Publisher's Synopsis
This book lends itself as a text and reference on the theory of Teichmuller space, a topic in complex analysis, both important and central to mathematics and increasingly so to computer scientists and physicists. The book focuses on the mainstream approach to Teichmuller theory, quadratic differentials and unifies a subject which has seemed inaccessible in the past.;Subjects covered in this book include Bers embedding and the complex structure it induces on Teichmuller space, the action of the modular group, the equivalence of the alternate definitions of Teichmuller space and the proof of Royden's theory. A portion of this book includes original research.