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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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Presentation on theme: "2003/03/06 Chapter 3 1頁1頁 Chapter 4 : Integration in the Complex Plane 4.1 Introduction to Line Integration."— Presentation transcript:

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

2 2003/03/06 Chapter 3 2頁2頁

3 2003/03/06 Chapter 3 3頁3頁

4 2003/03/06 Chapter 3 4頁4頁

5 2003/03/06 Chapter 3 5頁5頁

6 2003/03/06 Chapter 3 6頁6頁

7 2003/03/06 Chapter 3 7頁7頁

8 2003/03/06 Chapter 3 8頁8頁

9 2003/03/06 Chapter 3 9頁9頁

10 2003/03/06 Chapter 3 10 頁

11 2003/03/06 Chapter 3 11 頁

12 2003/03/06 Chapter 3 12 頁

13 2003/03/06 Chapter 3 13 頁 4.2 Complex Line Integration

14 2003/03/06 Chapter 3 14 頁

15 2003/03/06 Chapter 3 15 頁

16 2003/03/06 Chapter 3 16 頁

17 2003/03/06 Chapter 3 17 頁

18 2003/03/06 Chapter 3 18 頁 ta tb

19 2003/03/06 Chapter 3 19 頁 Bounds on Line Integrals; the “ML” Inequlity

20 2003/03/06 Chapter 3 20 頁

21 2003/03/06 Chapter 3 21 頁

22 2003/03/06 Chapter 3 22 頁 4.3 Contour Integration and Green’s Theorem Piecewise Smooth Curves = Contours Closed Contour

23 2003/03/06 Chapter 3 23 頁

24 2003/03/06 Chapter 3 24 頁

25 2003/03/06 Chapter 3 25 頁 See Appendix for proofs !

26 2003/03/06 Chapter 3 26 頁

27 2003/03/06 Chapter 3 27 頁

28 2003/03/06 Chapter 3 28 頁

29 2003/03/06 Chapter 3 29 頁

30 2003/03/06 Chapter 3 30 頁

31 2003/03/06 Chapter 3 31 頁

32 2003/03/06 Chapter 3 32 頁

33 2003/03/06 Chapter 3 33 頁

34 2003/03/06 Chapter 3 34 頁

35 2003/03/06 Chapter 3 35 頁

36 2003/03/06 Chapter 3 36 頁

37 2003/03/06 Chapter 3 37 頁

38 2003/03/06 Chapter 3 38 頁 4.4 Path Independence & Indefinite Integrals

39 2003/03/06 Chapter 3 39 頁

40 2003/03/06 Chapter 3 40 頁

41 2003/03/06 Chapter 3 41 頁

42 2003/03/06 Chapter 3 42 頁 4.5 Cauchy Integral Formula & Its Extension

43 2003/03/06 Chapter 3 43 頁

44 2003/03/06 Chapter 3 44 頁 Choose  ~ 0

45 2003/03/06 Chapter 3 45 頁 = 0

46 2003/03/06 Chapter 3 46 頁

47 2003/03/06 Chapter 3 47 頁

48 2003/03/06 Chapter 3 48 頁

49 2003/03/06 Chapter 3 49 頁

50 2003/03/06 Chapter 3 50 頁


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