Squigonometry: The Study of Imperfect Circles (Paperback)

1. Introduction.- 2. Imperfection.- 3. A Squigonometry Introduction.- 4. p-metrics.- 5. Inverse squigonometric functions.- 6. The many values of Pi.- 7. Parametrizations.- 8. Arclength Parametrization.- 9. Integrating Squigonometric Functions.- 10. Three applications.- 11. Infinite series.- 12. Series and rational approximations.- 13. Alternate Coordinates.- 14. Hyperbolic Functions.- 15. Exponentials and Logarithms.- 16. Elliptic Integrals.- 17. Lemniscates and Ellipses.- 18. Geometry in the p-norm.- 19. Duality.- 20. Analytic Parametrizations.- A. Curve Menagerie.- B. Formulas and Integrals.- C. Parametrization Primer.- D. Proofs of Formulas and Theorems.- E. Alternate Pi Days.- F. Selected Exercise Hints and Solutions.