[emuch.net]ebooksclub.org__acm01_symbolic_integration_i__transcendental_functions__second_edition__algorithms_and_computation_in_mathematics_

《[emuch.net]ebooksclub.org__acm01_symbolic_integration_i__transcendental_functions__second_edition__algorithms_and_computation_in_mathematics_》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、AlgorithmsandComputationinMathematics®VolumeiEditorsManuelBronsteinArjehM.CohenHenriCohenDavidEisenbudBerndSturmfelsManuelBronsteinSymbolicIntegrationITranscendentalFunctionsSecondEdition^SpririneerManuelBronsteinINRIA2004routedesLucioles-B.P.9306902SophiaAntipolisCedex,F

2、rancee-mail:ManueI.Bronstein@sophia.inria.frMathematicsSubjectClassification(2000):12F20,12H05,12Y05,13N15,28-04,33B10,33F10,68W30LibraryofCongressControlNumber:2004110974ISSN1431-1550ISBN3-540-21493-3SpringerBerlinHeidelbergNewYorkISBN3-540-60521-5isteditionSpringer-Verl

3、agBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks

4、.DupficationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpring

5、erScience+BusinessMediaspringeronline.com©Springer-VerlagBerlinHeidelberg2005PrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantpro•tectivel

6、awsandregulationsandthereforefreeforgeneraluse.Typesetting:bytheauthorusingaSpringerKTgXmacropackageProduction:LE-TEXJelonek,Schmidt&VöcklerGbR,LeipzigCoverdesign:design&productionGmbH,HeidelbergPrintedonacid-freepaper46/3142YL-543210ForewordThisbookbringstogethertwostrea

7、msofresearchinmathematicsandcom•putingthatwerebeguninthenineteenthcenturyandmadepossiblethroughresultsbroughttofruitioninthetwentiethcentury.Methodsforindefiniteintegrationhavebeenimportanteversincethein•ventionofthecalculusinthe1700s.Inthe1800sAbelandLiouvillebegantheear

8、liestmathematicalresearchonalgorithmicmethodsonintegrationinfinitetermsleadingtowhatmightbeconsi