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1、.$-0-L.bJVAOTHEJOYOFMATHEMTICSDiscoveringMathematicsAllAroundYounipappasZZZ•xnature*science*architecture*arthistory*literature*philosophy*musicWideWorldPublishing/TetraCopyrighti1986,1987,1989byTheoniPappas.Allrightsreserved.Nopartofthisworkmaybereproducedorcopied
2、inanyformorbyanymeanswithoutwrittenpermissionfromWideWorldPublishing/Tetra.RevisedEdition19891stPrinting19862ndPrinting19873rdPrintingMay19894thPrintingSeptember19895thPrintingMarch19906thPrintingSeptember19907thPrintingMay19918thPrintingSeptember19919thPrintingDecember199110t
3、hPrintingJuly199211thPrintingApril199312thPrintingDecember199313thPrintingOctober1994WideWorldPublishing/TetraP.O.Box476SanCarlos,CA94070PrintedinTheUnitedStatesofAmericaISBN:0-933174-65-9LibraryofCongressCataloging-in-PublicationDataPappas,Theoni.TheJoyofMathematics/byTheoniP
4、appas.--Rev.ed.p.cm.Includesindex.ISBN:0-933174-65-9:$10.951.Mathematics--Popularworks.1.Title.QA93.P3651989510--dc2O89-16503CIPIhopethisbookwillserveasanintroductiontosomeofthemanydiversifiedfacetsofmathematics,andthatthereaderwillbeencouragedtoexploreingreaterdepththeideaspr
5、esented.-TheoniPappas"..theuniversestandscontinuallyopentoourgaze,butitcannotbeunderstoodunlessonefirstlearnstocomprehendthelanguageandinterpretthecharactersinwhichitiswritten.Itiswritteninthelanguageofmathematics,anditscharactersaretriangles,circles,andothergeometricfigures,w
6、ithoutwhichitishumanlyimpossibletounderstandasinglewordofit;withoutthese,oneiswanderingaboutinadarklabyrinth."-GalileoINTRODUCTIONTheJoyOfMathematicsandMoreJoyofMathematicsunveilconcepts,ideas,questions,history,problems,andpastimeswhichrevealtheinfluenceandnatureofmathematics.
7、Toexperiencethejoyofmathematicsistorealizemathematicsisnotsomeisolatedsubjectthathaslittlerelationshiptothethingsaroundusotherthantofrustrateuswithunbalancedcheckbooksandcomplicatedcomputations.Fewgraspthetruenatureofmathematics-soentwinedinourenvironmentandinourlives.Somanyth
8、ingsarounduscanbedescribedbymathematics.Mathematicalconceptsa