Lectures on Quasiconformal Mappings (University Lecture Series) (University Lecture Series, 38) - Softcover

Lars V. Ahlfors

Softcover

ISBN 10: 0821836447 ISBN 13: 9780821836446

Publisher: American Mathematical Society, 2006

Synopsis

Lars Ahlfors' 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 Teichmuller spaces, including the Bers embedding and the Teichmuller 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 Teichmuller 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 Teichmuller spaces and provides many references to the vast literature on Teichmuller 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.

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Review

"The lectures and supplements constitute a very efficient way of learning some complicated theories with numerous applications." ---- EMS Newsletter

"Most library copies of the first edition are now very well-thumbed from use by generations of mathematicians, so this second edition is very welcome. ... The second edition is made much more valuable by the addition of three new chapters by leading authorities in fields where quasiconformal mappings have proved especially fruitful." ---- Mathematical Reviews

Edition details

• Publisher: American Mathematical Society
• Publication date: 2006
• Language: English
• ISBN 10: 0821836447
• ISBN 13: 9780821836446
• Binding: Paperback
• Edition number: 2
• Number of pages: 162