By Lars V. Ahlfors
Lars Ahlfors' Lectures on Quasiconformal Mappings, in response to a direction he gave at Harvard college within the spring time period of 1964, was once first released in 1966 and was once quickly famous because the vintage it was once almost immediately destined to turn into. those lectures improve the speculation of quasiconformal mappings from scratch, provide a self-contained remedy of the Beltrami equation, and canopy the elemental houses of Teichmuller areas, together with the Bers embedding and the Teichmuller curve. it's extraordinary how Ahlfors is going directly to the center of the problem, proposing significant effects with a minimal set of must haves. Many graduate scholars and different mathematicians have realized the principles of the theories of quasiconformal mappings and Teichmuller areas from those lecture notes. This version contains 3 new chapters.The first, written via Earle and Kra, describes extra advancements within the conception of Teichmuller areas and offers many references to the large literature on Teichmuller areas and quasiconformal mappings. the second one, by means of Shishikura, describes how quasiconformal mappings have revitalized the topic of complicated dynamics. The 3rd, via Hubbard, illustrates the function of those mappings in Thurston's concept of hyperbolic constructions on 3-manifolds. jointly, those 3 new chapters show the continued power and significance of the idea of quasiconformal mappings.
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