Cauchy's Theorem and Theorem of Residues

http://www.avidsynergy.com/pdf/CauchyTheoremAndResiduesTheorem.pdf

Notes on Taylor and Maclaurin series derivation

http://www.avidsynergy.com/pdf/taylor_series.pdf

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Buffon's needle problem

http://www.avidsynergy.com/pdf/Buffon_needle.pdf

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Note on mathematical induction

http://www.avidsynergy.com/pdf/math_induction.pdf

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Note on matrix of rotation

http://www.avidsynergy.com/pdf/rotation_matrix.pdf

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On the vector triple product U×(V×W)

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Arctan(x) and the improper integral of Sin(x)/x

http://www.avidsynergy.com/pdf/Sin_mx_over_x_Exp_minus_ax_integral.pdf

Solving the integral ∫exp(ax)cos(µx)dx in (0,∞)

http://www.avidsynergy.com/pdf/IntegrationOf_Exp_aXCos_mX.pdf

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Solving the integrals ∫exp(ax)cos(x)dx and ∫exp(ax)sin(x)dx

http://www.avidsynergy.com/pdf/IntegrationOfExpXCosXandExpXSinX.pdf

Arctan(x) derivative

http://www.avidsynergy.com/pdf/arctan_derivative.pdf

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