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Table of Content | Table of ContentsPART 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 Polyas Theory of Enumeration.17. Finite Fields and Combinatorial Designs. |
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