Lectures on Quasiconformal Mappings
Lars V. Ahlfors, C. J. Earle, I. Kra, M. Shishikura, J. H. Hubbard - Collection University Lecture Series
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
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 |
Avantages Eyrolles.com
Nos clients ont également acheté
Consultez aussi
- Les meilleures ventes en Graphisme & Photo
- Les meilleures ventes en Informatique
- Les meilleures ventes en Construction
- Les meilleures ventes en Entreprise & Droit
- Les meilleures ventes en Sciences
- Les meilleures ventes en Littérature
- Les meilleures ventes en Arts & Loisirs
- Les meilleures ventes en Vie pratique
- Les meilleures ventes en Voyage et Tourisme
- Les meilleures ventes en BD et Jeunesse