Handbook of Complex Analysis
eBook - ePub

Handbook of Complex Analysis

Geometric Function Theory

  1. 876 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Handbook of Complex Analysis

Geometric Function Theory

About this book

Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). - A collection of independent survey articles in the field of GeometricFunction Theory - Existence theorems and qualitative properties of conformal and quasiconformal mappings - A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane)

Information

Publisher
North Holland
Year
2004
Print ISBN
9780444515476
eBook ISBN
9780080495170
Topic
Mathematics
Subtopic
Mathematical Analysis
Index
Mathematics

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright page
  5. Preface
  6. List of Contributors of Volume 1
  7. List of Contributors
  8. Contents of Volume 1
  9. Chapter 1: Quasiconformal Mappings in Euclidean Spaces
  10. Chapter 2: Variational Principles in the Theory of Quasiconformal Maps
  11. Chapter 3: The Conformal Module of Quadrilaterals and of Rings
  12. Chapter 4: Canonical Conformal and Quasiconformal Mappings. Identities. Kernel Functions
  13. Chapter 5: Univalent Holomorphic Functions with Quasiconformal Extensions (Variational Approach)
  14. Chapter 6: Transfinite Diameter, Chebyshev Constant and Capacity
  15. Chapter 7: Some Special Classes of Conformal Mappings
  16. Chapter 8: Univalence and Zeros of Complex Polynomials
  17. Chapter 9: Methods for Numerical Conformal Mapping
  18. Chapter 10: Univalent Harmonic Mappings in the Plane
  19. Chapter 11: Quasiconformal Extensions and Reflections
  20. Chapter 12: Beltrami Equation
  21. Chapter 13: The Application of Conformal Maps in Electrostatics
  22. Chapter 14: Special Functions in Geometric Function Theory
  23. Chapter 15: Extremal Functions in Geometric Function Theory. Higher Transcendental Functions. Inequalities
  24. Chapter 16: Eigenvalue Problems and Conformal Mapping
  25. Chapter 17: Foundations of Quasiconformal Mappings
  26. Chapter 18: Quasiconformal Mappings in Value-Distribution Theory
  27. Chapter 19: Bibliography of Geometric Function Theory
  28. Author Index
  29. Subject Index

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Yes, you can access Handbook of Complex Analysis by Reiner Kuhnau in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over 1.5 million books available in our catalogue for you to explore.