Customer Reviews

Symbolic Integration I: Transcendental Functions (Algorithms and Computation in Mathematics) (Vol 1)

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There are only few books detailing the way a Computer Algebra System does its most magical work : compute symbolic integrals. At school we learn only some tricks to do that and these tricks work only in a few cases. This is a book written by a master of symbolic integration and providing with great care all the details concerning the computers point of view : euclidean algorithms, resultants and subresultants, Hermite reduction, the Lazard-Rioboo-Trager algorithm as well as Rioboo's, the Rothstein-Trager resultant, the Risch differential equation and... so many more things concerning the integration of transcendental functions I'll stop here. You should find in this book one of the most complete implementation of symbolic integration algorithms to date. To learn more you'll have to look at the high level source code of programs like Axiom (http://savannah.nongnu.org/projects/axiom) which counted Manuel Bronstein as a major contributor. For a tutorial about CAS look at the end of his homepage : http://www-sop.inria.fr/cafe/Manuel.Bronstein
Raymond

That's what computers were really intended to know: do the Maths that even smart people can not do by hand! And all that without numbers...

good help-should have evens thoug