods
8. Sequences
9. Recursion
10. Induction
11. General Proof Methods

Part IV: Number Theory and Applications
12. Elementary Number Theory
13. Cryptography

Part V: Probability
14. Counting Methods
15. Discrete Probability
16. Discrete Random Variables

Part VI: Graph Theory
17. Graphs
18. Trees
19. Network Models

Part VII: Algorithms and Finite State Machines
20. Algorithms

Authors

Ali Grami Department of Electrical, Computer, and Software Programming, University of Ontario Institute of Technology (Ontario Tech), Oshawa, Ontario, Canada. Dr. Grami received his PhD in Electrical Engineering from the University of Toronto. He has worked for Nortel Networks, where he was involved in the research, design, and development of North America's first digital cellular wireless system.He later joined Telesat Canada, where he was the lead researcher and principal designer of Canada's Anik-F2 Ka-band system, the world's first broadband access satellite system. Dr. Grami is currently an associate professor in the Faculty of Engineering and Applied Science at the University of Ontario Institute of Technology (UOIT), where as a founding faculty member he has led the development of various programs, including the BEng, MEng, and PhD programs in ECE.

Table of Contents

Authors

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