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Teichmuller theory and applications to geometry, topology, and dynamics / John Hamal Hubbard ; with contributions by Adrien Douady ... [et al.].

By: Material type: TextTextPublication details: Ithaca, NY : Matrix Editions, c2006.Description: v. <1> : ill. ; 25 cmISBN:
  • 9780971576629 (v.1 : alk. paper)
Subject(s): DDC classification:
  • 515.9 23 H875
Incomplete contents:
Chapter 1. The uniformization theorem-- Chapter 2. Plane hyperbolic geometry-- Chapter 3. Hyperbolic geometry of Riemann surfaces-- Chapter 4. Quasiconformal maps and the mapping theorem-- Chapter 5. Preliminaries to Teichmuller theory-- Chapter 6. Teichmuller spaces-- Chapter 7. Geometry of finite-dimensional Teichmuller spaces-- Appendix A-- Appendix B-- Index.
Summary: This book is the best place to learn Teichmueller theory; it is completely self-contained and in the words of Fields Medalist William Thurston, "This book develops a rich and interesting, interconnected body of mathematics that is also connected to many outside subjects.
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v. 1. Teichmuller Theory.

Includes bibliographical references (p. 441-445) and index.

Chapter 1. The uniformization theorem--
Chapter 2. Plane hyperbolic geometry--
Chapter 3. Hyperbolic geometry of Riemann surfaces--
Chapter 4. Quasiconformal maps and the mapping theorem--
Chapter 5. Preliminaries to Teichmuller theory--
Chapter 6. Teichmuller spaces--
Chapter 7. Geometry of finite-dimensional Teichmuller spaces--
Appendix A--
Appendix B--
Index.

This book is the best place to learn Teichmueller theory; it is completely self-contained and in the words of Fields Medalist William Thurston, "This book develops a rich and interesting, interconnected body of mathematics that is also connected to many outside subjects.

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