Needham, Chapter 3 Exercises for Prologue and Act 1, — PDF files with figures and answers for exercises

The figures and exercises in this list pertain to Visual Differential and Forms (2021) by Tristan Needham. The answers are my own and they are not endorsed by the author of Visual Complex Analysis. Current discussions of the book and the exercises appear on Vasco's forum. The answers linked there are in general more consistent and reliable. I consult them frequently in my own studies.

  1. Use Newton's method and "ultimately equal" symbol to find derivative of cube (PDF)
  2. Use Newton's method to find derivatives of sign and cosine (PDF)
  3. Newton's method applied to area under line in Quarter I (PDF)
  4. In progress ()
  5. Euclid's forumla for Pythagorean triples (PDF)
  6. Angular excess of shrinking triangle on sphere (PDF)
  7. Great circle as perpendicular bisector (PDF)
  8. Triangle of sides < Pi confined to hemisphere> (PDF)
  9. Icosahedron and Dodecahedrom projected to sphere (PDF)
  10. Angular excess of generalized geodesic n-gon (PDF)
  11. Geodesics on a vase (PDF)
  12. Geodesics on a cone (PDF)
  13. Positive curvature, in progress
  14. Negative curvature on pseudosphere (PDF)
Last modified on December 16, 2021.

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