terence tao-solving mathematical problems_ a personal perspective-oxford university press, usa (2006)

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1、SolvingMathematicalProblemsThispageintentionallyleftblankSolvingMathematicalProblemsAPersonalPerspectiveTerenceTaoDepartmentofMathematics,UCLA,LosAngeles,CA9009513GreatClarendonStreet,OxfordOX26DPOxfordUniversityPressisadepartmentoftheUniversityofOxford.Itf

2、urtherstheUniversity’sobjectiveofexcellenceinresearch,scholarship,andeducationbypublishingworldwideinOxfordNewYorkAucklandCapeTownDaresSalaamHongKongKarachiKualaLumpurMadridMelbourneMexicoCityNairobiNewDelhiShanghaiTaipeiTorontoWithofficesinArgentinaAustriaB

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4、sityPressInc.,NewYork©TerenceTao,2006ThemoralrightsoftheauthorhavebeenassertedDatabaserightOxfordUniversityPress(maker)Firstpublished2006Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmitted,inanyformorbyanymeans,wi

5、thoutthepriorpermissioninwritingofOxfordUniversityPress,orasexpresslypermittedbylaw,orundertermsagreedwiththeappropriatereprographicsrightsorganization.EnquiriesconcerningreproductionoutsidethescopeoftheaboveshouldbesenttotheRightsDepartment,OxfordUniversit

6、yPress,attheaddressaboveYoumustnotcirculatethisbookinanyotherbindingorcoverandyoumustimposethesameconditiononanyacquirerBritishLibraryCataloguinginPublicationDataDataavailableLibraryofCongressCataloginginPublicationDataDataavailableTypesetbyNewgenImagingSys

7、tems(P)Ltd.,Chennai,IndiaPrintedinGreatBritainonacid-freepaperbyBiddlesLtd.,King’sLynn,NorfolkISBN0–19–920561–2978–0–19–920561–5ISBN0–19–920560–4978–0–19–920560–8(Pbk.)10987654321Dedicatedtoallmymentors,whotaughtmethemeaning(andjoy)ofmathematics.Thispageint

8、entionallyleftblankContentsPrefacetothefirsteditionviiiPrefacetothesecondeditionxi1Strategiesinproblemsolving12Examplesinnumbertheory93Examplesinalgebraandanalysis354Euclideangeometry495Analyticgeometry