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 Luc Devroye - Birkhauser
In these lecture notes, we attempt to explain the connection between the expected time of various bucket algorithms and the distribution of the data. The results are illustrated on standard searching, sorting and selection problems.
by Richard P. Brent, Paul Zimmermann - LORIA
This book collects in the same document all state-of-the-art algorithms in multiple precision arithmetic (integers, integers modulo n, floating-point numbers). The book will be useful for graduate students in computer science and mathematics.
by Leonard Soicher, Franco Vivaldi - Queen Mary University of London
This text is a course in mathematical algorithms, intended for second year mathematics students. It introduces the algorithms for computing with integers, polynomials and vector spaces. The course requires no computing experience.
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A collection of problems on the design, analysis, and verification of algorithms for practicing programmers who wish to hone and expand their skills, as a supplementary text for students, and as a self-study text for graduate students.