000 04335nam a22005535i 4500
001 978-3-540-26842-0
003 DE-He213
005 20161121230932.0
007 cr nn 008mamaa
008 100301s2005 gw | s |||| 0|eng d
020 _a9783540268420
_9978-3-540-26842-0
024 7 _a10.1007/b138171
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
100 1 _aBronstein, Manuel.
_eauthor.
245 1 0 _aSymbolic Integration I
_h[electronic resource] :
_bTranscendental Functions /
_cby Manuel Bronstein.
250 _aSecond Edition.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2005.
300 _aXV, 325 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAlgorithms and Computation in Mathematics,
_x1431-1550 ;
_v1
505 0 _aAlgebraic 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.
520 _aThis 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.
650 0 _aMathematics.
650 0 _aComputers.
650 0 _aComputer science
_xMathematics.
650 0 _aAlgebra.
650 0 _aMathematical analysis.
650 0 _aAnalysis (Mathematics).
650 0 _aAlgorithms.
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
650 2 4 _aAlgebra.
650 2 4 _aTheory of Computation.
650 2 4 _aSymbolic and Algebraic Manipulation.
650 2 4 _aAlgorithms.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540214939
830 0 _aAlgorithms and Computation in Mathematics,
_x1431-1550 ;
_v1
856 4 0 _uhttp://dx.doi.org/10.1007/b138171
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c506115
_d506115