Theory of functions of a complex variable /
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| Format: | Book |
| Language: | English |
| Published: |
New York, N.Y. :
Chelsea,
1954
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| Subjects: |
Table of Contents:
- v.1.: Pte. 1. Complex numbers: I. The complex numbers from the algebraic point of view
- II. The geometry of the complex numbers
- III. Euclidean, spherical and non-euclidean geometry
- Pte. 2: Some results from point set theory and from topology: I. Convergent sequences of numbers and continuous complex functions
- II. Curves and regions
- III. Contour integration
- Pte. 3. Analytic functions: I. Foundations of the theory
- II. The maximun-modulus principle
- III. The poissin integral and harmonic functions
- IV. Meromorphic functions
- Pte. 4. Analytic functions defined by limiting processes: I. Continuous convergence
- II. Normal families of meromorphic functions
- III. Power series
- IV. Partial-fraction decomposition and the calculus of residues
- Pte. 5. Special functions: I. The exponential and trigonometric functions
- II. The logarithmic function and the general power function
- III. The bernoulli numbers and the gamma function
- v.2.: Pte. 6. Foudations of geometric function theory: I. Bounded functions
- II. Conformal mapping
- III. The mapping of the boundary
- Pte. 7. The triangle functions and picard's theorem: I. Functions of several complex variables
- II. Conformal maping of circular-arc triangles
- III. The schwarz triangle functions and the modular functions
- IV. The essential singularities and picard's theorems