utm marsdenweinstein calculus i _2nd 1985 0387909745

《utm marsdenweinstein calculus i _2nd 1985 0387909745》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、nandAlanWeinsteinhmetuFormulasAreaofrectangle'4=IwAreaofcircleA=ar2AreaoftriangleA=ibhSurfaceAreaofsphereA=4ar2LateralSurfaceAreaofcylinderA=2vrhVolumeofboxV=lwhVolumeofsphereV=4rr3VolumeofcylinderV=.irr2hVolumeofconeV=f(areaofbase)x(height)TrigonometricIdentitiesPythagoreancos28+sin2

2、@=1,1+tan2@=sec2B,cot2@+1=csc2@Paritysin(-8)=-sin8,cos(-@)=cos8,tan(-8)=-tan0CSC(-8)=-csc@,sec(-8)=sec8,cot(-8)=-cot@Co-relarrons,cscB=sec(;--BAdditionformulassin(@+$)=sin@cos@+cosb,sin@sin(@-@)=sin8cos@-cos8sinQcos(8+Q)=cos8cosQ-sin8sin@cos(0-@)=cos0cos@+sin@sinQ(tan06tan+)tan(@+Q)=(

3、I-tangtan+)(tan8-tan$2tan(8-Q)=(1+tan8tan@)sin28=2sin0cos@cos28=cos2@-sin2@=2cos2@-1=I-2sin2@2tan@tan28=(I-tan2@)Nay-angleformulas2@-1+cos0orcos2@=1+cos28cos-----------222tan-8=sin8------------I-COSBortan8=--1-cos2821+cos@sin@sin28Productformulas1sinBsincp=-(cos(8-@)-cos(8+@)I21cosBco

4、scp=-[cos(8++)+cos(8-cp)]2sin@cos+=1[sin($+@)+sin(@-@)I2Copyright1985Springer-Verlag.Allrightsreserved.Derivativesdcosh-'u1du31.E--dxJ7-Zdxdtanh-'u-1du32.dx1-U2dxContinuedonoverleaf.Copyright1985Springer-Verlag.Allrightsreserved.UndergraduateTextsinMathematicsAnglin:Mathematics:AConci

5、seHistoryDevlin:TheJoyofSets:FundamentalsandPhilosophy.ofContemporarySetTheory.ReadingsinMathematics.Secondedition.Anglidambek:TheHeritageofDixmier:GeneralTopology.Thales.Driver:WhyMath?ReadingsinMathematics.Ebbinghaus/Flum/rhomas:Apostol:IntroductiontoAnalyticMathematicalLogic.Second

6、edition.NumberTheory.Secondedition.Edgar:Measure,Topology,andFractalArmstrong:BasicTopology.Geometry.Armstrong:GroupsandSymmetry.Elaydi:IntroductiontoDifferenceAxler:LinearAlgebraDoneRight.Equations.Secondedition.Exner:AnAccompanimenttoHigherBeardon:Limits:ANewApproachtoMathematics.Re

7、alAnalysis.Finmosenberger:TheFundamentalBa~ewman:ComplexAnalysis.TheoryofAlgebra.Secondedition.Fischer:IntermediateRealAnalysis.Banchowermer:LinearAlgebraFlanigaaazdan:CalculusTwo:LinearThroughGeometry.Secofidedition.andNonlinearFunctions.SecondBerberian:AFirstCourseinRealedition.Anal

8、ysis.