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Mappings Of The Plane
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Book Synopsis Harmonic Mappings in the Plane by : Peter Duren
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.
Book Synopsis Quasiconformal Mappings in the Plane by : J. Krzyz
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:
Book Synopsis Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48) by : Kari Astala
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.
Book Synopsis Geometry of the Plane Cremona Maps by : Maria Alberich-Carraminana
Download or read book Geometry of the Plane Cremona Maps written by Maria Alberich-Carraminana and published by Springer. This book was released on 2004-10-20 with total page 262 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.
Book Synopsis Quasiconformal Mappings in the Plane by : Olli Lehto
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:
Book Synopsis Quasiconformal Mappings in the Plane by : Olli Lehto
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:
Book Synopsis Mappings of the Plane by : Gwen Harwood
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 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.
Book Synopsis Inversion Theory and Conformal Mapping by : David E. Blair
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.
Book Synopsis Mappings of the Plane by : H. E. Chrestenson
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:
Book Synopsis The Encyclopedia of Field and General Geology by : Charles W. Finkl
Download or read book The Encyclopedia of Field and General Geology written by Charles W. Finkl and published by Springer Science & Business Media. This book was released on 1988-04-30 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: Field work, supplemented by laboratory studies, is a cornerstone for the geological sciences. This volume provides an introduction to general field work through selected topics that illustrate specific techniques and methodologies. One hundred and twenty-three main entries prepared by leading authorities from around the world deal with aspects of exploration surveys, geotechnical engineering, environmental management. field techniques, mapping, prospecting, and mining. Special efforts were made to include topics that consider aspects of environmental geology in particular those subjects that involve field inspections related to, for example, the placement of artificial fills, sediment control in canals and waterways, the geologic effects of cities, or the importance of expansive soils to environmental management and engineering. In addition, some widely ranging topics dealing with legal affairs, geological methodology, the scope and organization of geology, report writing, and other concepts, such as those related to plate tectonics and continental drift, provide a necessary perspective to the arena of field geology.
Book Synopsis Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics by : C. Altman
Download or read book Reciprocity, Spatial Mapping and Time Reversal in Electromagnetics written by C. Altman and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: The choice of topics in this book may seem somewhat arbitrary, even though we have attempted to organize them in a logical structure. The contents reflect the path of 'search and discovery' followed by us, on and off, for the in fact last twenty years. In the winter of 1970-71 one of the authors (C. A. ), on sah baticalleave with L. R. O. Storey's research team at the Groupe de Recherches Ionospheriques at Saint-Maur in France, had been finding almost exact symme tries in the computed reflection and transmission matrices for plane-stratified magnetoplasmas when symmetrically related directions of incidence were com pared. At the suggestion of the other author (K. S. , also on leave at the same institute), the complex conjugate wave fields, used to construct the eigenmode amplitudes via the mean Poynting flux densities, were replaced by the adjoint wave fields that would propagate in a medium with transposed constitutve tensors, et voila, a scattering theorem-'reciprocity in k-space'-was found in the computer output. To prove the result analytically one had to investigate the properties of the adjoint Maxwell system, and the two independent proofs that followed, in 1975 and 1979, proceeded respectively via the matrizant method and the thin-layer scattering-matrix method for solving the scattering problem, according to the personal preferences of each of the authors. The proof given in Chap. 2 of this book, based on the hindsight provided by our later results, is simpler and much more concise.
Book Synopsis Quasiconformal Mappings in the Plane by : Julian Ławrynowicz
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:
Book Synopsis Quasiconformal Mappings in the Plane by : J. Krzyz
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:
Book Synopsis Medical Image Computing and Computer-Assisted Intervention - MICCAI'99 by : Chris Taylor
Download or read book Medical Image Computing and Computer-Assisted Intervention - MICCAI'99 written by Chris Taylor and published by Springer. This book was released on 2006-09-10 with total page 1331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI'99, held in Cambridge, UK, in September 1999. The 133 revised full papers presented were carefully reviewed and selected from a total of 213 full-length papers submitted. The book is divided into topical sections on data-driven segmentation, segmentation using structural models, image processing and feature detection, surfaces and shape, measurement and interpretation, spatiotemporal and diffusion tensor analysis, registration and fusion, visualization, image-guided intervention, robotic systems, and biomechanics and simulation.
Author :Vladimir I. Arnol'd Publisher :Springer Science & Business Media ISBN 13 :9783540548119 Total Pages :174 pages Book Rating :4.5/5 (481 download)
Book Synopsis Catastrophe Theory by : Vladimir I. Arnol'd
Download or read book Catastrophe Theory written by Vladimir I. Arnol'd and published by Springer Science & Business Media. This book was released on 2003-10-29 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition of this non-mathematical review of catastrophe theory contains updated results and many new or expanded topics including delayed loss of stability, shock waves, and interior scattering. Three new sections offer the history of singularity and its applications from da Vinci to today, a discussion of perestroika in terms of the theory of metamorphosis, and a list of 93 problems touching on most of the subject matter in the book.
Book Synopsis Methods of Analysis and Solutions of Crack Problems by : George C. Sih
Download or read book Methods of Analysis and Solutions of Crack Problems written by George C. Sih and published by Springer Science & Business Media. This book was released on 1973-01-31 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is weH known that the traditional failure criteria cannot adequately explain failures which occur at a nominal stress level considerably lower than the ultimate strength of the material. The current procedure for predicting the safe loads or safe useful life of a structural member has been evolved around the discipline oflinear fracture mechanics. This approach introduces the concept of a crack extension force which can be used to rank materials in some order of fracture resistance. The idea is to determine the largest crack that a material will tolerate without failure. Laboratory methods for characterizing the fracture toughness of many engineering materials are now available. While these test data are useful for providing some rough guidance in the choice of materials, it is not clear how they could be used in the design of a structure. The understanding of the relationship between laboratory tests and fracture design of structures is, to say the least, deficient. Fracture mechanics is presently at astandstill until the basic problems of scaling from laboratory models to fuH size structures and mixed mode crack propagation are resolved. The answers to these questions require some basic understanding ofthe theory and will not be found by testing more specimens. The current theory of fracture is inadequate for many reasons. First of aH it can only treat idealized problems where the applied load must be directed normal to the crack plane.
