2003/03/06 chapter 3 1頁1頁 chapter 4 : integration in the complex plane 4.1 introduction to line...

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2003/03/06 Chapter 3 1頁 Chapter 4 : Integration in the Complex Plane 4.1 Introduction to Line Integration

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Page 1: 2003/03/06 Chapter 3 1頁1頁 Chapter 4 : Integration in the Complex Plane 4.1 Introduction to Line Integration

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Chapter 4 : Integration in the Complex Plane

4.1 Introduction to Line Integration

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4.2 Complex Line Integration

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ta

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Bounds on Line Integrals; the “ML” Inequlity

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4.3 Contour Integration and Green’s Theorem

Piecewise Smooth Curves = Contours

Closed Contour

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See Appendix for proofs !

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4.4 Path Independence & Indefinite Integrals

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4.5 Cauchy Integral Formula & Its Extension

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Choose ~ 0

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= 0

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