Modular Algorithms in Symbolic Summation and Symbolic Integration [1 ed.] 3540240616, 9783540240617, 9783540301370

This work brings together two streams in computer algebra: symbolic integration and summation on the one hand, and fast

489 63 15MB

English Pages 228 Year 2005

Modular Algorithms in Symbolic Summation and Symbolic Integration [1 ed.]
3540240616, 9783540240617, 9783540301370

Author / Uploaded
Jürgen Gerhard (auth.)

Categories
History

Table of contents :
Front Matter....Pages -
1. Introduction....Pages 1-5
2. Overview....Pages 7-25
3. Technical Prerequisites....Pages 27-40
4. Change of Basis....Pages 41-60
5. Modular Squarefree and Greatest Factorial Factorization....Pages 61-77
6. Modular Hermite Integration....Pages 79-95
7. Computing All Integral Roots of the Resultant....Pages 97-120
8. Modular Algorithms for the Gosper-Petkovšek Form....Pages 121-148
9. Polynomial Solutions of Linear First Order Equations....Pages 149-193
10. Modular Gosper and Almkvist & Zeilberger Algorithms....Pages 195-205
Back Matter....Pages -

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