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1. Complex Numbers

2. The Convergence of Infinite Series
3. Functions of Complex Variable
4. Cauchy's Theorem
5. Uniform Convergence
6. The Calculus of Residues
7. Integral Functions
8. Conformal Representations
9. Legendre Functions
10. Bessel Functions
11. The Elliptic Functions of Weirestrass
12. Jacobi's Elliptic Functions
13. Elliptic Modular Functions and Picard's Theorem
14. Index