Complex Analysis - Methods, Trends, and Applications
1st Edition
Published on 31. December 1983
400 pages
978-3-11-270775-3 (ISBN)
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Eberhard Lanckau | Wolfgang Tutschke
Complex Analysis - Methods, Trends, and Applications
Book
12/1983
1st Edition
De Gruyter
€139.95
Shipment within 7-9 days
Content
- Intro
- Prefatory note
- From the editors
- Contents
- Introduction
- I. Complex analysis and its relations to other spheres in mathematics
- 1. Classical and modern methods of complex analysis
- 2. Value distribution theory
- 3. Polyanalytic functions
- 4. Cohomological methods in complex analysis
- 5. Connections between complex and global analysis: some analytical and geometrical aspects of the Riemann-Hilbert transmission problem
- 6. On some complex-analytic methods in differential geometry
- 7. Complex methods in the theory of infinitesimal bending of a surface
- 8. Approximation methods for solving singular integral equations
- II. Complex methods in partial differential equations and other applications of complex analysis
- 9. Ordinary differential equations in the complex domain
- 10. Boundary value problems for analytic and generalized analytic functions
- 11. Elliptic systems in the plane
- 12. Recent results and developments in generalized hyperanalytic function theory
- 13. Complex methods in the theory of boundary value problems with respect to systems of partial differential equations of composed type
- 14. Differential operators in the theory of elliptic equations and boundary value problems
- 15. Solving of linear partial differential equations by using complex integral transforms
- 16. Function theory in algebras
- 17. Analytic continuation of solutions to partial differential equations with applications to problems in scattering theory
- 18. Numerical methods for boundary value problems of elliptic systems in the plane
- 19. Optimal control problems with elliptic differential equation systems of first order in the plane
- 20. Methods of the theory of analytic functions in the theory of elasticity
- 21. Some applications of generalized analytic functions in the shell theory
- 22. Complex analysis in probability theory
- Bibliography
- Author index
- Subject index
