Donald E. Marshall (University of Washington)

Complex Analysis

• Gebundenes Buch

Produktbeschreibung

This user-friendly textbook offers an introduction to complex analysis. Unlike other textbooks, it follows Weierstrass' approach, and includes several elegant proofs that were recently discovered. Classroom-tested and self-contained, it is for beginning graduate or advanced undergraduate students with a modest undergraduate real analysis background.

Produktdetails

• Cambridge Mathematical Textbooks
• Verlag: Cambridge University Press
• Seitenzahl: 286
• Erscheinungstermin: 7. März 2019
• Englisch
• Abmessung: 261mm x 182mm x 20mm
• Gewicht: 774g
• ISBN-13: 9781107134829
• ISBN-10: 110713482X
• Artikelnr.: 53446861

Autorenporträt

Donald E. Marshall is Professor of Mathematics at the University of Washington. He received his Ph.D. from University of California, Los Angeles in 1976. Professor Marshall is a leading complex analyst with a very strong research record that has been continuously funded throughout his career. He has given invited lectures in over a dozen countries. He is coauthor of the research-level monograph Harmonic Measure (Cambridge, 2005).

Inhaltsangabe

Preface
Prerequisites
Part I: 1. Preliminaries
2. Analytic functions
3. The maximum principle
4. Integration and approximation
5. Cauchy's theorem
6. Elementary maps
Part II: 7. Harmonic functions
8. Conformal maps and harmonic functions
9. Calculus of residues
10. Normal families
11. Series and products
Part III: 12. Conformal maps to Jordan regions
13. The Dirichlet problem
14. Riemann surfaces
15. The uniformization theorem
16. Meromorphic functions on a Riemann surface
Appendix
Bibliography
Index.