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Author: A. B. Katok
Publisher: American Mathematical Soc.
ISBN: 0821846795
Category : Mathematics
Languages : en
Pages : 307
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Book Description
Surfaces are among the most common and easily visualized mathematical objects, and their study brings into focus fundamental ideas, concepts, and methods from geometry, topology, complex analysis, Morse theory, and group theory. This book introduces many of the principal actors - the round sphere, flat torus, Mobius strip, and Klein bottle.
Author: A. B. Katok
Publisher: American Mathematical Soc.
ISBN: 0821846795
Category : Mathematics
Languages : en
Pages : 307
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Book Description
Surfaces are among the most common and easily visualized mathematical objects, and their study brings into focus fundamental ideas, concepts, and methods from geometry, topology, complex analysis, Morse theory, and group theory. This book introduces many of the principal actors - the round sphere, flat torus, Mobius strip, and Klein bottle.
Author: Richard Evan Schwartz
Publisher: American Mathematical Soc.
ISBN: 0821853686
Category : Mathematics
Languages : en
Pages : 330
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Book Description
The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. --from publisher description.
Author: J.J. Bikerman
Publisher: Elsevier
ISBN: 0323163041
Category : Technology & Engineering
Languages : en
Pages : 489
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Book Description
Physical Surfaces deals with the basic concepts of the physics of surfaces, including the nature of the surface pressure of unimolecular films and the equilibrium pressure of these films. The effect of particle size on capillary pressure, the surface energy and the cuticular energy of solids, and the fundamentals of wetting are also examined. This book is comprised of nine chapters and begins with a discussion on the mechanics and physical chemistry of liquid surfaces, with emphasis on capillarity and surface tension. The following chapters focus on liquid-liquid interfaces, foams and emulsions, and solid surfaces. Interfacial tension is analyzed in relation to miscibility and surface tension, along with contact angles in gas-liquid-liquid systems. The chapter on wetting looks at theories of contact angle, its measurement, and hysteresis. Adsorption and electric surface phenomena are also explored, together with adhesion and friction. This monograph will be a valuable resource for physical chemists and physicists.
Author: L.Christine Kinsey
Publisher: Springer Science & Business Media
ISBN: 1461208998
Category : Mathematics
Languages : en
Pages : 290
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Book Description
" . . . that famous pedagogical method whereby one begins with the general and proceeds to the particular only after the student is too confused to understand even that anymore. " Michael Spivak This text was written as an antidote to topology courses such as Spivak It is meant to provide the student with an experience in geomet describes. ric topology. Traditionally, the only topology an undergraduate might see is point-set topology at a fairly abstract level. The next course the average stu dent would take would be a graduate course in algebraic topology, and such courses are commonly very homological in nature, providing quick access to current research, but not developing any intuition or geometric sense. I have tried in this text to provide the undergraduate with a pragmatic introduction to the field, including a sampling from point-set, geometric, and algebraic topology, and trying not to include anything that the student cannot immediately experience. The exercises are to be considered as an in tegral part of the text and, ideally, should be addressed when they are met, rather than at the end of a block of material. Many of them are quite easy and are intended to give the student practice working with the definitions and digesting the current topic before proceeding. The appendix provides a brief survey of the group theory needed.
Author: Sandra Duran Wilson
Publisher: Penguin
ISBN: 1440329540
Category : Art
Languages : en
Pages : 500
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Book Description
Indulge your creative curiosity and take your art off the canvas, off the board, and into the brave new world of Alternative Art Surfaces! Mixed-media powerhouse duo Darlene Olivia McElroy and Sandra Duran Wilson, authors of the best-selling books Image Transfer Workshop, Surface Treatment Workshop and Mixed Media Revolution, blaze new creative territory with more than 100 techniques for working on more than 35 unique surfaces in this, their jam-packed fourth book!You'll find something new and exciting on every page: • More than 35 alternative surfaces, including galvanized tin, mica, rawhide, nylon, unsanded grout, slate, spray foam and more • More than 100 techniques for painting, sculpting, creating textures, encasing, carving, printing, transferring and more • More than 125 tips for troubleshooting, preparing your surfaces, finishing and mounting your art, and taking your work to the next level • More than 50 inspiring finished pieces of art showcasing the surfaces and techniques
Author: Simon Donaldson
Publisher: Oxford University Press
ISBN: 0198526393
Category : Mathematics
Languages : en
Pages : 301
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Book Description
An authoritative but accessible text on one dimensional complex manifolds or Riemann surfaces. Dealing with the main results on Riemann surfaces from a variety of points of view; it pulls together material from global analysis, topology, and algebraic geometry, and covers the essential mathematical methods and tools.
Author: Lucian Badescu
Publisher: Springer Science & Business Media
ISBN: 147573512X
Category : Mathematics
Languages : en
Pages : 261
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Book Description
This book presents fundamentals from the theory of algebraic surfaces, including areas such as rational singularities of surfaces and their relation with Grothendieck duality theory, numerical criteria for contractibility of curves on an algebraic surface, and the problem of minimal models of surfaces. In fact, the classification of surfaces is the main scope of this book and the author presents the approach developed by Mumford and Bombieri. Chapters also cover the Zariski decomposition of effective divisors and graded algebras.
Author: Jonathan Hay
Publisher: Reaktion Books
ISBN: 1861898460
Category : Art
Languages : en
Pages : 442
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Book Description
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.
Author: Roald Hoffmann
Publisher: John Wiley & Sons
ISBN: 1119815142
Category : Science
Languages : de
Pages : 164
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Book Description
Dieses einzigartige Buch läßt Chemie und Physik im festen Zustand und auf Oberflächen 'zusammentreffen'. In einer lebhaften und anschaulichen Weise bringt es Chemikern die Sprache bei, mit der sie die Elektronenstruktur ausgedehnter Systeme verstehen lernen können. Gleichzeitig zeigt es, wie auch von Seiten der Chemie Modelle über den festen Zustand sowie über Bindungen und Reaktivität von Oberflächen erstellt werden können. Das Buch bedient sich zunächst der Sprache von Kristallorbitalen, Bandstrukturen und Zustandsdichten. Danach stellt es die Werkzeuge bereit, mit denen der Leser weg von den stark delokalisierten Orbitalen des Festkörpers gelangt, darunter der Zerfall von Zustandsdichten und die Population von Kristallorbital-Overlaps. Mit diesen Werkzeugen schafft es der Autor, detaillierte quantenmechanische Berechnungen mit der chemischen Betrachtungsweise mit Grenzorbitalen zu verknüpfen. Die beschriebenen Anwendungen umfassen eine allgemeine Vorstellung der Chemisorption, Bindungsbildung und -zerfall im festen Zustand, Bindungen im Metall, die Elektronenstruktur ausgewählter leitender und supraleitender Verbindungen sowie die für die Deformation ausgedehnter Systeme verantwortlichen Kräfte.
Author: Tobias Holck Colding
Publisher: American Mathematical Society
ISBN: 1470476401
Category : Mathematics
Languages : en
Pages : 330
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Book Description
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.
