Methods in Algorithmic Analysis
Language: English
Published by Taylor & Francis Ltd (Sales) Nov 2009, 2009
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 350.84
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Add to basketItem description from seller
Neuware - Accompanied by more than 1,000 examples and exercises, this comprehensive, classroom-tested text presents numerous theories, techniques, and methods used for analyzing algorithms. It includes basic material on combinatorics and probability that can be used for students with weak backgrounds. It presents information on asymptotics not usually found in similar books, including Rice's method, the Euler and Boole summation formulas, and recurrences. The author offers tutorials throughout the text on topics as diverse as continued fractions, functions of a complex variable, numerical calculations, and Stieltjes integration. An appendix contains a comprehensive collection of useful formulas.
Seller Inventory # 9781420068290
- Title
- Methods in Algorithmic Analysis
- Author
- Vladimir A Dobrushkin
- Publisher
- Taylor & Francis Ltd (Sales) Nov 2009
- Publication year
- 2009
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 1420068296
- ISBN 13
- 9781420068290
- Item weight
- 1,718 grams
- Dimensions
- 260x183x48 mm
Explores the Impact of the Analysis of Algorithms on Many Areas within and beyond Computer Science
A flexible, interactive teaching format enhanced by a large selection of examples and exercises
Developed from the author’s own graduate-level course, Methods in Algorithmic Analysis presents numerous theories, techniques, and methods used for analyzing algorithms. It exposes students to mathematical techniques and methods that are practical and relevant to theoretical aspects of computer science.
After introducing basic mathematical and combinatorial methods, the text focuses on various aspects of probability, including finite sets, random variables, distributions, Bayes’ theorem, and Chebyshev inequality. It explores the role of recurrences in computer science, numerical analysis, engineering, and discrete mathematics applications. The author then describes the powerful tool of generating functions, which is demonstrated in enumeration problems, such as probabilistic algorithms, compositions and partitions of integers, and shuffling. He also discusses the symbolic method, the principle of inclusion and exclusion, and its applications. The book goes on to show how strings can be manipulated and counted, how the finite state machine and Markov chains can help solve probabilistic and combinatorial problems, how to derive asymptotic results, and how convergence and singularities play leading roles in deducing asymptotic information from generating functions. The final chapter presents the definitions and properties of the mathematical infrastructure needed to accommodate generating functions.
Accompanied by more than 1,000 examples and exercises, this comprehensive, classroom-tested text develops students’ understanding of the mathematical methodology behind the analysis of algorithms. It emphasizes the important relation between continuous (classical) mathematics and discrete mathematics, which is the basis of computer science.
"Synopsis" may belong to another edition of this title.
About the Author
Vladimir A. Dobrushkin is a professor in the Division of Applied Mathematics at Brown University and a professor in the Department of Computer Science at Worcester Polytechnic Institute.
"About the title" may belong to another edition of this title.
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