E-Book, Englisch, Band 1, 328 Seiten
Bronstein Symbolic Integration I
2. Auflage 2005
ISBN: 978-3-540-26842-0
Verlag: Springer Berlin Heidelberg
Format: PDF
Kopierschutz: 1 - PDF Watermark
Transcendental Functions
E-Book, Englisch, Band 1, 328 Seiten
Reihe: Algorithms and Computation in Mathematics
ISBN: 978-3-540-26842-0
Verlag: Springer Berlin Heidelberg
Format: PDF
Kopierschutz: 1 - PDF Watermark
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
Autoren/Hrsg.
Weitere Infos & Material
1;Foreword;5
2;Preface to the Second Edition;7
3;Preface to the First Edition;8
4;Contents;11
5;Algebraic Prelimmaries;14
6;Integration of Rational Functions;47
7;Differential Fields;86
8;The Order Function;117
9;Integration of Transcendental Functions;138
10;The Risch Differential Equation;190
11;Parametric Problems;226
12;The Coupled Differential System;266
13;Structure Theorems;277
14;Parallel Integration;305
15;References;324
16;Index;329
