Number Theory for Mathematical Contests

Number Theory for Mathematical Contests

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时间:2019-08-06

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1、NumberTheoryforMathematicalContestsDavidA.SANTOSdsantos@ccp.eduOctober31,2007REVISIONCopyrightc2007DavidAnthonySANTOS.Permissionisgrantedtocopy,distributeand/ormodifythisdocumentunderthetermsoftheGNUFreeDocumentationLicense,Version1.2oranylaterversionpublishedbytheFreeSoftwareFoundation;wi

2、thnoInvariantSections,noFront-CoverTexts,andnoBack-CoverTexts.Acopyofthelicenseisincludedinthesectionentitled“GNUFreeDocumentationLicense”.GNUFreeDocumentationLicenseVersion1.2,November2002Copyrightc2000,2001,2002FreeSoftwareFoundation,Inc.51FranklinSt,FifthFloor,Boston,MA02110-1301USAEver

3、yoneispermittedtocopyanddistributeverbatimcopiesofthislicensedocument,butchangingitisnotallowed.PreambleThepurposeofthisLicenseistomakeamanual,textbook,orotherfunctionalandusefuldocument“free”inthesenseoffreedom:toassureeveryonetheeffectivefreedomtocopyandredistributeit,withorwithoutmodify

4、ingit,eithercommerciallyornoncommercially.Secondarily,thisLicensepreservesfortheauthorandpublisherawaytogetcreditfortheirwork,whilenotbeingconsideredresponsibleformodificationsmadebyothers.ThisLicenseisakindof“copyleft”,whichmeansthatderivativeworksofthedocumentmustthemselvesbefreeinthesame

5、sense.ItcomplementstheGNUGeneralPublicLicense,whichisacopyleftlicensedesignedforfreesoftware.WehavedesignedthisLicenseinordertouseitformanualsforfreesoftware,becausefreesoftwareneedsfreedocumentation:afreeprogramshouldcomewithmanualsprovidingthesamefreedomsthatthesoftwaredoes.ButthisLicens

6、eisnotlimitedtosoftwaremanuals;itcanbeusedforanytextualwork,regardlessofsubjectmatterorwhetheritispublishedasaprintedbook.WerecommendthisLicenseprincipallyforworkswhosepurposeisinstructionorreference.1.APPLICABILITYANDDEFINITIONSThisLicenseappliestoanymanualorotherwork,inanymedium,thatcont

7、ainsanoticeplacedbythecopyrightholdersayingitcanbedistributedunderthetermsofthisLicense.Suchanoticegrantsaworld-wide,royalty-freelicense,unlimitedinduration,tousethatworkundertheconditionsstatedherein.The“Document”,below,referstoanysuchmanualorwork.Anymemberof

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