By Lars V. Ahlfors
Lars Ahlfors' Lectures on Quasiconformal Mappings, according to a direction he gave at Harvard collage within the spring time period of 1964, was once first released in 1966 and used to be quickly well-known because the vintage it used to be presently destined to turn into. those lectures increase the idea of quasiconformal mappings from scratch, supply 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 awesome how Ahlfors is going immediately to the guts 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 comprises 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 great literature on Teichmuller areas and quasiconformal mappings. the second one, by means of Shishikura, describes how quasiconformal mappings have revitalized the topic of advanced dynamics. The 3rd, by way of Hubbard, illustrates the position of those mappings in Thurston's idea of hyperbolic buildings on 3-manifolds. jointly, those 3 new chapters express the ongoing energy and significance of the idea of quasiconformal mappings.
Readership: Graduate scholars and examine mathematicians drawn to complicated research.