Modular Algorithms in Symbolic Summation and Symbolic Integration

This work brings together two streams in computer algebra: symbolic integration and summation on the one hand, and fast algorithmics on the other hand. In many algorithmically oriented areas of computer science, theanalysisof- gorithms-placedintothe limelightbyDonKnuth'stalkat the 1970ICM -prov...

Full description

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Gerhard, Jürgen (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Edition:1st ed. 2005.
Series:Lecture Notes in Computer Science, 3218
Subjects:
Algorithms.
Numerical analysis.
Computer science-Mathematics.
Mathematics-Data processing.
Numerical Analysis.
Symbolic and Algebraic Manipulation.
Computational Science and Engineering.
Online Access:Texto Completo
Table of Contents:
  • 1. Introduction
  • 2. Overview
  • 3. Technical Prerequisites
  • 4. Change of Basis
  • 5. Modular Squarefree and Greatest Factorial Factorization
  • 6. Modular Hermite Integration
  • 7. Computing All Integral Roots of the Resultant
  • 8. Modular Algorithms for the Gosper-Petkovšek Form
  • 9. Polynomial Solutions of Linear First Order Equations
  • 10. Modular Gosper and Almkvist & Zeilberger Algorithms.

Similar Items