2006 The Handbook of Essential Mathematics.pdf

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2、elease:DistributionUnlimitedTheHandbookofEssentialMathematicsAirForcePublication2006ForPublicRelease:DistributionUnlimited2ForwardWright-PattersonAirForceBase(WPAFB)hasenjoyedalengthyanddistinguishedhistoryofservingtheGreater-Daytoncommunityinavarietyofways.Oneofthesewaysisthr

3、oughtheWPAFBEducationalOutreach(EO)Program,forwhichtheAirForceResearchLaboratory(AFRL)isaproudandcontinuoussupporter,providingbothtechnicalexpertise(fromover2000practicingscientistsandengineers)andongoingresourcesforthevariousprogramssponsoredbytheWPAFBEducationalOutreach.Them

4、issionoftheWPAFBEOprogramisToformlearningpartnershipswiththeK-12educationalcommunityinordertoincreasestudentawarenessandexcitementinallfieldsofmath,science,aviation,andaerospace;ultimatelydevelopingournation’sfuturescientificandtechnicalworkforce.Insupportofthismission,theWPAF

5、BEOaspirestobethebestone-stopresourceforencouragementandenhancementofK-12science,mathandtechnologyeducationthroughouttheUnitedStatesAirForce.ItisinthisspiritthatAFRLoffersTheHandbookofEssentialMathematics,acompendiumofmathematicalformulasandotherusefultechnicalinformationthatw

6、illwellservebothstudentsandteachersalikefromearlygradesthroughearlycollege.ItisoursincerehopethatyouwillusethisresourcetoeitherfurtheryourowneducationortheeducationofthosefuturescientistsandengineerssovitaltopreservingourcherishedAmericanfreedoms.LESTERMCFAWN,SESExecutiveDirec

7、torAirForceResearchLaboratory3IntroductionFormulas!Theyseemtobethebaneofeverybeginningmathematicsstudentwhohasyettorealizethatformulasareaboutstructureandrelationship—andnotaboutmemorization.Granted,formulashavetobememorized;for,itispartlythroughmemorizationthatweeventuallybec

8、ome‘unconsciouslycompetent’:atruemasterofourskill,practicingi