by Marko Petkovsek, Herbert S. Wilf, Doron Zeilberger
Publisher: AK Peters, Ltd. 1996
Number of pages: 217
This book introduces the idea of hypergeometric function, the Swiss army knife of combinatorial mathematics, and proceeds to develop algorithms for their computation as well as numerous applications. The authors also reveal what, exactly, computers can help us to decide, what is a "closed form" solution, what are "canonical" and "normal" forms, and inject relevant philosophical digressions that keep the discussions lively and entertaining. The authors also present snippets of "Mathematica" code so that you can try out many of the basic operations yourself.
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by Herbert S. Wilf - AK Peters, Ltd.
An introductory textbook on the design and analysis of algorithms. Recursive algorithms are illustrated by Quicksort, FFT, and fast matrix multiplications. Algorithms in number theory are discussed with some applications to public key encryption.
by Macneil Shonle, Matthew Wilson, Martin Krischik - Wikibooks
An accessible introduction into the design and analysis of efficient algorithms. It explains only the most basic techniques, and gives intuition for and an introduction to the rigorous mathematical methods needed to describe and analyze them.
by Chris Okasaki - Carnegie Mellon University
This book describes data structures from the point of view of functional languages. The author includes both classical data structures, such as red-black trees, and a host of new data structures developed exclusively for functional languages.
by Anil K. Jain, Richard C. Dubes - Prentice Hall
The book is useful for scientists who gather data and seek tools for analyzing and interpreting data. It will be a reference for scientists in a variety of disciplines and can serve as a textbook for a graduate course in exploratory data analysis.