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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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 Teichmuller spaces, including the Bers embedding and the Teichmuller curve.

We use cookies to give you the best possible experience. Amazon Advertising Find, attract, and engage customers. Print Price 1 Label: Some details, such as the definition of module conformal modulus at the start of Chapter 3, seem missing altogether.

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A User’s Guide to Spectral Sequences: Looking for beautiful books? The lectures and supplements constitute a very efficient way of learning some complicated theories with numerous applications. Lectures on Quasiconformal Mappings. Alexa Actionable Analytics for the Web.


Lectures on Quasiconformal Mappings: Second Edition

Publication Month and Year: Most library copies of the first edition are now very well-thumbed from use by generations of mathematicians, so this second edition is very welcome.

Lars Ahlfors’ Lectures mappinga Quasiconformal Mappings, based 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.

The author proves that the geometric and analytic definitions are equivalent.

Ahlforw Grotzsch, a mapping is then said to be quasiconformal if the dilatation is bounded, and K-quasiconformal if the dilatation is less than or equal to K. All of his discussion has the flavor of classical harmonic analysis, with detailed attention given to the proof of the Calderon-Zygmund inequality. Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers.

Author s Product display: Discover Prime Book Box for Kids. The problem lecutres finding the largest value of the module of this region is considered for three different conditions on this region and its bounded and unbounded components. American Mathematical Society; 2 edition July 14, Language: The second, by Shishikura, describes how quasiconformal mappings have revitalized the subject of complex dynamics.

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English Choose a language for shopping. The second edition is made much more valuable by the addition of three new chapters by leading authorities in fields where quasiconformal mappings have proved especially fruitful.


The third, by Hubbard, illustrates the role of these mappings in Thurston’s theory of hyperbolic structures on 3-manifolds. Many sections will likely be confusing the first time or two, mainly because the level of detail is quite sparse.

Lectures on Quasiconformal Mappings: Second Edition

mappingd There was a problem filtering reviews right now. Shopbop Designer Fashion Brands. It has a tendency to use very specific notation from an earlier section without warning.

Visit our Beautiful Books page and find lovely books for kids, photography lovers and more. And following precedents from harmonic analysis, the author defines the Dirichlet integral, and shows it to be quasi-invariant under quasiconformal mappings. Geometry of Algebraic Curves: Write a customer review. The author ends his book with a consideration of Teichmuller spaces, with attention given to the extent to which the classical theory of conformally equivalent Riemann surfaces can be generalized to the context of quasiconformal mappings.