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1、MathematicalFormulasforEconomistsBerndLuderer·VolkerNollauKlausVettersMathematicalFormulasforEconomistsThirdEditionWith62Figuresand6Tables123ProfessorDr.BerndLudererChemnitzUniversityofTechnologyDepartmentofMathematicsReichenhainerStra?e4109126ChemnitzGermanybernd.luderer@mathematik.tu-ch
2、emnitz.deProfessorDr.VolkerNollauDr.KlausVettersDresdenUniversityofTechnologyDepartmentofMathematicsandScienceZellescherWeg12-1401069DresdenGermanynollau@math.tu-dresden.devetters@math.tu-dresden.deLibraryofCongressControlNumber:2006934208ISBN-103-540-46901-XSpringerBerlinHeidelbergNewYor
3、kISBN-13978-3-540-46901-8SpringerBerlinHeidelbergNewYorkISBN3-540-27916-42ndEditionSpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,b
4、road-casting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.Violationsareliabletoprosec
5、utionundertheGermanCopyrightLaw.SpringerispartofSpringerScience+BusinessMediaspringer.com?Springer-VerlagBerlinHeidelberg2002,2005,2007Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfr
6、omtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Production:LE-TEXJelonek,Schmidt&V¨ocklerGbR,LeipzigCover-design:ErichKirchner,HeidelbergSPIN1189841243/3100YL-543210Printedonacid-freepaperPrefaceThiscollectionofformulasconstitutesacompendiumofmathematicsforeco-nomic
7、sandbusiness.Itcontainsthemostimportantformulas,statementsandalgorithmsinthissigni?cantsub?eldofmodernmathematicsandaddressesprimarilystudentsofeconomicsorbusinessatuniversities,collegesandtradeschools.Butpeopledealingwithpracticalorappliedproblemswillalso?ndthiscol
