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Author: Muriel Emanuel
Publisher: Springer
ISBN: 134904184X
Category : Architecture
Languages : en
Pages : 935
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Book Description
Author: Muriel Emanuel
Publisher: Springer
ISBN: 134904184X
Category : Architecture
Languages : en
Pages : 935
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Book Description
Author: Ulrich Dierkes
Publisher: Springer Science & Business Media
ISBN: 3642117007
Category : Mathematics
Languages : en
Pages : 634
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Book Description
Regularity of Minimal Surfaces begins with a survey of minimal surfaces with free boundaries. Following this, the basic results concerning the boundary behaviour of minimal surfaces and H-surfaces with fixed or free boundaries are studied. In particular, the asymptotic expansions at interior and boundary branch points are derived, leading to general Gauss-Bonnet formulas. Furthermore, gradient estimates and asymptotic expansions for minimal surfaces with only piecewise smooth boundaries are obtained. One of the main features of free boundary value problems for minimal surfaces is that, for principal reasons, it is impossible to derive a priori estimates. Therefore regularity proofs for non-minimizers have to be based on indirect reasoning using monotonicity formulas. This is followed by a long chapter discussing geometric properties of minimal and H-surfaces such as enclosure theorems and isoperimetric inequalities, leading to the discussion of obstacle problems and of Plateau ́s problem for H-surfaces in a Riemannian manifold. A natural generalization of the isoperimetric problem is the so-called thread problem, dealing with minimal surfaces whose boundary consists of a fixed arc of given length. Existence and regularity of solutions are discussed. The final chapter on branch points presents a new approach to the theorem that area minimizing solutions of Plateau ́s problem have no interior branch points.
Author: Philip Steadman
Publisher: Routledge
ISBN: 1134062338
Category : Architecture
Languages : en
Pages : 609
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Book Description
This book tells the history of the many analogies that have been made between the evolution of organisms and the human production of artefacts, especially buildings. It examines the effects of these analogies on architectural and design theory and considers how recent biological thinking has relevance for design. Architects and designers have looked to biology for inspiration since the early 19th century. They have sought not just to imitate the forms of plants and animals, but to find methods in design analogous to the processes of growth and evolution in nature. This new revised edition of this classic work adds an extended Afterword covering recent developments such as the introduction of computer methods in design in the 1980s and ‘90s, which have made possible a new kind of ‘biomorphic’ architecture through ‘genetic algorithms’ and other programming techniques.
Author: Ulrich Dierkes
Publisher: Springer Science & Business Media
ISBN: 3642116981
Category : Mathematics
Languages : en
Pages : 699
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Book Description
Minimal Surfaces is the first volume of a three volume treatise on minimal surfaces (Grundlehren Nr. 339-341). Each volume can be read and studied independently of the others. The central theme is boundary value problems for minimal surfaces. The treatise is a substantially revised and extended version of the monograph Minimal Surfaces I, II (Grundlehren Nr. 295 & 296). The first volume begins with an exposition of basic ideas of the theory of surfaces in three-dimensional Euclidean space, followed by an introduction of minimal surfaces as stationary points of area, or equivalently, as surfaces of zero mean curvature. The final definition of a minimal surface is that of a nonconstant harmonic mapping X: \Omega\to\R^3 which is conformally parametrized on \Omega\subset\R^2 and may have branch points. Thereafter the classical theory of minimal surfaces is surveyed, comprising many examples, a treatment of Björling ́s initial value problem, reflection principles, a formula of the second variation of area, the theorems of Bernstein, Heinz, Osserman, and Fujimoto. The second part of this volume begins with a survey of Plateau ́s problem and of some of its modifications. One of the main features is a new, completely elementary proof of the fact that area A and Dirichlet integral D have the same infimum in the class C(G) of admissible surfaces spanning a prescribed contour G. This leads to a new, simplified solution of the simultaneous problem of minimizing A and D in C(G), as well as to new proofs of the mapping theorems of Riemann and Korn-Lichtenstein, and to a new solution of the simultaneous Douglas problem for A and D where G consists of several closed components. Then basic facts of stable minimal surfaces are derived; this is done in the context of stable H-surfaces (i.e. of stable surfaces of prescribed mean curvature H), especially of cmc-surfaces (H = const), and leads to curvature estimates for stable, immersed cmc-surfaces and to Nitsche ́s uniqueness theorem and Tomi ́s finiteness result. In addition, a theory of unstable solutions of Plateau ́s problems is developed which is based on Courant ́s mountain pass lemma. Furthermore, Dirichlet ́s problem for nonparametric H-surfaces is solved, using the solution of Plateau ́s problem for H-surfaces and the pertinent estimates.
Author: Oliver Herwig
Publisher: Prestel Publishing
ISBN:
Category : Architecture
Languages : en
Pages : 172
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Book Description
From Bruno Taut's glass house to the Crystal Palace, geodesic domes to the Millennium Dome, this lavishly illustrated exploration of lightness in architecture explains how and why the movement began, and shows where it will take us in the future. Architecture has been moving towards lightness since the beginning of the twentieth century. As new building materials become available, and as land disappears, architects have focused on efficiency, impermanence and flexibility in structures. Illustrating the achievements of the most visionary architects of the past and present, Featherweights traces the evolution of lightness in architecture from the fantastic glass structures of the early twentieth century to the latest hi-tech materials for the third millennium. Covering everything from pre-fab houses to inflatable buildings, utopian architecture to virtual cities, this fascinating exploration illustrates the ongoing dialogue between shelter and society and offers exciting glimpses into a future in which gravity is optional.
Author: Ulrich Dierkes
Publisher: Springer Science & Business Media
ISBN: 3662087766
Category : Mathematics
Languages : en
Pages : 435
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Book Description
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.
Author: Winfried Nerdinger
Publisher: Birkhauser
ISBN:
Category : Architecture
Languages : en
Pages : 544
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Book Description
Author: F. Escrig
Publisher:
ISBN:
Category : Architecture
Languages : en
Pages : 456
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Book Description
"Structures which move in the course of normal use, or which have to be assembled at high speed on a relatively unprepared sight, offer a particular challenge to the designer. The interaction between the structure and the mechanism by which it moves is important for mobile frameworks. The speed of assembly (and the implications to logistics, materials and cost) is a major factor in many structures." "This book contains the proceedings of the Second International Conference on Mobile and Rapidly Assembled Structures (MARAS 96) held in Seville in June 1996. The book covers a range of topics including Deployable Structures, Fabric Architecture, Materials, Architectural Concepts, Geometry, Bridges, Transport, Towers and Masts, and Retractable Structures." "The proceedings will be of interest to engineers, architects and researchers concerned with the design, analysis, manufacture and erection of rapidly assembled structures."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved
Author:
Publisher:
ISBN:
Category : English imprints
Languages : en
Pages : 1140
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Book Description
Author:
Publisher:
ISBN:
Category : Architecture
Languages : en
Pages : 680
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Book Description
Indexes more than 1,000 periodicals published worldwide on archaeology, city planning, interior design, and historic preservation, as well as architecture.
