An Introduction to Discrete Mathematics
- 1st Edition - June 5, 2025
- Author: Vidyadhar Kulkarni
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 3 - 2 4 8 4 8 - 1
- eBook ISBN:9 7 8 - 0 - 4 4 3 - 2 4 8 5 0 - 4
An Introduction to Discrete Mathematics offers an engaging and accessible introduction to discrete mathematics for beginning undergraduate students across a wide range of applic… Read more
An Introduction to Discrete Mathematics offers an engaging and accessible introduction to discrete mathematics for beginning undergraduate students across a wide range of application areas, from mathematics to statistics, operations research, business, engineering, and the sciences. It provides solid foundation in precise proof writing methods, with early chapters introducing set theory and logic that are followed by deductive and inductive proof techniques, number theory, counting principles, permutations and combinations, probability of events, random variables, graphs, and weighted graphs.
The book illustrates fundamental concepts in discrete mathematics with clear and precise definitions that are paired with examples and counter-examples as applied in combinatorics, discrete probability, and graph theory. Chapters include student exercises to enhance learning, and a solutions manual and example questions are available for instructors on a companion website.
The book illustrates fundamental concepts in discrete mathematics with clear and precise definitions that are paired with examples and counter-examples as applied in combinatorics, discrete probability, and graph theory. Chapters include student exercises to enhance learning, and a solutions manual and example questions are available for instructors on a companion website.
- Offers a concise, practical foundation in discrete mathematics that is ideal for a one semester undergraduate course
- Addresses applications in mathematics, statistics, operations research, business, engineering, and the sciences
- Features clear definitions, examples, and student exercises across all chapters
- Includes a Solutions Manual and example PollEverywhere questions on an instructor site
Undergraduate students in mathematics, statistics, operations research, business, engineering, and related degree programs across STEM and non-STEM majors
Part I - Foundations
1. Number System
2. Logic and Deduction
3. Sets, Functions, Sequences, Sums
4. Induction, Recursion
5. Elementary Number Theory
Part II - Combinatorics
6. Basic Principles of Counting
7. Permutations and Combinations
8. Further Topics in Counting
Part III - Discrete Probability
9. Probability of Events
10. Random Variables
Part IV - Graphs and Networks
11. Graphs
12. Weighted Graphs
1. Number System
2. Logic and Deduction
3. Sets, Functions, Sequences, Sums
4. Induction, Recursion
5. Elementary Number Theory
Part II - Combinatorics
6. Basic Principles of Counting
7. Permutations and Combinations
8. Further Topics in Counting
Part III - Discrete Probability
9. Probability of Events
10. Random Variables
Part IV - Graphs and Networks
11. Graphs
12. Weighted Graphs
- Edition: 1
- Published: June 5, 2025
- Language: English
VK
Vidyadhar Kulkarni
Professor Kulkarni received his Bachelors in Mechanical Engineering in 1976 from the Indian Institute of Technology, Bombay, and his Doctorate in Operations Research from Cornell University, in 1980. He is currently a Professor in the Department of Statistics and Operations Research at the University of North Carolina at Chapel Hill. Dr. Kulkarni is an author of an undergraduate textbook titled Introduction to Modeling and Analysis of Stochastic Systems, and a graduate textbook titled Modeling and Analysis of Stochastic Systems.
Affiliations and expertise
Professor, Department of Statistics,Operations Research, University of North Carolina, Chapel Hill, USARead An Introduction to Discrete Mathematics on ScienceDirect