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ShowBL > 复分析 Complex Analysis Steven Bruntun
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复分析 Complex Analysis Steven Bruntun - 08_ Integrals in the Complex Plane

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01_ Overview & Motivation, Complex Arithmetic, Euler_s Formula

01_ Overview & Motivation, Complex Arithmetic, Euler_s Formula

02_ Euler_s formula, one of the most important formulas in all of mathematics

02_ Euler_s formula, one of the most important formulas in all of mathematics

03_ Functions of a complex variable, f(z)

03_ Functions of a complex variable, f(z)

04_ The Complex Logarithm, Log(z)

04_ The Complex Logarithm, Log(z)

05_ Roots of Unity and Rational Powers of z

05_ Roots of Unity and Rational Powers of z

06_ Analytic Functions and Cauchy-Riemann Conditions

06_ Analytic Functions and Cauchy-Riemann Conditions

07_ Analytic Functions Solve Laplace_s Equation

07_ Analytic Functions Solve Laplace_s Equation

08_ Integrals in the Complex Plane

08_ Integrals in the Complex Plane

09_ Complex Residues

09_ Complex Residues

10_ Cauchy Integral Formula

10_ Cauchy Integral Formula

11_ Examples of Cauchy-Integral Formula

11_ Examples of Cauchy-Integral Formula

12_ Examples of Complex Integrals

12_ Examples of Complex Integrals

13_ Bromwich Integrals and the Inverse Laplace Transform

13_ Bromwich Integrals and the Inverse Laplace Transform

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