Discrete and Combinatorial Mathematics
Addison Wesley (Verlag)
978-0-201-30424-4 (ISBN)
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Appropriate for four different courses: Discrete Mathematics; Combinatorics; Graph Theory; Modern Applied Algebra this text has an enhanced mathematical approach, with carefully thought out examples, including many examples with computer sciences applications. Its organization includes four parts: Discrete Mathematics, Graph Theory, Modern Algebra, and Combinatorics.*Chapter summaries allow the student to review what they have learned, while historical reviews and biographies bring a human element to their assignments
Part 1: Fundamentals of Discrete Mathematics 1. Fundamental Principles of Counting 2. Fundamentals of Logic 3. Set Theory 4. Properties of the Integers: Mathematical Induction 5. Relations and Functions 6. Languages: Finite State Machines 7. Relations: The Second Time Around Part 2: Further Topics in Enumeration 8. The Principle of Inclusion and Exclusion 9. Generating Functions 10. Recurrence Relations Part 3: Graph Theory and Applications 11. An Introduction to Graph Theory 12. Trees 13. Optimization and Matching Part 4: Modern Applied Algebra 14. Rings and Modular Arithmetic 15. Boolean Algebra and Switching Functions 16. Groups, Coding Theory, and Polya's 17. Finite Fields and Combinatorial Designs Appendix 1: Exponential and Logarithmic Functions Appendix 2: Matrices, Matrix Operations, and Determinants Appendix 3: Countable and Uncountable Sets Solutions Index
| Erscheint lt. Verlag | 8.2.1999 |
|---|---|
| Verlagsort | Boston |
| Sprache | englisch |
| Maße | 192 x 234 mm |
| Gewicht | 1420 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Graphentheorie | |
| ISBN-10 | 0-201-30424-4 / 0201304244 |
| ISBN-13 | 978-0-201-30424-4 / 9780201304244 |
| Zustand | Neuware |
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