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Discrete Mathematics

Essentials and Applications

  • 1st Edition - April 29, 2022
  • Latest edition
  • Author: Ali Grami
  • Language: English

Discrete Mathematics: Essentials and Applications offers a comprehensive survey of the area, particularly concentrating on the basic principles and applications of Discrete Mathem… Read more

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Description

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.

Key features

  • Offers easy-to-understand coverage of the subject matter with a class-tested pedagogical approach
  • Covers all topics in Discrete Math in a comprehensive yet not overwhelming way
  • Includes numerous meaningful examples on all topics to bring insight, and relevant applications for all major topics

Readership

Discrete math course, taken by 1st or 2nd year students (~147,000, and increasing, in the 4-year market analysed by NavStem) in the following undergraduate programs:
Software Engineering
Computer Science
Electrical Engineering
Computer Engineering
Information Technology
Applied Mathematics
Practicing engineers and computer scientists, and technical supervisors in the high-tech industry

Table of contents

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

Review quotes

"Discrete Mathematics is adequately written and well-documented....

This book presents the material on the topic in a cogently coherent manner thereby serving and justifying the purpose of writing books such as this one. The classroom-tested pedagogy and its 400 examples speak a lot about the kind and amount of sweat that must have gone into it."—zbMATH Open

Product details

  • Edition: 1
  • Latest edition
  • Published: April 29, 2022
  • Language: English

About the author

AG

Ali Grami

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.
Affiliations and expertise
Department of Electrical, Computer, and Software Programming, University of Ontario Institute of Technology (Ontario Tech), Oshawa, Ontario, Canada

View book on ScienceDirect

Read Discrete Mathematics on ScienceDirect