An Introduction to Discrete Mathematics
by Vidyadhar Kulkarni
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 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.
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Table of Contents
Part I - Foundations1. Number System2. Logic and Deduction3. Sets, Functions, Sequences, Sums4. Induction, Recursion5. Elementary Number TheoryPart II - Combinatorics6. Basic Principles of Counting7. Permutations and Combinations8. Further Topics in CountingPart III - Discrete Probability9. Probability of Events10. Random VariablesPart IV - Graphs and Networks11. Graphs12. Weighted Graphs
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