Matrix
Editions

*serious mathematics, written with the reader in mind*

Volume 1: Teichmüller Theory

with contributions by Adrien Douady, William Dunbar, and Roland Roeder, as well as Sylvain Bonnot, David Brown, Allen Hatcher, Chris Hruska, and Sudeb Mitra and forewords by Clifford Earle and William Thurston

ISBN 9780971576629

Hardcover, 459 pages

*Volume 1 of Teichmuller theory has been a joy to read. I have had many epiphanies
about the geometry of surfaces as a result of your
excellent exposition. And peculiarly, I have learned more from the
appendices alone than from many other books. Thank you!*
-- Meijke Balay, UCLA undergraduate.

*You have written the
only book on Teichmuller theory that I can understand.*
-- Professor Steven G. Krantz, Washington University in St. Louis.

Introduction in pdf

Table of
contents (html)

Table of
contents (pdf)

Index(pdf)

Sample pages from each chapter and the appendices (pdf)

Errata and notes

Infrequently asked questions (pdf)

See also

Volume 2: Surface Homeomorphisms and Rational Functions

Volume 3: Manifolds that Fiber over the Circle

Volume 4: Hyperbolization of Haken Manifolds (not yet published)

I have long held a great admiration and appreciation for John Hamal Hubbard and his passionate engagement with
mathematics....This book develops a rich and interesting, interconnected body of mathematics that is also connected
to many outside subjects. I commend it to you....I only wish that I had had access to a source of this caliber much earlier in my career.

Read the complete foreword (pdf)

...remarkably self-contained... No other book proves both Royden's theorem about automorphisms of Teichmüller spaces and Slodkowski's theorem about holomorphic motions. But the most important novelty is provided
by the author's taste for hands-on geometric
constructions and the enthusiasm with which he presents them. (Read more)

Zentralblatt MATH:

...an invaluable book. It treats a wonderful subject,
and it is written by a great mathematician. It is now an essential reference for every student and every researcher in the field.
(complete review)

Mathematical Reviews:

In the volume under review, the author presents Teichmüller theory in order to understand the proofs of Thurston's theorems,
but as a result, the book becomes an excellent textbook on Teichmüller theory.

This volume begins with a foreword by Thurston in which the importance and
the beauty of Teichmüller theory are discussed from the point of view of his mathematical experiences and his philosophy on mathematics. The foreword itself is worth reading....

In conclusion, the reviewer is convinced that this well-written book will be very useful not only for people who are not familiar with Teichmüller
theory, but also for the experts. This is because the reader is offered everywhere in the volume the deep insights of the author, who
looks at the topics developed from a new vantage point. (Read more)