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 It also presents some material which has only appeared in research papers and includes new, previously unpublished results.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.
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:
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.
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:
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.
Download or read book Plane Table Mapping written by Julian W. Low and published by . This book was released on 1952 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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.
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:
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:
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:
Download or read book Mappings of the Plane written by Gwen Harwood and published by Carcanet. This book was released on 2009-05-28 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gwen Harwood (1920-1995) is one of the best loved Australian poets of the twentieth century - and a fierce prankster, who published poems under half-a-dozen names and identities. By turns poignant, sensuous and mischievous, passionately musical, her poetry is marked by sure intelligence and a quicksilver, anti-authoritarian wit. This new selection of her poetry from 1943 to her death makes the full range of the work accessible for the first time to poetry-lovers in the northern hemisphere. With an introduction by the leading Harwood critic Gregory Kratzmann and the Australian poet Chris Wallace-Crabbe, who corresponded with Harwood, the selection includes hitherto little-known work along with poems which have become part of the central canon of Australian poetry.
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:
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.
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:
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:
