Stephen Shore

Autore: Stephen Shore
Editore: Phaidon Press
ISBN: 9780714848631
Grandezza: 33,60 MB
Formato: PDF, Kindle
Vista: 6655
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A photo-diary of Stephen Shore's experience crossing America in the 1970s. In 1972, Stephen Shore left New York City and set out with a friend to Amarillo, Texas. He didn't drive, so his first view of America was framed by the passenger's window frame. He was taken aback by the fact that his experience of life as a New Yorker had very little in common with the character and aspirations of Middle America. Later that year he set out again, this time on his own, with just a driver's licence and a Rollei 35 - a point-and-shoot camera - to explore the country through the eyes of an everyday tourist. The project was entitled American Surfaces, in reference to the superficial nature of his brief encounters with places and people, and the underlying character of the images that he hoped to capture. Shore photographed relentlessly and returned to New York triumphant, with hundreds of rolls of film spilling from his bags. In order to remain faithful to the conceptual foundations of the project, he followed the lead of most tourists of the time and sent his film to be developed and printed in Kodak's labs in New Jersey. The result was hundreds and hundreds of exquisitely composed colour pictures, that became the benchmark for documenting our fast-living, consumer-orientated world. The corpus of his work - following on from Walker Evans' and Robert Frank's epic experiences of crossing America - influenced photographers such as Martin Parr and Bernd & Hilla Becher, who in turn introduced a new generation of students to Shore's work.

Curves And Surfaces

Autore: Sebastián Montiel
Editore: American Mathematical Soc.
ISBN: 0821847635
Grandezza: 64,83 MB
Formato: PDF
Vista: 3089
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This introductory textbook puts forth a clear and focused point of view on the differential geometry of curves and surfaces. Following the modern point of view on differential geometry, the book emphasizes the global aspects of the subject. The excellent collection of examples and exercises (with hints) will help students in learning the material. Advanced undergraduates and graduate students will find this a nice entry point to differential geometry. In order to study the global properties of curves and surfaces, it is necessary to have more sophisticated tools than are usually found in textbooks on the topic. In particular, students must have a firm grasp on certain topological theories. Indeed, this monograph treats the Gauss-Bonnet theorem and discusses the Euler characteristic. The authors also cover Alexandrov's theorem on embedded compact surfaces in $\mathbb{R}^3$ with constant mean curvature. The last chapter addresses the global geometry of curves, including periodic space curves and the four-vertices theorem for plane curves that are not necessarily convex. Besides being an introduction to the lively subject of curves and surfaces, this book can also be used as an entry to a wider study of differential geometry. It is suitable as the text for a first-year graduate course or an advanced undergraduate course.

Mostly Surfaces

Autore: Richard Evan Schwartz
Editore: American Mathematical Soc.
ISBN: 0821853686
Grandezza: 27,12 MB
Formato: PDF, Mobi
Vista: 5601
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This book presents a number of topics related to surfaces, such as Euclidean, spherical and hyperbolic geometry, the fundamental group, universal covering surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. The main idea is to get to some interesting mathematics without too much formality. The book also includes some material only tangentially related to surfaces, such as the Cauchy Rigidity Theorem, the Dehn Dissection Theorem, and the Banach-Tarski Theorem.

The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigourous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis.


Atrazine In North American Surface Waters

Autore: Jeffrey M. Giddings
Editore: SETAC
ISBN: 1880611783
Grandezza: 32,61 MB
Formato: PDF, Docs
Vista: 3001
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Algebraic Curves And Riemann Surfaces

Autore: Rick Miranda
Editore: American Mathematical Soc.
ISBN: 0821802682
Grandezza: 78,77 MB
Formato: PDF, Docs
Vista: 8877
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The book was easy to understand, with many examples. The exercises were well chosen, and served to give further examples and developments of the theory. --William Goldman, University of Maryland In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking center stage. But the main examples come from projective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Duality Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a Mittag-Leffler problem. Sheaves and cohomology are introduced as a unifying device in the latter chapters, so that their utility and naturalness are immediately obvious. Requiring a background of one semester of complex variable theory and a year of abstract algebra, this is an excellent graduate textbook for a second-semester course in complex variables or a year-long course in algebraic geometry.

A Course In Minimal Surfaces

Autore: Tobias H. Colding
Editore: American Mathematical Soc.
ISBN: 0821853236
Grandezza: 34,71 MB
Formato: PDF, ePub
Vista: 967
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Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have played key roles in geometry and partial differential equations. Examples include monotonicity and tangent cone analysis originating in the regularity theory for minimal surfaces, estimates for nonlinear equations based on the maximum principle arising in Bernstein's classical work, and even Lebesgue's definition of the integral that he developed in his thesis on the Plateau problem for minimal surfaces. This book starts with the classical theory of minimal surfaces and ends up with current research topics. Of the various ways of approaching minimal surfaces (from complex analysis, PDE, or geometric measure theory), the authors have chosen to focus on the PDE aspects of the theory. The book also contains some of the applications of minimal surfaces to other fields including low dimensional topology, general relativity, and materials science. The only prerequisites needed for this book are a basic knowledge of Riemannian geometry and some familiarity with the maximum principle.

Satellite Altimetry Over Oceans And Land Surfaces

Autore: Detlef Stammer
Editore: CRC Press
ISBN: 1351647814
Grandezza: 12,80 MB
Formato: PDF, Kindle
Vista: 8177
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Satellite remote sensing, in particular by radar altimetry, is a crucial technique for observations of the ocean surface and of many aspects of land surfaces, and of paramount importance for climate and environmental studies. This book provides a state-of-the-art overview of the satellite altimetry techniques and related missions, and reviews the most-up-to date applications to ocean dynamics and sea level. It also discusses related space-based observations of the ocean surface (ocean salinity) and of the marine geoid, as well as applications of satellite altimetry to the cryosphere and land surface waters; operational oceanography and its applications to navigation, fishing and defense.

Differential Geometry

Autore: Wolfgang Kühnel
Editore: American Mathematical Soc.
ISBN: 9780821839881
Grandezza: 70,77 MB
Formato: PDF, Docs
Vista: 5015
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Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in I\!\!R^3 that arise in calculus. Here we learn about line and surface integrals, divergence and curl, and the various forms of Stokes' Theorem. If we are fortunate, we may encounter curvature and such things as the Serret-Frenet formulas. With just the basic tools from multivariable calculus, plus a little knowledge of linear algebra, it is possible to begin a much richer and rewarding study of differential geometry, which is what is presented in this book. It starts with an introduction to the classical differential geometry of curves and surfaces in Euclidean space, then leads to an introduction to the Riemannian geometry of more general manifolds, including a look at Einstein spaces. An important bridge from the low-dimensional theory to the general case is provided by a chapter on the intrinsic geometry of surfaces. The first half of the book, covering the geometry of curves and surfaces, would be suitable for a one-semester undergraduate course. The local and global theories of curves and surfaces are presented, including detailed discussions of surfaces of rotation, ruled surfaces, and minimal surfaces. The second half of the book, which could be used for a more advanced course, begins with an introduction to differentiable manifolds, Riemannian structures, and the curvature tensor. Two special topics are treated in detail: spaces of constant curvature and Einstein spaces. The main goal of the book is to get started in a fairly elementary way, then to guide the reader toward more sophisticated concepts and more advanced topics. There are many examples and exercises to help along the way. Numerous figures help the reader visualize key concepts and examples, especially in lower dimensions. For the second edition, a number of errors were corrected and some text and a number of figures have been added.

Physics Of Surfaces And Interfaces

Autore: Harald Ibach
Editore: Springer Science & Business Media
ISBN: 3540347097
Grandezza: 76,55 MB
Formato: PDF
Vista: 4642
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This graduate-level textbook covers the major developments in surface sciences of recent decades, from experimental tricks and basic techniques to the latest experimental methods and theoretical understanding. It is unique in its attempt to treat the physics of surfaces, thin films and interfaces, surface chemistry, thermodynamics, statistical physics and the physics of the solid/electrolyte interface in an integral manner, rather than in separate compartments. It is designed as a handbook for the researcher as well as a study-text for graduate students. Written explanations are supported by 350 graphs and illustrations.

Sensuous Surfaces

Autore: Jonathan Hay
Editore: Reaktion Books
ISBN: 1861898460
Grandezza: 62,41 MB
Formato: PDF, Mobi
Vista: 1102
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With Sensuous Surfaces, Jonathan Hay offers one of the most richly illustrated and in-depth introductions to the decorative arts of Ming and Qing dynasty China to date. Examining an immense number of works, he explores the materials and techniques, as well as the effects of patronage and taste, that together have formed a loose system of informal rules that define the decorative arts in early modern China. Hay demonstrates how this system—by engaging the actual and metaphorical potential of surface—guided the production and use of decorative arts from the late sixteenth century through the middle of the nineteenth, a period of explosive growth. He shows how the understanding of decorative arts made a fundamental contribution to the sensory education of China’s early modern urban population. Enriching his study with 280 color plates, he ultimately offers an elegant meditation, not only on Ming and Qing art but on the importance of the erotic in the form and function of decorations of all eras.