Modular Algorithms in Symbolic Summation and Symbolic Integration (Lecture Notes in Computer Science) free download online

Title: Modular Algorithms in Symbolic Summation and Symbolic Integration (Lecture Notes in Computer Science)
Author(s): Jurgen Gerhard
Pages: 224
Publisher: Springer
Publication date: 2005
Language: English
Format: pdf
ISBN-10: 3540240616
ISBN-13:
Description: This book brings together two streams of computer algebra: symbolic summation and integration on the one hand, and fast algorithmics on the other hand. In symbolic integration and summation, not too many algorithms with analyzed run times are known, and until now the mathematically oriented world of integration and summation and the computer science world of algorithm analysis have not had much to say to each other. The progress presented in this work towards overcoming this situation is threefold: - a clear framework for algorithm analysis with the appropriate parameters is provided, - modular algorithmic techniques are introduced in this area, and - almost optimal algorithms are presented for the basic problems.

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