## Lectures on quasiconformal mappings by Lars V. Ahlfors

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, used to be first released in 1966 and was once quickly famous because the vintage it was once almost immediately destined to turn into. those lectures advance the speculation of quasiconformal mappings from scratch, provide a self-contained therapy of the Beltrami equation, and canopy the fundamental houses of Teichmuller areas, together with the Bers embedding and the Teichmuller curve. it's outstanding how Ahlfors is going immediately to the center of the problem, proposing significant effects with a minimal set of must haves. Many graduate scholars and different mathematicians have discovered the rules of the theories of quasiconformal mappings and Teichmuller areas from those lecture notes. This version contains 3 new chapters.The first, written through Earle and Kra, describes extra advancements within the idea of Teichmuller areas and gives many references to the giant 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, by means of Hubbard, illustrates the function of those mappings in Thurston's idea of hyperbolic constructions on 3-manifolds. jointly, those 3 new chapters convey the continued power and significance of the speculation of quasiconformal mappings.