An Introduction to Discrete Mathematics offers an engaging, 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, followed by deductive and inductive proof techniques, number theory, counting principles, permutations and combinations, probability of events, random variables, graphs, and weighted graphs.In a succinct, one semester format, An Introduction to Discrete Mathematics illustrates fundamental concepts in discrete mathematics with clear and precise definitions. These are paired with examples and counter-examples as applied in combinatorics, discrete probability, and graph theory, with accompany student exercises at the end of each chapter. A Solutions Manual and PollEverywhere example questions are available for instructors on a companion website. Offers a concise, practical foundation in discrete mathematics, ideal for a one semester undergraduate courseAddresses applications in mathematics, statistics, operations research, business, engineering, and the sciencesFeatures clear definitions, examples, and student exercises across all chaptersIncludes a Solutions Manual and example PollEverywhere questions on an instructor site INDICE: 1. Number System2. Logic and Deduction3. Sets, Functions, Sequences, Sums4. Induction, Recursion5. Elementary Number Theory6. Basic Principles of Counting7. Permutations and Combinations8. Further Topics in Counting9. Probability of Events10. Random Variables11. Graphs12. Weighted Graphs
- ISBN: 978-0-443-24848-1
- Editorial: Academic Press
- Encuadernacion: Rústica
- Páginas: 320
- Fecha Publicación: 01/02/2025
- Nº Volúmenes: 1
- Idioma: Inglés