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English
Mathematics
Functions of a Complex Variable
by
Francis B. Hildebrand
Functions of a Complex Variable
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Functions of a Complex Variable
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Table of Contents
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1. Introduction. The Complex Variable
2. Elementary Functions of a Complex Variable
3. Analytic functions of a complex variable
4. Line Integrals of Complex Functions
5. Cauchy's Integral Theorem
6. Taylor series
7. Laurent Series
8. Singularities of analytic functions
9. Singularities at infinity
10. Significance of singularities
11. Residues
12. Evaluation of real definite integrals
13. Theorems on limiting contours
14. Indented contours
15. Conformal mapping
16. Application to two-dimensional fluid flow
17. Other applications of conformal mapping