Symbolic Integration I Transcendental Functions /

• Main Author: Bronstein, Manuel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Edition: Second Edition.
• Series: Algorithms and Computation in Mathematics, 1
• Subjects: Mathematics.; Computers.; Computer science > Mathematics.; Algebra.; Mathematical analysis.; Analysis (Mathematics).; Algorithms.; Analysis.; Theory of Computation.; Symbolic and Algebraic Manipulation.

This first volume in the series "Algorithms and Computation in Mathematics" is destined to become the standard reference work in the field. Manuel Bronstein is a leading expert on this topic and his book is the first to treat the subject both comprehensively and in sufficient detail - inco...

Table of Contents:

• Algebraic Preliminaries
• Integration of Rational Functions
• Differential Fields
• The Order Function
• Integration of Transcendental Functions
• The Risch Differential Equation
• Parametric Problems
• The Coupled Differential System
• Structure Theorems
• Parallel Integration.