Analysis of algorithms : computational methods & mathematical tools
著者
書誌事項
Analysis of algorithms : computational methods & mathematical tools
Oxford University Press, 1995
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注記
Includes bibliographical references (p. 590-602) and indexes
内容説明・目次
内容説明
This study presents the methods and tools required to determine the effectiveness of algorithms in a practical setting. It is a mathematical book emphasizing analytical techniques and computational tools. Proofs are given to the extent that they use and illustrate the methods discussed in the book. The book is designed for the dual use of a textbook in a variety of graduate courses and seminars, and as a reference for the algorithm designer and the scientist specializing in the mathematical tools of analysis of algorithms.
目次
Introduction. Part I: Tools of the Trade. 1: Generating functions. 2: Combinatorial Calculus. 3: Representations of Permutations. 4: Integral Transforms. 5: Asymptotic Methods. 6: Selected Results from Probability Theory. Part II: Trade Samples. 7: Searching and Sorting. 8: Algorithms for Communications Networks. 9: Bin Packing Heuristics. Appendix A: Binomial Coefficients. Appendix B: Stirling Numbers. Appendix C: Inequalities. Appendix D: Common Random Variables. Appendix E: Linear First Order Equations. Appendix F: Complex Analysis Definitions and Theorems. Bibliography. Notation Index and Numerical Constants. Index
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