Transcription of Mathematical Formula Handbook - 國立臺灣大學
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Mathematical Formula Handbook - 國立臺灣大學
ContentsIntroduction..1 Bibliography; ..2 ArithmeticandGeometricprogressions;Conve rgenceof series:theratiotest;Convergenceof series:thecomparisontest;Binomialexpansi on;TaylorandMaclaurinSeries;Powerseriesw ithrealvariables;Integerseries; ..3 Scalarproduct; Equationof a line; Equationof a plane; Vectorproduct; Scalartripleproduct;Vectortripleproduct; Non-orthogonalbasis; ..5 Unitmatrices;Products; Transposematrices; Inversematrices;Determinants; 2 2 matrices;Productrules; Orthogonalmatrices;Solvingsetsof linearsimultaneousequations; Hermitianmatrices;Eigenvaluesandeigenvec tors;Commutators;Hermitianalgebra; ..7 Notation; Identities;Grad,Div, CurlandtheLaplacian; Transformationof ..9 Complexnumbers; DeMoivre's theorem; ..10 Relationsbetweensidesandanglesof anyplanetriangle;Relationsbetweensidesan danglesof ..11 Relationsof thefunctions; ..13 Standardforms;Standardsubstitutions; Integrationbyparts;Differentiationof anintegral;Dirac -`function'.
Introduction This Mathematical Formaulae handbook has been prepared in response to a request from the Physics Consultative Committee, with the hope that it will be useful to those studying physics.
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