Needham, Chapter 9, 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.9, Ex. 1. Change real integral to contour (PDF)
  2. Ch.9, Ex. 2. Liouville's Theorem (PDF)
  3. Ch.9, Ex. 3. Binomial residue from Laurent series (PDF)
  4. Ch.9, Ex. 4. Legendre Polynomials (PDF)
  5. Ch.9, Ex. 5. Contour integral with residues (PDF)
  6. Ch.9, Ex. 6. Contour integral on Upper Half Plane (PDF)
  7. Ch.9, Ex. 7. More contour integrals on UHP (PDF)
  8. Ch.9, Ex. 8. Contour integral of 1/(1+z^n) on UHP (PDF)
  9. Ch.9, Ex. 9. Contour integral of 1/(1+z^n) on Wedge (PDF)
  10. Ch.9, Ex. 10. Residues and sums for (1/z^4)cot(pi z) (PDF)
  11. Ch.9, Ex. 11. Residues and sums for f(z)csc(pi z), theory (PDF)
  12. Ch.9, Ex. 12. Residues and sums for f(z)csc(pi z), practical (PDF)
  13. Ch.9, Ex. 13. Rewriting equations (PDF)
Notes
  1. Ch. 9, Notes (PDF)

Last modified on January 2, 2018.

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

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