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An Introduction to Discrete Mathematics,
Edition 1Editors: By Vidyadhar Kulkarni
Publication Date:
05 Jun 2025
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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.
Key Features
- 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
About the author
By Vidyadhar Kulkarni, Professor, Department of Statistics,Operations Research, University of North Carolina, Chapel Hill, USA
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
ISBN:
9780443248481
Page Count:
320
Retail Price
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Access to teacher/student resources is available to registered users with approved inspection copies or confirmed adoptions. To review this material, please request an inspection copy.
Undergraduate students in mathematics, statistics, operations research, business, engineering, and related degree programs across STEM and non-STEM majors