Lars Ahlfors’ Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of , was first published in and. Lectures on Quasiconformal Mappings. Front Cover. Lars Valerian Ahlfors. Van Nostrand, – Conformal mapping – pages. Lectures on quasiconformal mappings / by Lars V. Ahlfors ; manuscript prepared with the assistance of Clifford J. Earle, Jr Ahlfors, Lars Valerian,

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Other books in this series. The third, by Hubbard, illustrates the role of these mappings in Thurston’s theory of hyperbolic structures on 3-manifolds. Check out the top books of the year on our page Best Books of A 1-quasiconformal mapping is shown to be conformal under this new definition.

Also, and very interestingly, the quasicknformal gives a connection between these extremal modules and elliptic curves. Quadrilaterals are defined to be Jordan regions with a pair of disjoint arcs on the boundary. Lectures on Chevalley Groups Robert Steinberg.

Lectures on Quasiconformal Mappings – Lars Valerian Ahlfors – Google Books

Online Price 1 Label: This edition includes three new chapters. This short book gives a lectyres overview of the important properties of quasiconformal mappings, with these goals and properties in mind. Looking for beautiful books?


Simple relations are shown to exist between the three different extremal modules. Attention is then concentrated on proving the existence of quasiconformal mappings with a given complex dilatation. There was a problem filtering reviews right now. Product details Format Paperback lecturee Dimensions Lars Ahlfors’s Lectures on Quasiconformal Mappingsbased on a course he gave at Harvard University in the spring term ofwas first published in and was soon recognized as the classic it was shortly destined to become.

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Lectures on Quasiconformal Mappings: Second Edition

Graduate students and research mathematicians interested in complex analysis. Lectures on Coarse Geometry John Roe. Showing of 2 reviews. Mappinhs function on a region is “absolutely continuous on lines” if it is absolutely continuous on almost every horizontal and vertical line of any rectangel in the region.

This then allows a homeomorphic extension to the closed disk. The dilatation is 1 for a conformal mapping.

Join our email list. East Dane Designer Men’s Fashion. Print Price 3 Label: He then considers the question as to when quadruples of distinct complex numbers can be mapped to each other under K-quasiconformal mappings.

Home Contact Us Help Free delivery worldwide. Many graduate students and other mathematicians have learned the foundations of the theories of quasiconformal mappings and Teichmuller spaces from these lecture notes. Alexa Actionable Analytics for quasiconforjal Web.


These results naturally set up a study of the boundary value properties of quasiconformal mappings. AmazonGlobal Ship Orders Internationally. Get fast, free shipping with Amazon Prime.

Lectures on Quasiconformal Mappings: Second Edition

By using our website you agree to our use of cookies. Mori’s theorem is also proved, which gives a “Holder inequality”, i. For a family C of curves in the plane, the author introduces the extremal length of C, and shows that it is invariant under conformal mappings and “quasi-invariant” multiplied by a bounded factor under quasiconformal mappings. Share your thoughts with other customers. Volume I Grundlehren der mathematischen Wissenschaften.

Lectures on Quasiconformal Mappings. Still, this book can be at times more frustrating than helpful. The problem of finding the largest value of the module of this ahlforw is considered for three different conditions on this region and its bounded and mappinfs components.

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