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Author : Olli Lehto
Publisher :
ISBN 13 :
Total Pages : 274 pages
Book Rating : 4.:/5 (318 download)
Download or read book Quasiconformal Mappings in the Plane written by Olli Lehto and published by . This book was released on 1973 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Duren
Publisher : Cambridge University Press
ISBN 13 : 9781139451277
Total Pages : 236 pages
Book Rating : 4.4/5 (512 download)
Download or read book Harmonic Mappings in the Plane written by Peter Duren and published by Cambridge University Press. This book was released on 2004-03-29 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic mappings in the plane are univalent complex-valued harmonic functions of a complex variable. Conformal mappings are a special case where the real and imaginary parts are conjugate harmonic functions, satisfying the Cauchy-Riemann equations. Harmonic mappings were studied classically by differential geometers because they provide isothermal (or conformal) parameters for minimal surfaces. More recently they have been actively investigated by complex analysts as generalizations of univalent analytic functions, or conformal mappings. Many classical results of geometric function theory extend to harmonic mappings, but basic questions remain unresolved. This book is the first comprehensive account of the theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces. Essentially self-contained, the book contains background material in complex analysis and a full development of the classical theory of minimal surfaces, including the Weierstrass-Enneper representation. It is designed to introduce non-specialists to a beautiful area of complex analysis and geometry.
Author : Maria Alberich-Carraminana
Publisher : Springer Science & Business Media
ISBN 13 : 9783540428169
Total Pages : 280 pages
Book Rating : 4.4/5 (281 download)
Download or read book Geometry of the Plane Cremona Maps written by Maria Alberich-Carraminana and published by Springer Science & Business Media. This book was released on 2002 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained exposition of the theory of plane Cremona maps, reviewing the classical theory. The book updates, correctly proves and generalises a number of classical results by allowing any configuration of singularities for the base points of the plane Cremona maps. It also presents some material which has only appeared in research papers and includes new, previously unpublished results. This book will be useful as a reference text for any researcher who is interested in the topic of plane birational maps.
Author : J. Krzyz
Publisher : Springer
ISBN 13 : 3540394648
Total Pages : 185 pages
Book Rating : 4.5/5 (43 download)
Download or read book Quasiconformal Mappings in the Plane written by J. Krzyz and published by Springer. This book was released on 2006-11-15 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kari Astala
Publisher : Princeton University Press
ISBN 13 : 9780691137773
Total Pages : 708 pages
Book Rating : 4.1/5 (377 download)
Download or read book Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48) written by Kari Astala and published by Princeton University Press. This book was released on 2009-01-18 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations--the most important class of PDEs in applications--are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical systems. These topics are inextricably linked by the theory of quasiconformal mappings. Further, the interplay between them allows the authors to extend classical results to more general settings for wider applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings.
Author : Julian W. Low
Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.:/5 (37 download)
Download or read book Plane Table Mapping written by Julian W. Low and published by . This book was released on 1952 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Olli Lehto
Publisher : Springer
ISBN 13 : 9783642655135
Total Pages : 0 pages
Book Rating : 4.6/5 (551 download)
Download or read book Quasiconformal Mappings in the Plane written by Olli Lehto and published by Springer. This book was released on 1973 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maria Alberich-Carraminana
Publisher : Springer
ISBN 13 : 3540455388
Total Pages : 269 pages
Book Rating : 4.5/5 (44 download)
Download or read book Geometry of the Plane Cremona Maps written by Maria Alberich-Carraminana and published by Springer. This book was released on 2004-10-19 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained exposition of the theory of plane Cremona maps, reviewing the classical theory. The book updates, correctly proves and generalises a number of classical results by allowing any configuration of singularities for the base points of the plane Cremona maps. It also presents some material which has only appeared in research papers and includes new, previously unpublished results. This book will be useful as a reference text for any researcher who is interested in the topic of plane birational maps.
Author : H. E. Chrestenson
Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.F/5 ( download)
Download or read book Mappings of the Plane written by H. E. Chrestenson and published by . This book was released on 1966 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hughes Hoyle
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (385 download)
Download or read book Compact Mappings in the Plane written by Hughes Hoyle and published by . This book was released on 1963 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mark Ovenden
Publisher : Penguin
ISBN 13 : 0143134078
Total Pages : 146 pages
Book Rating : 4.1/5 (431 download)
Download or read book Airline Maps written by Mark Ovenden and published by Penguin. This book was released on 2019-10-29 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: A nostalgic and celebratory look back at one hundred years of passenger flight, featuring full-color reproductions of route maps and posters from the world's most iconic airlines, from the author of bestselling cult classic Transit Maps of the World. In this gorgeously illustrated collection of airline route maps, Mark Ovenden and Maxwell Roberts look to the skies and transport readers to another time. Hundreds of images span a century of passenger flight, from the rudimentary trajectory of routes to the most intricately detailed birds-eye views of the land to be flown over. Advertisements for the first scheduled commercial passenger flights featured only a few destinations, with stunning views of the countryside and graphics of biplanes. As aviation took off, speed and mileage were trumpeted on bold posters featuring busy routes. Major airlines produced highly stylized illustrations of their global presence, establishing now-classic brands. With trendy and forward-looking designs, cartographers celebrated the coming together of different cultures and made the earth look ever smaller. Eventually, fleets got bigger and routes multiplied, and graphic designers have found creative new ways to display huge amounts of information. Airline hubs bring their own cultural mark and advertise their plentiful destination options. Innovative maps depict our busy world with webs of overlapping routes and networks of low-cost city-to-city hopping. But though flying has become more commonplace, Ovenden and Roberts remind us that early air travel was a glamorous affair for good reason. Airline Maps is a celebration of graphic design, cartographic skills and clever marketing, and a visual feast that reminds us to enjoy the journey as much as the destination.
Author : Julian W. Low
Publisher :
ISBN 13 :
Total Pages : 365 pages
Book Rating : 4.:/5 (232 download)
Download or read book Plane Table Mapping written by Julian W. Low and published by . This book was released on 1952 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Krzyz
Publisher : Springer
ISBN 13 : 9783662185858
Total Pages : 184 pages
Book Rating : 4.1/5 (858 download)
Download or read book Quasiconformal Mappings in the Plane written by J. Krzyz and published by Springer. This book was released on 2014-10-08 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quasiformal Mappings in the plane written by and published by . This book was released on 1983 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David E. Blair
Publisher : American Mathematical Soc.
ISBN 13 : 0821826360
Total Pages : 130 pages
Book Rating : 4.8/5 (218 download)
Download or read book Inversion Theory and Conformal Mapping written by David E. Blair and published by American Mathematical Soc.. This book was released on 2000-08-17 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is rarely taught in an undergraduate or even graduate curriculum that the only conformal maps in Euclidean space of dimension greater than two are those generated by similarities and inversions in spheres. This is in stark contrast to the wealth of conformal maps in the plane. The principal aim of this text is to give a treatment of this paucity of conformal maps in higher dimensions. The exposition includes both an analytic proof in general dimension and a differential-geometric proof in dimension three. For completeness, enough complex analysis is developed to prove the abundance of conformal maps in the plane. In addition, the book develops inversion theory as a subject, along with the auxiliary theme of circle-preserving maps. A particular feature is the inclusion of a paper by Caratheodory with the remarkable result that any circle-preserving transformation is necessarily a Mobius transformation, not even the continuity of the transformation is assumed. The text is at the level of advanced undergraduates and is suitable for a capstone course, topics course, senior seminar or independent study. Students and readers with university courses in differential geometry or complex analysis bring with them background to build on, but such courses are not essential prerequisites.
Author : Julian Ławrynowicz
Publisher : Springer Verlag
ISBN 13 : 9780387119892
Total Pages : 177 pages
Book Rating : 4.1/5 (198 download)
Download or read book Quasiconformal Mappings in the Plane written by Julian Ławrynowicz and published by Springer Verlag. This book was released on 1983 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bijan Farrahi
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (26 download)
Download or read book On distance preserving mappings of Euclidean-like planes written by Bijan Farrahi and published by . This book was released on 1974 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
