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Apr 18, 1907 — Oct 11, 1996· 89 yrs

RIEMANN SURFACES · MATHEMATICS

Lars Valerian Ahlfors

Also known as: L. Ahlfors, Lars V. Ahlfors

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Lars Valerian Ahlfors was a Finnish mathematician, remembered for his work in the field of Riemann surfaces and his text on complex analysis. --Wikipedia Photo Attribution: Konrad Jacobs, Erlangen, CC BY-SA 2.0 DE , via Wikimedia Commons

This book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school.

— from Complex analysis

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#1

Lectures on quasiconformal mappings

1966

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Lars Ahlfors's Lectures on Quasiconformal Mappings, based on a course he gave at Harvard University in the spring term of 1964, was first published in 1966 and was soon recognized as the classic it was shortly destined to become. 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 Teichmüller spaces, including the Bers embedding and the Teichmüller curve. It is remarkable how Ahlfors goes straight to the heart of the matter, presenting major results with a minimum set of prerequisites. Many graduate students and other mathematicians have learned the foundations of the theories of quasiconformal mappings and Teichmüller spaces from these lecture notes. This edition includes three new chapters. The first, written by Earle and Kra, describes further developments in the theory of Teichmüller spaces and provides many references to the vast literature on Teichmüller spaces and quasiconformal mappings. The second, by Shishikura, describes how quasiconformal mappings have revitalized the subject of complex dynamics. The third, by Hubbard, illustrates the role of these mappings in Thurston's theory of hyperbolic structures on 3-manifolds. Together, these three new chapters exhibit the continuing vitality and importance of the theory of quasiconformal mappings.

#2

Conformal invariants

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#3

Collected papers

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John Rawls's work on justice has drawn more commentary and aroused wider attention than any other work in moral or political philosophy in the twentieth century. But before and after writing his great treatises, Rawls produced a steady stream of essays, some of which articulate views of justice and liberalism distinct from those found in the two books. They are important in and of themselves because of the deep issues about the nature of justice, moral reasoning, and liberalism they raise as well as for the light they shed on the evolution of Rawls's views.

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