Lectures on quasiconformal mappings

Bibliographic Information

Lectures on quasiconformal mappings

Lars V. Ahlfors ; with additional chapters by C.J. Earle and I. Kra, M. Shishikura, J.H. Hubbard

(University lecture series, v. 38)

American Mathematical Society, 2006

2nd ed

Available at  / 38 libraries

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Note

Originally published: Toronto ; New York : D. Van Nostrand Co., c1966

Reprinted with corrections 2006

Description and Table of Contents

Description

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.

Table of Contents

The Ahlfors Lectures: Acknowledgments Differentiable quasiconformal mappings The general definition Extremal geometric properties Boundary correspondence The mapping theorem Teichmuller spaces Editors' notes The Additional Chapters: A supplement to Ahlfors's lectures Complex dynamics and quasiconformal mappings Hyperbolic structures on three-manifolds that fiber over the circle.

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Details

  • NCID
    BA77769694
  • ISBN
    • 0821836447
  • LCCN
    2006040650
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Providence, R.I.
  • Pages/Volumes
    viii, 162 p.
  • Size
    26 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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