视频选集 01_ Overview & Motivation, Complex Arithmetic, Euler_s Formula 02_ Euler_s formula, one of the most important formulas in all of mathematics 03_ Functions of a complex variable, f(z) 04_ The Complex Logarithm, Log(z) 05_ Roots of Unity and Rational Powers of z 06_ Analytic Functions and Cauchy-Riemann Conditions 07_ Analytic Functions Solve Laplace_s Equation 08_ Integrals in the Complex Plane 09_ Complex Residues 10_ Cauchy Integral Formula 11_ Examples of Cauchy-Integral Formula 12_ Examples of Complex Integrals 13_ Bromwich Integrals and the Inverse Laplace Transform