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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.
List of contents
Part I: Logic1. Propositional Logic
2. Predicate Logic
Part II: Set Theory and Related Topics3. Sets
4. Matrices
5. Relations
6. Functions
7. Boolean Algebra
Part III: Proof Methods8. Sequences
9. Recursion
10. Induction
11. General Proof Methods
Part IV: Number Theory and Applications12. Elementary Number Theory
13. Cryptography
Part V: Probability14. Counting Methods
15. Discrete Probability
16. Discrete Random Variables
Part VI: Graph Theory17. Graphs
18. Trees
19. Network Models
Part VII: Algorithms and Finite State Machines20. Algorithms
About the author
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.
