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 K. Mehlhorn, St. Näher - Cambridge University Press
The book treats the architecture, the implementation, and the use of the LEDA system. LEDA is a library of efficient data types and algorithms and a platform for combinatorial and geometric computing, written in C++ and freely available worldwide.
by D. P. Williamson, D. B. Shmoys - Cambridge University Press
This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. It is organized around techniques for designing approximation algorithms, including greedy and local search algorithms.
by Allen B. Downey - Green Tea Press
This book is intended for college students in computer science and related fields. The book also presents basic aspects of software engineering practice, including version control and unit testing. Each chapter ends with an exercises.
by Robert Sedgewick, Kevin Wayne - Addison-Wesley Professional
This textbook surveys the most important algorithms and data structures in use today. Applications to science, engineering, and industry are a key feature of the text. We motivate each algorithm by examining its impact on specific applications.