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Q&A | February 27, 2014

Rene Denfeld: IMG Powell’s Q&A: Rene Denfeld



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Algorithms and Computation in Mathematics #1: Symbolic Integration I

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Algorithms and Computation in Mathematics #1: Symbolic Integration I Cover

 

Synopses & Reviews

Publisher Comments:

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 - 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, as well as a few comments on obtaining continuous antiderivatives and additional exercises. From the Reviews "The goal of this well-written book is to present the state of the art in the domain of "integration in finite terms". ... Both aspects of the work, mathematics and implementation, are present in the book. Moreover, Bronstein has chosen a good level of detail, and in such a way that he only deals with the case of transcendental functions. ..." J.M.Ollagnier, Mathematical Reviews 2002 "... It makes an excellent textbook for courses in computer algebra. It contains many exercises and the algorithms are presented in pseudocode, which is easy to implement in any computer algebra system. For those interested in symbolic integration it will become the standard reference." N.A.van Arkel, Medelingen van het wiskundig genootschap 1998 "... The writing is excellent, and the author provides a clear and coherent treatment of the problem of symbolic integration of transcendental functions. Each chapter includes several worked examples and a list of additional exercises. Every researcher and teacher in symbolic computation should have access to this book." F.Winkler, Computing Reviews 1997 "My first thought on seeing this book was "I wish I had written it" - it resembles my lecture notes on the subject, but is better and more complete. ... In sum, the book does what it sets out to do, does it well, and should be on the bookshelf of every implementer or teacher." J.Davenport, The SAC Newsletter 2, 1997

Synopsis:

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

Synopsis:

This acclaimed book examines the topic of symbolic integration in comprehensive detail, incorporating new results along the way. The second edition offers a new chapter on parallel integration, and a number of other improvements including additional exercises.

Synopsis:

First edition received rave reviews The second edition offers a new chapter on parallel integration Includes additional exercises  

Table of Contents

Preface.- Algebraic Preliminaries.- Integration of Rational Functions.- Differential Fields.- The Order Function.- Integration of Transcendental Functions.- The Risch Differential Equations.- Parametric Problems.- The Coupled Differential System.- Structure Theorems; References.- Index.- Plus Chapter on Risch-Noman Algorithm.

Product Details

ISBN:
9783540214939
Author:
Bronstein, Manuel
Publisher:
Springer
Subject:
Computer Science
Subject:
Mathematical Analysis
Subject:
Algebra - General
Subject:
Subresultanten
Subject:
symbolic integration
Subject:
Symbolische Algorithmen
Subject:
Symbolische Integration
Subject:
subresultants
Subject:
symbolic algorithms
Subject:
Algebra
Subject:
Analysis
Subject:
Symbolic and Algebraic Manipulation
Subject:
Algorithms
Subject:
Mathematics - Algebra
Copyright:
Edition Number:
2
Edition Description:
2nd ed. 2005
Series:
Algorithms and Computation in Mathematics
Series Volume:
1
Publication Date:
20041214
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
342
Dimensions:
235 x 155 mm 1450 gr

Related Subjects

Computers and Internet » Computers Reference » General
Computers and Internet » Personal Computers » General
Science and Mathematics » Chemistry » Chemical Engineering
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics

Algorithms and Computation in Mathematics #1: Symbolic Integration I New Hardcover
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Product details 342 pages Springer-Verlag - English 9783540214939 Reviews:
"Synopsis" by , 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

"Synopsis" by , This acclaimed book examines the topic of symbolic integration in comprehensive detail, incorporating new results along the way. The second edition offers a new chapter on parallel integration, and a number of other improvements including additional exercises.
"Synopsis" by , First edition received rave reviews The second edition offers a new chapter on parallel integration Includes additional exercises  
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