The description for this book, Analytic Functions, will be forthcoming.

Analytic Functions (Princeton Legacy Library, 2107)

Science & Math

Lars V. Ahlfors

Nevanlinna

Mathematics

Princeton University Press

Lars Ahlfors' 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 Teichmuller spaces, including the Bers embedding and the Teichmuller 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 Teichmuller 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 Teichmuller spaces and provides many references to the vast literature on Teichmuller 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.

Lectures on Quasiconformal Mappings (University Lecture Series) (University Lecture Series, 38)

American Mathematical Society

Most conformal invariants can be described in terms of extremal properties. Conformal invariants and extremal problems are therefore intimately linked and form together the central theme of this classic book which is primarily intended for students with approximately a year's background in complex variable theory. The book emphasizes the geometric approach as well as classical and semi-classical results which Lars Ahlfors felt every student of complex analysis should know before embarking on independent research. At the time of the book's original appearance, much of this material had never appeared in book form, particularly the discussion of the theory of extremal length. Schiffer's variational method also receives special attention, and a proof of $\vert a_4\vert \leq 4$ is included which was new at the time of publication. The last two chapters give an introduction to Riemann surfaces, with topological and analytical background supplied to support a proof of the uniformization theorem. Included in this new reprint is a Foreword by Peter Duren, F. W. Gehring, and Brad Osgood, as well as an extensive errata.

Conformal Invariants: Topics in Geometric Function Theory (Ams Chelsea Publishing, 371)

***** INTERNATIONAL EDITION ***** ***** INTERNATIONAL EDITION ***** ***** INTERNATIONAL EDITION *****

Complex Analysis

McGraw Hill India

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Books by Lars V. Ahlfors

See the best price to sell, buy, or rent books by Lars V. Ahlfors. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Analytic Functions (Princeton Legacy Library, 2107)

Lectures on Quasiconformal Mappings (University Lecture Series) (University Lecture Series, 38)

Conformal Invariants: Topics in Geometric Function Theory (Ams Chelsea Publishing, 371)

Complex Analysis