Complex analysis /
| Основен автор: | Bak, Joseph. |
|---|---|
| Други автори: | Newman, Donald J., 1930- |
| Формат: | Книга |
| Език: | English |
| Публикувано: |
New York :
Springer,
c2010.
|
| Издание: | 3rd ed. |
| Серия: |
Undergraduate texts in mathematics.
|
| Предмети: | |
| Онлайн достъп: |
Available to Stanford-affiliated users at: |
Съдържание:
- 1. The complex numbers
- 2. Functions of the complex variable z
- 3. Analytic functions
- 4. Line integrals and entire functions
- 5. Properties of entire functions
- 6. Properties of analytic functions
- 7. Further properties of analytic functions
- 8. Simply connected domains
- 9. Isolated singularities of an analytic function
- 10. The residue theorem
- 11. Applications of the residue theorem to the evaluation of integrals and sums
- 12. Further contour integral techniques
- 13. Introduction to conformal mapping
- 14. The Riemann mapping theorem
- 15. Maximum-modulus theorems for unbounded domains
- 16. Harmonic functions
- 17. Different forms of analytic functions
- 18. Analytic continuation: the gamma and zeta functions
- 19. Applications to other areas of mathematics.