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Lectures on Quasiconformal Mappings
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Lectures on Quasiconformal Mappings

Lectures on Quasiconformal Mappings

Lars V. Ahlfors, C. J. Earle, I. Kra, M. Shishikura, J. H. Hubbard - Collection University Lecture Series

162 pages, parution le 31/08/2006 (2eme édition)

Résumé

Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first published in 1966 and was soon recognized as the classic it was shortly destined to become. These lectures develop the theory of quasiconformal mappings from scratch, give a self-contained treatment of the Beltrami equation, and cover the basic properties of Teichmüller spaces, including the Bers embedding and the Teichmüller curve. It is remarkable how Ahlfors goes straight to the heart of the matter, presenting major results with a minimum set of prerequisites. Many graduate students and other mathematicians have learned the foundations of the theories of quasiconformal mappings and Teichmüller spaces from these lecture notes.

This edition includes three new chapters. The first, written by Earle and Kra, describes further developments in the theory of Teichmüller spaces and provides many references to the vast literature on Teichmüller spaces and quasiconformal mappings. The second, by Shishikura, describes how quasiconformal mappings have revitalized the subject of complex dynamics. The third, by Hubbard, illustrates the role of these mappings in Thurston's theory of hyperbolic structures on 3-manifolds. Together, these three new chapters exhibit the continuing vitality and importance of the theory of quasiconformal mappings.

Sommaire

  • Preface
  • The Ahlfors Lectures
  • Acknowledgments
  • Differentiable Quasiconformal Mappings
  • The General Definition
  • Extremal Geometric Properties
  • Boundary Correspondence
  • The Mapping Theorem
  • Teichmüller Spaces
  • The Additional Chapters
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Caractéristiques techniques

  PAPIER
Éditeur(s) American Mathematical Society (AMS)
Auteur(s) Lars V. Ahlfors, C. J. Earle, I. Kra, M. Shishikura, J. H. Hubbard
Collection University Lecture Series
Parution 31/08/2006
Édition  2eme édition
Nb. de pages 162
Format 18 x 25
Couverture Broché
Poids 320g
Intérieur Noir et Blanc
EAN13 9780821836446
ISBN13 978-0-8218-3644-6

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