Plateau's Problem and the Calculus of Variations. (MN-35)

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Publisher : Princeton University Press
ISBN 13 : 1400860210
Total Pages : 159 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Plateau's Problem and the Calculus of Variations. (MN-35) by : Michael Struwe

Download or read book Plateau's Problem and the Calculus of Variations. (MN-35) written by Michael Struwe and published by Princeton University Press. This book was released on 2014-07-14 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and surfaces of prescribed constant mean curvature ("H-surfaces") and its analytical framework. A comprehensive overview of the classical existence and regularity theory for disc-type minimal and H-surfaces is given and recent advances toward general structure theorems concerning the existence of multiple solutions are explored in full detail. The book focuses on the author's derivation of the Morse-inequalities and in particular the mountain-pass-lemma of Morse-Tompkins and Shiffman for minimal surfaces and the proof of the existence of large (unstable) H-surfaces (Rellich's conjecture) due to Brezis-Coron, Steffen, and the author. Many related results are covered as well. More than the geometric aspects of Plateau's problem (which have been exhaustively covered elsewhere), the author stresses the analytic side. The emphasis lies on the variational method. Originally published in 1989. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Minimal Surfaces, Stratified Multivarifolds, and the Plateau Problem

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821898277
Total Pages : 424 pages
Book Rating : 4.8/5 (982 download)

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Book Synopsis Minimal Surfaces, Stratified Multivarifolds, and the Plateau Problem by : A. T. Fomenko

Download or read book Minimal Surfaces, Stratified Multivarifolds, and the Plateau Problem written by A. T. Fomenko and published by American Mathematical Soc.. This book was released on 1991-02-21 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plateau's problem is a scientific trend in modern mathematics that unites several different problems connected with the study of minimal surfaces. In its simplest version, Plateau's problem is concerned with finding a surface of least area that spans a given fixed one-dimensional contour in three-dimensional space--perhaps the best-known example of such surfaces is provided by soap films. From the mathematical point of view, such films are described as solutions of a second-order partial differential equation, so their behavior is quite complicated and has still not been thoroughly studied. Soap films, or, more generally, interfaces between physical media in equilibrium, arise in many applied problems in chemistry, physics, and also in nature. In applications, one finds not only two-dimensional but also multidimensional minimal surfaces that span fixed closed ``contours'' in some multidimensional Riemannian space. An exact mathematical statement of the problem of finding a surface of least area or volume requires the formulation of definitions of such fundamental concepts as a surface, its boundary, minimality of a surface, and so on. It turns out that there are several natural definitions of these concepts, which permit the study of minimal surfaces by different, and complementary, methods. In the framework of this comparatively small book it would be almost impossible to cover all aspects of the modern problem of Plateau, to which a vast literature has been devoted. However, this book makes a unique contribution to this literature, for the authors' guiding principle was to present the material with a maximum of clarity and a minimum of formalization. Chapter 1 contains historical background on Plateau's problem, referring to the period preceding the 1930s, and a description of its connections with the natural sciences. This part is intended for a very wide circle of readers and is accessible, for example, to first-year graduate students. The next part of the book, comprising Chapters 2-5, gives a fairly complete survey of various modern trends in Plateau's problem. This section is accessible to second- and third-year students specializing in physics and mathematics. The remaining chapters present a detailed exposition of one of these trends (the homotopic version of Plateau's problem in terms of stratified multivarifolds) and the Plateau problem in homogeneous symplectic spaces. This last part is intended for specialists interested in the modern theory of minimal surfaces and can be used for special courses; a command of the concepts of functional analysis is assumed.

The Problem of Plateau

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Publisher : World Scientific
ISBN 13 : 9789810205560
Total Pages : 350 pages
Book Rating : 4.2/5 (55 download)

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Book Synopsis The Problem of Plateau by : Themistocles M. Rassias

Download or read book The Problem of Plateau written by Themistocles M. Rassias and published by World Scientific. This book was released on 1992 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers written by eminent scientists from the international mathematical community, who present the latest information concerning the problem of Plateau after its classical solution by Jesse Douglas and Tibor Rad¢. The contributing papers provide insight and perspective on various problems in modern topics of Calculus of Variations, Global Differential Geometry and Global Nonlinear Analysis as related to the problem of Plateau.

Plateau's Problem

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827472
Total Pages : 96 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Plateau's Problem by : Frederick J. Almgren

Download or read book Plateau's Problem written by Frederick J. Almgren and published by American Mathematical Soc.. This book was released on 1966 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been many wonderful developments in the theory of minimal surfaces and geometric measure theory in the past 25 to 30 years. Many of the researchers who have produced these excellent results were inspired by this little book - or by Fred Almgren himself. The book is indeed a delightful invitation to the world of variational geometry. A central topic is Plateau's Problem, which is concerned with surfaces that model the behavior of soap films.When trying to resolve the problem, however, one soon finds that smooth surfaces are insufficient: Varifolds are needed. With varifolds, one can obtain geometrically meaningful solutions without having to know in advance all their possible singularities. This new tool makes possible much exciting new analysis and many new results. Plateau's problem and varifolds live in the world of geometric measure theory, where differential geometry and measure theory combine to solve problems which have variational aspects. The author's hope in writing this book was to encourage young mathematicians to study this fascinating subject further. Judging from the success of his students, it achieves this exceedingly well.

On the Problem of Plateau

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Publisher : Springer
ISBN 13 : 3642991181
Total Pages : 114 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis On the Problem of Plateau by : Tibor Radó

Download or read book On the Problem of Plateau written by Tibor Radó and published by Springer. This book was released on 2013-11-11 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most immediate one-dimensional variation problem is certainly the problem of determining an arc of curve, bounded by two given and having a smallest possible length. The problem of deter points mining and investigating a surface with given boundary and with a smallest possible area might then be considered as the most immediate two-dimensional variation problem. The classical work, concerned with the latter problem, is summed up in a beautiful and enthusiastic manner in DARBOUX'S Theorie generale des surfaces, vol. I, and in the first volume of the collected papers of H. A. SCHWARZ. The purpose of the present report is to give a picture of the progress achieved in this problem during the period beginning with the Thesis of LEBESGUE (1902). Our problem has always been considered as the outstanding example for the application of Analysis and Geometry to each other, and the recent work in the problem will certainly strengthen this opinion. It seems, in particular, that this recent work will be a source of inspiration to the Analyst interested in Calculus of Variations and to the Geometer interested in the theory of the area and in the theory of the conformal maps of general surfaces. These aspects of the subject will be especially emphasized in this report. The report consists of six Chapters. The first three Chapters are important tools or concerned with investigations which yielded either important ideas for the proofs of the existence theorems reviewed in the last three Chapters.

Engineering Stochastic Local Search Algorithms. Designing, Implementing and Analyzing Effective Heuristics

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Publisher : Springer
ISBN 13 : 3642037518
Total Pages : 155 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Engineering Stochastic Local Search Algorithms. Designing, Implementing and Analyzing Effective Heuristics by : Thomas Stützle

Download or read book Engineering Stochastic Local Search Algorithms. Designing, Implementing and Analyzing Effective Heuristics written by Thomas Stützle and published by Springer. This book was released on 2009-09-01 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic local search (SLS) algorithms are established tools for the solution of computationally hard problems arising in computer science, business adm- istration, engineering, biology, and various other disciplines. To a large extent, their success is due to their conceptual simplicity, broad applicability and high performance for many important problems studied in academia and enco- tered in real-world applications. SLS methods include a wide spectrum of te- niques, ranging from constructive search procedures and iterative improvement algorithms to more complex SLS methods, such as ant colony optimization, evolutionary computation, iterated local search, memetic algorithms, simulated annealing, tabu search, and variable neighborhood search. Historically, the development of e?ective SLS algorithms has been guided to a large extent by experience and intuition. In recent years, it has become - creasingly evident that success with SLS algorithms depends not merely on the adoption and e?cient implementation of the most appropriate SLS technique for a given problem, but also on the mastery of a more complex algorithm - gineering process. Challenges in SLS algorithm development arise partly from the complexity of the problems being tackled and in part from the many - grees of freedom researchers and practitioners encounter when developing SLS algorithms. Crucial aspects in the SLS algorithm development comprise al- rithm design, empirical analysis techniques, problem-speci?c background, and background knowledge in several key disciplines and areas, including computer science, operations research, arti?cial intelligence, and statistics.

Deleuze and Guattari's 'A Thousand Plateaus'

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Publisher : A&C Black
ISBN 13 : 144116250X
Total Pages : 192 pages
Book Rating : 4.4/5 (411 download)

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Book Synopsis Deleuze and Guattari's 'A Thousand Plateaus' by : Eugene W. Holland

Download or read book Deleuze and Guattari's 'A Thousand Plateaus' written by Eugene W. Holland and published by A&C Black. This book was released on 2013-10-10 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Thousand Plateaus is the engaging and influential second part of Capitalism and Schizophrenia, the remarkable collaborative project written by the philosopher Gilles Deleuze and the psychoanalyst Félix Guattari. This hugely important text is a work of staggering complexity that made a major contribution to contemporary Continental philosophy, yet remains distinctly challenging for readers in a number of disciplines. Deleuze and Guattari's 'A Thousand Plateaus': A Reader's Guide offers a concise and accessible introduction to this extremely important and yet challenging work. Written specifically to meet the needs of students coming to Deleuze and Guattari for the first time, the book offers guidance on: - Philosophical and historical context - Key themes - Reading the text - Reception and influence - Further reading

Deleuze and Guattari's A Thousand Plateaus

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Publisher : Edinburgh University Press
ISBN 13 : 0748686479
Total Pages : 272 pages
Book Rating : 4.7/5 (486 download)

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Book Synopsis Deleuze and Guattari's A Thousand Plateaus by : Brent Adkins

Download or read book Deleuze and Guattari's A Thousand Plateaus written by Brent Adkins and published by Edinburgh University Press. This book was released on 2015-05-18 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using clear language and numerous examples, each chapter of this guide analyses an individual plateau from Deleuze and Guattari's A Thousand Plateaus, interpreting the work for students and scholars.

Parallel Problem Solving from Nature - PPSN X

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Publisher : Springer
ISBN 13 : 3540877002
Total Pages : 1183 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Parallel Problem Solving from Nature - PPSN X by : Günter Rudolph

Download or read book Parallel Problem Solving from Nature - PPSN X written by Günter Rudolph and published by Springer. This book was released on 2008-09-16 with total page 1183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Parallel Problem Solving from Nature, PPSN 2008, held in Dortmund, Germany, in September 2008. The 114 revised full papers presented were carefully reviewed and selected from 206 submissions. The conference covers a wide range of topics, such as evolutionary computation, quantum computation, molecular computation, neural computation, artificial life, swarm intelligence, artificial ant systems, artificial immune systems, self-organizing systems, emergent behaviors, and applications to real-world problems. The paper are organized in topical sections on formal theory, new techniques, experimental analysis, multiobjective optimization, hybrid methods, and applications.

Library of Congress Subject Headings

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Publisher :
ISBN 13 :
Total Pages : 1596 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Library of Congress Subject Headings by : Library of Congress. Cataloging Policy and Support Office

Download or read book Library of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and published by . This book was released on 2009 with total page 1596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Library of Congress Subject Headings

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Publisher :
ISBN 13 :
Total Pages : 1624 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Library of Congress Subject Headings by : Library of Congress

Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2013 with total page 1624 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parallel Problem Solving from Nature - PPSN IX

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Publisher : Springer
ISBN 13 : 3540389911
Total Pages : 1079 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Parallel Problem Solving from Nature - PPSN IX by : Thomas Philip Runarsson

Download or read book Parallel Problem Solving from Nature - PPSN IX written by Thomas Philip Runarsson and published by Springer. This book was released on 2006-10-06 with total page 1079 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Conference on Parallel Problem Solving from Nature, PPSN 2006. The book presents 106 revised full papers covering a wide range of topics, from evolutionary computation to swarm intelligence and bio-inspired computing to real-world applications. These are organized in topical sections on theory, new algorithms, applications, multi-objective optimization, evolutionary learning, as well as representations, operators, and empirical evaluation.

Historical Survey

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Publisher : CRC Press
ISBN 13 : 9782881247002
Total Pages : 284 pages
Book Rating : 4.2/5 (47 download)

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Book Synopsis Historical Survey by : A.T. Fomenko

Download or read book Historical Survey written by A.T. Fomenko and published by CRC Press. This book was released on 1990 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Plateau Effect

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Publisher : Penguin
ISBN 13 : 1101624248
Total Pages : 296 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis The Plateau Effect by : Bob Sullivan

Download or read book The Plateau Effect written by Bob Sullivan and published by Penguin. This book was released on 2013-05-02 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Plateau Effect is a powerful law of nature that affects everyone. Learn to identify plateaus and break through any stagnancy in your life— from diet and exercise, to work, to relationships. The Plateau Effect shows how athletes, scientists, therapists, companies, and musicians around the world are learning to break through their plateaus—to turn off the forces that cause people to “get used to” things—and turn on human potential and happiness in ways that seemed impossible. The book identifies three key flattening forces that generate plateaus, two principles to guide readers in engineering a plateau’s destruction, and three actions to take to achieve peak behavior. It helps us to stop wasting time on things that are no longer of value and to focus on the things that leverage our time and energy in spectacular ways. Anything you want to do better—play guitar, make friends, communicate with your children, run a business—you can accomplish faster by understanding the plateau effect.

Library of Congress Subject Headings: P-Z

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Publisher :
ISBN 13 :
Total Pages : 1546 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Library of Congress Subject Headings: P-Z by : Library of Congress. Subject Cataloging Division

Download or read book Library of Congress Subject Headings: P-Z written by Library of Congress. Subject Cataloging Division and published by . This book was released on 1989 with total page 1546 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thousand Plateaus and Philosophy

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Publisher : Edinburgh University Press
ISBN 13 : 0748697276
Total Pages : 320 pages
Book Rating : 4.7/5 (486 download)

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Book Synopsis Thousand Plateaus and Philosophy by : Henry Somers-Hall

Download or read book Thousand Plateaus and Philosophy written by Henry Somers-Hall and published by Edinburgh University Press. This book was released on 2017-12-20 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume brings together a team of international specialists on Deleuze and Guattari to provide in-depth critical studies of each plateau of their major work, A Thousand Plateaus. It combines an overview of the text with deep scholarship and brings a renewed focus on the philosophical significance of their project.'A Thousand Plateaus' represents a whole new way of doing philosophy. This collection supports the critical reception of Deleuze and Guattari's text as one of the most important and influential works of modern theory. Key Features : emphasises the philosophical nature of A Thousand Plateaus, provides detailed coverage of the text as a whole, brings together cutting edge research from some of the leading lights in scholarship on Deleuze and Guattari, an ideal companion to a plateau-by-plateau reading of Deleuze and Guattari's work."--Back cover

The Plateau Problem

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Publisher : CRC Press
ISBN 13 : 9782881247026
Total Pages : pages
Book Rating : 4.2/5 (47 download)

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Book Synopsis The Plateau Problem by : A.T. Fomenko

Download or read book The Plateau Problem written by A.T. Fomenko and published by CRC Press. This book was released on 1990-01-31 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: