دانلود کتاب Discrete mathematics. Elementary and beyond

Presents a novel design that allows for a great deal of customization, which many current methods fail to include; Details a flexible, comprehensive design that can be easily extended when necessary; Proven results: the versatility of the design has been effectively tested in implementations ranging from microcontrollers to supercomputers 1. Let's count -- 2. Combinatorial tools -- 3. Binomial coefficients and Pascal's triangle -- 4. Fibonacci numbers -- 5. Combinatorial probability -- 6. Integers, divisors, and primes -- 7. Graphs -- 8. Trees -- 9. Finding the optimum -- 10. Matchings in graphs -- 11. Combinatorics in geometry -- 12. Euler's formula -- 13. Coloring maps and graphs -- 14. Finite geometries, codes, Latin squares, and other pretty creatures -- 15. A glimpse of complexity and cryptography -- 16. Answers to exercises