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 Teichmueller spaces, including the Bers embedding and the Teichmueller 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 Teichmueller 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 Teichmueller spaces and provides many references to the vast literature on Teichmueller 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.
Lars V Ahlfors
Lectures on Quasiconformal Mappings [PDF ebook]
Lectures on Quasiconformal Mappings [PDF ebook]
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định dạng PDF ● Trang 162 ● ISBN 9781470418328 ● Nhà xuất bản American Mathematical Society ● Được phát hành 2015 ● Có thể tải xuống 3 lần ● Tiền tệ EUR ● TÔI 8342323 ● Sao chép bảo vệ Adobe DRM
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