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1、ASHORTACCOUNTOFTHEHISTORYOFMATHEMATICSBYW.W.ROUSEBALLFELLOWOFTRINITYCOLLEGE,CAMBRIDGEDOVERPUBLICATIONS,INC.NEWYORKThisnewDoveredition,rstpublishedin1960,isanunabridgedandunalteredrepublicationoftheauthor'slastrevision
2、thefourtheditionwhichappearedin1908
3、.InternationalStandardBookNumber:0-486-20630-0LibraryofCongressCatalogCardNumber:60-3187ManufacturedintheUnitedStatesofAmericaDoverPublications,Inc.180VarickStreetNewYork,N.Y.10014ProducedbyGregLindahl,Viv,JulietSutherland,NigelBlowerandtheOnlineDistribu
4、tedProofreadingTeamathttp://www.pgdp.netTranscriber'sNotesAsmallnumberofminortypographicalerrorsandinconsistencieshavebeencorrected.Referencestoguressuchasonthenextpage"havebeenre-placedwithtextsuchasbelow"whichismoresuitedtoaneBook.Suchchangesaredocu
5、mentedintheLATEXsource:%[**TN:textofnote]PREFACE.Thesubject-matterofthisbookisahistoricalsummaryofthedevelopmentofmathematics,illustratedbythelivesanddiscoveriesofthosetowhomtheprogressofthescienceismainlydue.Itmayserveasanintroductiontomoreelaboratework
6、sonthesubject,butprimarilyitisintendedtogiveashortandpopularaccountofthoseleadingfactsinthehistoryofmathematicswhichmanywhoareunwilling,orhavenotthetime,tostudyitsystematicallymayyetdesiretoknow.Thersteditionwassubstantiallyatranscriptofsomelectureswhic
7、hIdeliveredintheyear1888withtheobjectofgivingasketchofthehistory,previoustothenineteenthcentury,thatshouldbeintelli-gibletoanyoneacquaintedwiththeelementsofmathematics.Inthesecondedition,issuedin1893,Irearrangedpartsofit,andintroducedagooddealofadditiona
8、lmatter.Theschemeofarrangementwillbegatheredfromthetableofcon-tentsattheendofthispreface.Shortlyitisasfollows.Therstchaptercontainsabriefstatementofwhatisknownconcerningthemathemat-icsoftheEgyptiansandPhoenicians;thisisintroductorytothehistoryofmathemat
9、icsunderGreekin
uence.Thesubsequenthistoryisdi-videdintothreeperiods:rst,thatunderGreekin
uence,chaptersiitovii;second,thatofthemiddleagesandrenaissance,chaptersviiitoxiii;andlastlythatofmoderntimes,chaptersxivtoxix.Indis