Needham, Chapter 8, Visual Complex Analysis—PDF files with notes, figures, and some answers for exercises

The figures in this list pertain to Visual Complex Analysis (1997) by Tristan Needham. The illustrations pertain to suggested exercises in the text, to exercises at ends of chapters, and to ideas suggested by the text. In a some cases, they are attempts to reproduce figures found in the text. See also the animated demos. Both the figures and demos are plotted with Mathematica 10.

Some answers to exercises are provided without figures. The answers are my own and they are not endorsed by the author of Visual Complex Analysis. The answers in the archives of Vasco are in general more consistent and reliable. I have consulted them frequently in my own studies. Current discussions of the book and the exercises appear on Vasco's forum.

1. Ch.8, Ex. 1. Error in Complex Integral (PDF)
2. Ch.8, Ex. 2. Quotient area under chord over area under tangent on f [UNFINISHED] (PDF)
3. Ch.8, Ex. 3. Total error: trapezoidal and RM (PDF)
4. Ch.8, Ex. 4. Integrals of 1/z on loops (PDF)
5. Ch.8, Ex. 5. Contour integral on square (PDF)
6. Ch.8, Ex. 6. Contour integral of z^m (PDF)
7. Ch.8, Ex. 7. Derivation and contour integral of epicycloid (PDF)
8. Ch.8, Ex. 8. Area integrals for disc, ellipse, quarter disc, triangle (PDF)
9. Ch.8, Ex. 9. Area integrals for open contours (PDF)
10. Ch.8, Ex. 10. Area integrals, winding numbers (PDF)
11. Ch.8, Ex. 11. Integral of f on circle of radius > 1. (PDF)
12. Ch.8, Ex. 12. Laurent series integrals. (PDF)
13. Ch.8, Ex. 13. Integrals on partial decompositions. (PDF)
14. Ch.8, Ex. 14. Integrals on partial decompositions. (PDF)
15. Ch.8, Ex. 15. Integrate (exp ax cos bx) and (exp ax i sin bx) (PDF)
16. Ch.8, Ex. 16. Integrate z exp iz by parts on theta (PDF)
17. Ch.8, Ex. 17. Integrate product of power of cos and sin (PDF)
18. Ch.8, Ex. 18. Integrate ellipse (PDF)
19. Ch.8, Ex. 19. Verify Moebius from vanishing derivative (PDF)
20. Ch.8, Ex. 20. Integrals on fragments in contour (PDF)
21. Ch.8, Ex. 21. Error of Riemann integrals (PDF)
22. Ch.8, Ex. 22. Riemann integrals and Taylor's series (PDF)
23. Ch.8, Ex. 23. Riemann integrals prove similar triangles (PDF)
24. Ch.8, Ex. 24. Cauchy's Residue Theorem (PDF)
25. Ch.8, Ex. 25. Area of series (PDF)
26. Ch.8, Ex. 26. GAP for rational functions (PDF)

1. Ch. 8, Notes (PDF)

My email address has no duplicates, spaces, or special characters except "@". Add "gmail".

# g ! pp && aa l + m * er % lv