Symbolic Integration I

Transcendental Functions
2. Auflage 2005
ISBN: 978-3-642-05996-4
Verlag: Springer

Buch, Englisch, 328 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 522 g

Reihe: Algorithms and Computation in Mathematics

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

Zielgruppe

Research

Autoren/Hrsg.

Bronstein, Manuel

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

Inhaltsverzeichnis

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.