Elliptic and Modular Functions from Gauss to Dedekind to Hecke (Hardcover)

1. The basic modular forms; 2. Gauss's contributions to modular forms; 3. Abel and Jacobi on elliptic functions; 4. Eisenstein and Hurwitz; 5. Hermite's transformation of theta functions; 6. Complex variables and elliptic functions; 7. Hypergeometric functions; 8. Dedekind's paper on modular functions; 9. The n function and Dedekind sums; 10. Modular forms and invariant theory; 11. The modular and multiplier equations; 12. The theory of modular forms as reworked by Hurwitz; 13. Ramanujan's Euler products and modular forms; 14. Dirichlet series and modular forms; 15. Sums of squares; 16. The Hecke operators.