TY - BOOK AU - Alon,Noga AU - Spencer,Joel H. TI - Probabilistic method SN - 9781119061953 U1 - 511.6 23 PY - 2016/// CY - New Jersey : PB - John Wiley, KW - Combinatorial analysis KW - Probabilities N1 - Includes bibliographical references and indexes; 1. The basic method -- 2. Linearity of expectation -- 3. Alterations -- 4. The second moment -- 5. The local lemma -- 6. Correlation inequalities -- 7. Martingales and tight concentration -- 8. The Poisson paradigm -- 9. Quasirandomness -- 10. Random graphs -- 11. The Erdos-Renyi phase transition -- 12 Circuit complexity -- 13. Discrepancy -- 14. Geometry -- 15. Codes, games and entropy -- 16. Derandomization -- 17. Graph property testing -- Appendices N2 - This is a classic in probabilistic methods as applied specifically to combinatorics and computations. The specific applications of the probabilistic methods in number theory have novel presentation hard to find elsewhere ER -