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Tuesday, July 21, 2020 | History

9 edition of Conformal invariants: topics in geometric function theory found in the catalog.

Conformal invariants: topics in geometric function theory

by Lars Valerian Ahlfors

  • 146 Want to read
  • 27 Currently reading

Published by McGraw-Hill in New York .
Written in English

    Subjects:
  • Conformal invariants,
  • Geometric function theory,
  • Riemann surfaces

  • Edition Notes

    Bibliography: p. [152]-155.

    Statement[by] Lars V. Ahlfors.
    SeriesMcGraw-Hill series in higher mathematics
    Classifications
    LC ClassificationsQA331 .A46
    The Physical Object
    Paginationvii, 157 p.
    Number of Pages157
    ID Numbers
    Open LibraryOL5410833M
    ISBN 100070006598
    LC Control Number73001455

    Geometric function theory is one of the most interesting parts of complex analysis, an area that has become increasingly relevant as a key feature in the theory of Schramm-Loewner Riemann mapping theorem is frequently explored, there are few texts that discuss general theory of univalent maps, conformal invariants, and Loewner. Project Euclid - mathematics and statistics online. On the Geometry Induced by Lorentz Transformations in Pseudo-Euclidean Spaces Ungar, Abraham,, ; A confirmation by hand calculation that the Möbius ball is a gyrovector space Watanabe, Keiichi, Nihonkai Mathematical Journal, ; Hyperbolic Geometry Ungar, Abraham A., Journal of Geometry and Symmetry .

    Buy Conformally Invariant Metrics and Quasiconformal Mappings by Hariri, Parisa, Klen, Riku, Vuorinen, Matti online on at best prices. Fast and free shipping free returns cash on delivery available on eligible : Parisa Hariri, Riku Klen, Matti Vuorinen. Geometric Function Theory and Conformal Mappings Conformal Invariants, Topics in Geometric Function Theory, Lars V. Ahlfors, Boundary Behaviour of Conformal Maps, Ch. Pommerenke,

    A conformal map is a function which preserves angles locally. In the most common case the function has a domain and range in the complex plane.. More formally, a map: → with, ⊂ is called conformal (or angle-preserving) at a point if it preserves oriented angles between curves through with respect to their orientation (i.e., not just the magnitude of the angle). Further reading. Ahlfors, Lars V. (), Conformal invariants: topics in geometric function theory, New York: McGraw–Hill Book Co., MR Constantin Carathéodory () Conformal Representation, Cambridge Tracts in Mathematics and Physics; Chanson, H. (), Applied Hydrodynamics: An Introduction to Ideal and Real Fluid Flows, CRC Press, Taylor & .


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Conformal invariants: topics in geometric function theory by Lars Valerian Ahlfors Download PDF EPUB FB2

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 Cited by: 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 class. Most conformal invariants can be described in terms of /5. Conformal invariants provide a link between the geometry of plane domains and conformal maps.

This book presents a unified treatment of conformal invariants in geometric function theory. It bridges the gap between classical theory of special functions and modern topics in geometric function by: Conformal invariants: topics in geometric function theory I Lars V.

Ahlfors. Originally published: New York: McGraw-Hill,in series: McGraw-Hill series in higher mathematics. Includes bibliographical references and index. ISBN (alk. paper) 1. Conformal invariants. Functions of complex variables. Conformal Invariants: Topics in Geometric Function Theory (Ams Chelsea Publishing) | Lars V.

Ahlfors | download | B–OK. Download books for free. Find books. 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 by: 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.

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 Author: Lars V Ahlfors. Conformal Invariants: Topics in Geometric Function Theory (AMS Chelsea Publishing) Hardcover – Import, 15 December Find all the books, read about the author, and more.2/5(1).

This book presents a fairly comprehensive account of the modern theory of Topics in geometric function tofthe original. With a foreword by Peter Duren, F. Gehring and Brad Osgood. ii+pp. [10] ng,Conformal invariants and function theoretic null sets,Acta Math.,83,(),– [11]. Ahlfors, L.V.: Conformal Invariants: Topics in Geometric Function Theory, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg ().

McGraw-Hill Series in Higher Mathematics Google Scholar. Lars V. Ahlfors, Conformal invariants: topics in geometric function theory, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, McGraw-Hill Series in Higher Mathematics.

MR ; Rauno Aulaskari and Huaihui Chen, Area inequality and 푄_{푝} norm, J. Funct. Anal. (), no. 1, 1– The geometric study of the action of quasiconformal mappings by means of conformal invariants often leads to inequalities for special functions.

Examples of such special functions. The book under review, Conformal Invariants: Topics in Geometric Function Theory, is a correspondingly major work in the field. Now an AMS Chelsea publication, the book first appeared in and is a masterpiece.

Derived from lectures given at Harvard “over many years, the topics [dealt with] would now be considered quite classical. Get this from a library. Conformal invariants: topics in geometric function theory. [Lars V Ahlfors]. Ahlfors, Lars V.Conformal invariants: topics in geometric function theory [by] Lars V.

Ahlfors McGraw-Hill New York Wikipedia Citation Please see Wikipedia's template documentation for further citation fields that may be required. Conformal invariants: topics in geometric function theory. New York, McGraw-Hill [] (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Lars V Ahlfors.

Conformal Invariants: Topics in Geometric Function Theory (McGraw-Hill series in higher mathematics) Ahlfors, Lars Valerian Published by McGraw-Hill (). View all Topics. Download as PDF. Set alert. About this page. Geometric Function Theory. Cabiria Andreian Cazacu, in Handbook of Complex Analysis, Module of a quadrilateral and of a ring domain.

Conformal invariants play an important role in. Ahlfors, Lars V. (), Conformal invariants: topics in geometric function theory, AMS Chelsea Publishing, ISBN Beardon, A. (), "A primer on Riemann surfaces", London Mathematical Society Lecture Note Series, Cambridge University Press, 78.

Lars V. Ahlfors, Conformal invariants: topics in geometric function theory, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, McGraw-Hill Series in Higher Mathematics.

MR ; Alan F. Beardon, The geometry of discrete groups, Graduate Texts in Mathematics, vol. 91, Springer-Verlag, New York, MR Ch. Pommerenke, Boundary behaviour of conformal maps.

This is an updated version of the previous book. We will be interested in Chapters 1,4, and 8. P. Duren, Univalent functions.

This is an excellent book about general theory of the univalent functions. We are mostly interested in the first three chapters. G. Goluzin, Geometric Theory of.Ahlfors, Lars V. Conformal invariants. Topics in geometric function theory.

Reprint of the original. With a foreword by Peter Duren, F. W. Gehring and Brad Osgood.