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1、MATHEMATICSFORCOMPUTERGRAPHICSJohnVinceMathematicsforComputerGraphicsSecondEditionWith175IllustrationsJohnVince,MTech,PhD,DSc,FBCS,CEngMediaSchool,UniversityofBournemouth,TalbotCampus,FernBarrow,PooleBH125BB,UKLibraryofCongressControlNumber:2005928172ISBN-10:1-84628-034-6ISBN-1
2、3:978-1-84628-034-4ISBN1-85233-380-41steditionPrintedonacid-freepaper.cSpringer-VerlagLondonLimited2006Apartfromanyfairdealingforthepurposesofresearchorprivatestudy,orcriticismorreview,asper-mittedundertheCopyright,DesignsandPatentsAct1988,thispublicationmayonlybereproduced,st
3、oredortransmitted,inanyformorbyanymeans,withthepriorpermissioninwritingofthepublish-ers,orinthecaseofreprographicreproductioninaccordancewiththetermsoflicencesissuedbytheCopyrightLicensingAgency.Enquiriesconcerningreproductionoutsidethosetermsshouldbesenttothepublishers.Theuseo
4、fregisterednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantlawsandregulationsandthereforefreeforgeneraluse.Thepublishermakesnorepresentation,expressorimplied,withregardtotheaccuracyoftheinfor-mationcont
5、ainedinthisbookandcannotacceptanylegalrepsonsibilityorliabilityforanyerrorsoromissionsthatmaybemade.PrintedintheUnitedStatesofAmerica.(SPI/MVY)987654321SpringerScience+BusinessMediaspringeronline.comDedicationIdedicatethisbooktomywifeAnnie,whohashadtotolerateayearofmereadingmat
6、hbooksinbed,onplanes,boats,trains,inhotels,inthegarden,inthebath,onholiday,andprobablyinmysleep!ContentsPrefacexiii1Mathematics11.1IsMathematicsDifficult?.....................21.2WhoshouldReadthisBook?...................21.3AimsandObjectivesofthisBook................31.4Assumptio
7、nsMadeinthisBook.................31.5HowtoUsetheBook.......................32Numbers52.1NaturalNumbers.........................52.2PrimeNumbers..........................62.3Integers...............................62.4RationalNumbers.........................62.5IrrationalNumbers.
8、.......................62.6RealNumbers................
