Guide to Discrete Mathematics: An Accessible Introduction to the History, Theory, Logic and Applications, 2nd Edition
- Length: 473 pages
- Edition: 2
- Language: English
- Publisher: Springer
- Publication Date: 2021-12-19
- ISBN-10: 3030815870
- ISBN-13: 9783030815875
- Sales Rank: #0 (See Top 100 Books)
This stimulating textbook presents a broad and accessible guide to the fundamentals of discrete mathematics, highlighting how the techniques may be applied to various exciting areas in computing. The text is designed to motivate and inspire the reader, encouraging further study in this important skill.
Features: This book provides an introduction to the building blocks of discrete mathematics, including sets, relations and functions; describes the basics of number theory, the techniques of induction and recursion, and the applications of mathematical sequences, series, permutations, and combinations; presents the essentials of algebra; explains the fundamentals of automata theory, matrices, graph theory, cryptography, coding theory, language theory, and the concepts of computability and decidability; reviews the history of logic, discussing propositional and predicate logic, as well as advanced topics such as the nature of theorem proving; examines the field of software engineering, including software reliability and dependability and describes formal methods; investigates probability and statistics and presents an overview of operations research and financial mathematics.
Cover Front Matter 1. Mathematics in Civilization 2. Sets, Relations and Functions 3. Number Theory 4. Mathematical Induction and Recursion 5. Sequences, Series, and Permutations and Combinations 6. Algebra 7. Automata Theory 8. Matrix Theory 9. Graph Theory 10. Cryptography 11. Coding Theory 12. Language Theory and Semantics 13. Computability and Decidability 14. A Short History of Logic 15. Propositional and Predicate Logic 16. Advanced Topics in Logic 17. The Nature of Theorem Proving 18. Software Engineering Mathematics 19. Software Reliability and Dependability 20. Formal Methods 21. Z Formal Specification Language 22. Statistics 23. Probability Theory 24. Operations Research 25. Basic Financial Mathematics Back Matter
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