Mostly Surfaces

Mostly Surfaces PDF 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.

Mostly Surfaces

Mostly Surfaces PDF Author: Richard Evan Schwartz
Publisher: American Mathematical Soc.
ISBN: 0821853686
Category : Mathematics
Languages : en
Pages : 330

Get Book Here

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.

Lectures on Surfaces

Lectures on Surfaces PDF 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.

Alternative Art Surfaces

Alternative Art Surfaces PDF Author: Sandra Duran Wilson
Publisher: Penguin
ISBN: 1440329540
Category : Art
Languages : en
Pages : 144

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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

Topology of Surfaces

Topology of Surfaces PDF Author: L.Christine Kinsey
Publisher: Springer Science & Business Media
ISBN: 9780387941028
Category : Mathematics
Languages : en
Pages : 304

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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.

Algebraic Surfaces

Algebraic Surfaces PDF 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.

Sensuous Surfaces

Sensuous Surfaces PDF 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.

Frequency Selective Surfaces

Frequency Selective Surfaces PDF Author: Ben A. Munk
Publisher: John Wiley & Sons
ISBN: 0471723762
Category : Technology & Engineering
Languages : en
Pages : 442

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Book Description
"...Ben has been the world-wide guru of this technology, providing support to applications of all types. His genius lies in handling the extremely complex mathematics, while at the same time seeing the practical matters involved in applying the results. As this book clearly shows, Ben is able to relate to novices interested in using frequency selective surfaces and to explain technical details in an understandable way, liberally spiced with his special brand of humor... Ben Munk has written a book that represents the epitome of practical understanding of Frequency Selective Surfaces. He deserves all honors that might befall him for this achievement." -William F. Bahret. Mr. W. Bahret was with the United States Air Force but is now retired. From the early 50s he sponsored numerous projects concerning Radar Cross Section of airborne platforms in particular antennas and absorbers. Under his leadership grew many of the concepts used extensively today, as for example the metallic radome. In fact, he is by many considered to be the father of stealth technology. "This book compiles under one cover most of Munk's research over the past three decades. It is woven with the physical insight that he has gained and further developed as his career has grown. Ben uses mathematics to whatever extent is needed, and only as needed. This material is written so that it should be useful to engineers with a background in electromagnetics. I strongly recommend this book to any engineer with any interest in phased arrays and/or frequency selective surfaces. The physical insight that may be gained from this book will enhance their ability to treat additional array problems of their own." -Leon Peters, Jr. Professor Leon Peters, Jr., was a professor at the Ohio State University but is now retired. From the early sixties he worked on, among many other things, RCS problems involving antennas and absorbers. This book presents the complete derivation of the Periodic Method of Moments, which enables the reader to calculate quickly and efficiently the transmission and reflection properties of multi-layered Frequency Selective Surfaces comprised of either wire and/or slot elements of arbitrary shape and located in a stratified medium. However, it also gives the reader the tools to analyze multi-layered FSS's leading to specific designs of the very important Hybrid Radome, which is characterized by constant band width with angle of incidence and polarization. Further, it investigates in great detail bandstop filters with large as well as narrow bandwidth (dichroic surfaces). It also discusses for the first time, lossy elements used in producing Circuit Analog absorbers. Finally, the last chapter deals with power breakdown of FSS's when exposed to pulsed signals with high peak power. The approach followed by most other presentations simply consists of expanding the fields around the FSS, matching the boundary conditions and writing a computer program. While this enables the user to obtain calculated results, it gives very little physical insight and no help in how to design actual multi-layered FSS's. In contrast, the approach used in this title analyzes all curves of desired shapes. In particular, it discusses in great detail how to produce radomes made of FSS's located in a stratified medium (Hybrid Radomes), with constant band width for all angles of incidence and polarizations. Numerous examples are given of great practical interest. More specifically, Chapter 7 deals with the theory and design of bandpass radomes with constant bandwidth and flat tops. Examples are given for mono-, bi- and tri-planar designs. Chapter 8 deals with bandstop filters with broad as well as narrow bandwidth. Chapter 9 deals with multi-layered FSS of lossy elements, namely the so-called Circuit Analog Absorbers, designed to yield outstanding absorption with more than a decade of bandwidth. Features material previously labeled as classified by the United States Air Force.

Physics at Surfaces

Physics at Surfaces PDF Author: Andrew Zangwill
Publisher: Cambridge University Press
ISBN: 1316583260
Category : Science
Languages : en
Pages : 470

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Book Description
Physics at Surfaces is a unique graduate-level introduction to the physics and chemical physics of solid surfaces, and atoms and molecules that interact with solid surfaces. A subject of keen scientific inquiry since the last century, surface physics emerged as an independent discipline only in the late 1960s as a result of the development of ultra-high vacuum technology and high speed digital computers. With these tools, reliable experimental measurements and theoretical calculations could at last be compared. Progress in the last decade has been truly striking. This volume provides a synthesis of the entire field of surface physics from the perspective of a modern condensed matter physicist with a healthy interest in chemical physics. The exposition intertwines experiment and theory whenever possible, although there is little detailed discussion of technique. This much-needed text will be invaluable to graduate students and researchers in condensed matter physics, physical chemistry and materials science working in, or taking graduate courses in, surface science.

A Course in Minimal Surfaces

A Course in Minimal Surfaces PDF 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.

Curves and Surfaces

Curves and Surfaces PDF Author: Sebastián Montiel
Publisher: American Mathematical Soc.
ISBN: 0821847635
Category : Mathematics
Languages : en
Pages : 395

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Book Description
Offers a focused point of view on the differential geometry of curves and surfaces. This monograph treats the Gauss - Bonnet theorem and discusses the Euler characteristic. It also covers Alexandrov's theorem on embedded compact surfaces in R3 with constant mean curvature.