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.
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.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
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.
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