Transcription of Mathematical Formula Handbook
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Mathematical Formula Handbook
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'.
document issued by the Department of Engineering, but obviously reects the particular interests of physicists. There was discussion as to whether it should also include physical formulae such as Maxwell’s equations, etc., but
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