Item description for Symbolic Integration I: Transcendental Functions (Algorithms and Computation in Mathematics) by Manuel Bronstein...
Symbolic Integration I 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 - incorporating new results along the way. The book addresses mathematicians and computer scientists interested in symbolic computation, developers and programmers of computer algebra systems as well as users of symbolic integration methods. Many algorithms are given in pseudocode ready for immediate implementation, making the book equally suitable as a textbook for lecture courses on symbolic integration.
This second edition offers a new chapter on parallel integration, a number of other improvements and a couple of additional exercises.
From the reviews of the first edition: "... The writing is excellent, and the author provides a clear and coherent treatment of the problem of symbolic integration of transcendental functions..." F. Winkler, Computing Reviews 1997
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Est. Packaging Dimensions: Length: 9.45" Width: 6.3" Height: 0.94" Weight: 1.54 lbs.
Release Date Dec 14, 2004
ISBN 3540214933 ISBN13 9783540214939
Reviews - What do customers think about Symbolic Integration I: Transcendental Functions (Algorithms and Computation in Mathematics)?
A very detailed book by a Master! Dec 26, 2005
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
Awesome! Nov 9, 1999
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...