Minimal
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Minimal Architecture
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Author : Ilka Ruby
language : en
Publisher: Prestel Publishing
Release Date : 2003
Minimal Architecture written by Ilka Ruby and has been published by Prestel Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Architecture categories.
What is minimalism? Or, more specifically, what isn't? In this fascinating aesthetic voyage, three experts in the field of architecture and art history trace the development of minimalism as a style and offer perspectives on the directions the movement is taking as it morphs towards the future. In double-page spreads filled with color photographs of the most innovative minimalist projects, this book illustrates three principal movements: the traditional, as practiced by Herzog & de Meuron in early works, Adolf Krischanitz and Tadao Ando; the ambiguous, in which architects not commonly associated with minimalism, such as OMA or Zaha Hadid, use it for specific projects; and the subversive, which appropriates minimalist concepts across a variety of new fields as exemplified in the architecture of Shigeru Ban or Lacaton & Vassal.
The Global Theory Of Minimal Surfaces In Flat Spaces
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Author : William Meeks
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-03-25
The Global Theory Of Minimal Surfaces In Flat Spaces written by William Meeks and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-03-25 with Education categories.
In the second half of the twentieth century the global theory of minimal surface in flat space had an unexpected and rapid blossoming. Some of the classical problems were solved and new classes of minimal surfaces found. Minimal surfaces are now studied from several different viewpoints using methods and techniques from analysis (real and complex), topology and geometry. In this lecture course, Meeks, Ros and Rosenberg, three of the main architects of the modern edifice, present some of the more recent methods and developments of the theory. The topics include moduli, asymptotic geometry and surfaces of constant mean curvature in the hyperbolic space.
Minimal Surfaces Stratified Multivarifolds And The Plateau Problem
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Author : A. T. Fomenko
language : en
Publisher: American Mathematical Soc.
Release Date : 1991-02-21
Minimal Surfaces Stratified Multivarifolds And The Plateau Problem written by A. T. Fomenko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-02-21 with Mathematics categories.
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.
Minimal Networksthe Steiner Problem And Its Generalizations
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Author : Alexander O. Ivanov
language : en
Publisher: CRC Press
Release Date : 1994-03-16
Minimal Networksthe Steiner Problem And Its Generalizations written by Alexander O. Ivanov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-16 with Mathematics categories.
This book focuses on the classic Steiner Problem and illustrates how results of the problem's development have generated the Theory of Minimal Networks, that is systems of "rubber" branching threads of minimal length. This theory demonstrates a brilliant interconnection among differential and computational geometry, topology, variational calculus, and graph theory. All necessary preliminary information is included, and the book's simplified format and nearly 150 illustrations and tables will help readers develop a concrete understanding of the material. All nontrivial statements are proved, and plenty of exercises are included.
Minimal Surfaces Ii
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Author : Ulrich Dierkes
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Minimal Surfaces Ii written by Ulrich Dierkes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
Minimal Surfaces I is an introduction to the field of minimal surfaces and a presentation of the classical theory as well as of parts of the modern development centered around boundary value problems. Part II deals with the boundary behaviour of minimal surfaces. Part I is particularly apt for students who want to enter this interesting area of analysis and differential geometry which during the last 25 years of mathematical research has been very active and productive. Surveys of various subareas will lead the student to the current frontiers of knowledge and can also be useful to the researcher. The lecturer can easily base courses of one or two semesters on differential geometry on Vol. 1, as many topics are worked out in great detail. Numerous computer-generated illustrations of old and new minimal surfaces are included to support intuition and imagination. Part 2 leads the reader up to the regularity theory for nonlinear elliptic boundary value problems illustrated by a particular and fascinating topic. There is no comparably comprehensive treatment of the problem of boundary regularity of minimal surfaces available in book form. This long-awaited book is a timely and welcome addition to the mathematical literature.
Minimal Rationality
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Author : Christopher Cherniak
language : en
Publisher: MIT Press
Release Date : 1990-03-14
Minimal Rationality written by Christopher Cherniak and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-03-14 with Psychology categories.
In Minimal Rationality, Christopher Cherniak boldly challenges the myth of Man the the Rational Animal and the central role that the "perfectly rational agent" has had in philosophy, psychology, and other cognitive sciences, as well as in economics. His book presents a more realistic theory based on the limits to rationality which can play a similar generative role in the human sciences, and it seeks to determine the minimal rationality an actual agent must possess.
A Survey On Classical Minimal Surface Theory
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Author : William Meeks
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
A Survey On Classical Minimal Surface Theory written by William Meeks and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Meeks and Perez present a survey of recent spectacular successes in classical minimal surface theory. The classification of minimal planar domains in three-dimensional Euclidean space provides the focus of the account. The proof of the classification depends on the work of many currently active leading mathematicians, thus making contact with much of the most important results in the field. Through the telling of the story of the classification of minimal planar domains, the general mathematician may catch a glimpse of the intrinsic beauty of this theory and the authors' perspective of what is happening at this historical moment in a very classical subject. This book includes an updated tour through some of the recent advances in the theory, such as Colding-Minicozzi theory, minimal laminations, the ordering theorem for the space of ends, conformal structure of minimal surfaces, minimal annular ends with infinite total curvature, the embedded Calabi-Yau problem, local pictures on the scale of curvature and topology, the local removable singularity theorem, embedded minimal surfaces of finite genus, topological classification of minimal surfaces, uniqueness of Scherk singly periodic minimal surfaces, and outstanding problems and conjectures.
Minimal Weak Truth Table Degrees And Computably Enumerable Turing Degrees
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Author : Rodney G. Downey
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-09-28
Minimal Weak Truth Table Degrees And Computably Enumerable Turing Degrees written by Rodney G. Downey and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-28 with Mathematics categories.
First, there are sets with minimal weak truth table degree which bound noncomputable computably enumerable sets under Turing reducibility. Second, no set with computable enumerable Turing degree can have minimal weak truth table degree. Third, no $Delta^0_2$ set which Turing bounds a promptly simple set can have minimal weak truth table degree.
A Course In Minimal Surfaces
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Author : Tobias Holck Colding
language : en
Publisher: American Mathematical Society
Release Date : 2024-01-18
A Course In Minimal Surfaces written by Tobias Holck Colding and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-18 with Mathematics categories.
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.
Minimal Surfaces
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Author : Jean Constant
language : en
Publisher: Hermay NM
Release Date : 2022-08-09
Minimal Surfaces written by Jean Constant and has been published by Hermay NM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-09 with Mathematics categories.
A 52 illustration two-part book on the exploration of minimal surfaces. Part 1 explores the surface from an artistic perspective, and part 2 visually reproduces the equations that stand in their own right as a beautiful expression of pure geometry. Each book includes notes from an informal work-in-progress diary and references directing the reader to the images’ original mathematical source. Both sides complement each other in helping us appreciate better these unrivaled expressions of our environment found in nature, from butterflies to black holes, and studied in statistics, material sciences, and architecture.