WorldCat Identities

Hildebrandt, Stefan

Overview
Works: 164 works in 496 publications in 5 languages and 7,347 library holdings
Genres: Conference proceedings  History 
Roles: Editor, Honoree
Classifications: BH301.N3, 117
Publication Timeline
Key
Publications about  Stefan Hildebrandt Publications about Stefan Hildebrandt
Publications by  Stefan Hildebrandt Publications by Stefan Hildebrandt
Most widely held works by Stefan Hildebrandt
Mathematics and optimal form by Stefan Hildebrandt ( Book )
24 editions published between 1984 and 1998 in 4 languages and held by 1,450 WorldCat member libraries worldwide
The parsimonious universe : shape and form in the natural world by Stefan Hildebrandt ( Book )
12 editions published between 1995 and 2013 in English and held by 677 WorldCat member libraries worldwide
Can one set of basic laws account for both the recurring themes and the infinite variety of nature's designs? When it comes to shape and form, does nature simply proceed in the easiest, most efficient way? Complete answers to these questions are likely never to be discovered. Still, down through the ages, the investigation of symmetry and regularity in nature has yielded some fascinating and surprising insights. Out of this inquiry comes a specific branch of mathematics - the calculus of variations - which explores questions of optimization: Is the igloo the optimal housing form for minimizing heat loss? Do bees use the least possible amount of wax when building their hives? In The Parsimonious Universe, Stefan Hildebrandt and Anthony Tromba invite readers to join the search for the mathematical underpinnings of natural shapes and form. Moving from ancient times to the nuclear age, the book looks at centuries of evidence that the physical world adheres to the principle of the economy of means - meaning that nature achieves efficiency by being rather stingy with the energy it expends. On almost every page can be found historical discussions, striking color illustrations, and examples ranging from atomic nuclei to soap bubbles to spirals and fractals. Without using technical language, Hildebrandt and Tromba open up an intriguing avenue of scientific inquiry to an uninitiated readership, showing what can be discovered when mathematics is used to investigate the natural world
Minimal surfaces by Ulrich Dierkes ( )
22 editions published between 1992 and 2013 in English and held by 560 WorldCat member libraries worldwide
& Quot;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
Partial differential equations and calculus of variations by Stefan Hildebrandt ( Book )
17 editions published in 1988 in English and German and held by 505 WorldCat member libraries worldwide
This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mathematical physics and on scattering theory
Regularity of minimal surfaces by Ulrich Dierkes ( )
21 editions published between 2010 and 2013 in English and held by 493 WorldCat member libraries worldwide
& Quot;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 t
Global analysis of minimal surfaces by Ulrich Dierkes ( )
20 editions published between 2010 and 2013 in English and held by 491 WorldCat member libraries worldwide
Many properties of minimal surfaces are of a global nature, and this is already true for the results treated in the first two volumes of the treatise. Part I of the present book can be viewed as an extension of these results. For instance, the first two chapters deal with existence, regularity and uniqueness theorems for minimal surfaces with partially free boundaries. Here one of the main features is the possibility of 'edge-crawling' along free parts of the boundary. The third chapter deals with a priori estimates for minimal surfaces in higher dimensions and for minimizers of singular integrals related to the area functional. In particular, far reaching Bernstein theorems are derived. The second part of the book contains what one might justly call a 'global theory of minimal surfaces' as envisioned by Smale. First, the Douglas problem is treated anew by using Teichmuller theory. Secondly, various index theorems for minimal theorems are derived, and their consequences for the space of solutions to Plateau's problem are discussed. Finally, a topological approach to minimal surfaces via Fredholm vector fields in the spirit of Smale is presented
Calculus of variations and partial differential equations : proceedings of a conference held in Trento, Italy, June 16-21, 1986 by Stefan Hildebrandt ( Book )
14 editions published in 1988 in English and held by 464 WorldCat member libraries worldwide
Calculus of variations and geometric evolution problems : lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 15-22, 1996 by Centro italiano matematico estivo ( Book )
14 editions published in 1999 in English and held by 376 WorldCat member libraries worldwide
The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory
Calculus of variations by Mariano Giaquinta ( Book )
14 editions published between 1995 and 2004 in 3 languages and held by 340 WorldCat member libraries worldwide
One-dimensional variational problems : an introduction by Giuseppe Buttazzo ( Book )
12 editions published between 1998 and 2010 in English and held by 253 WorldCat member libraries worldwide
Geometric analysis and nonlinear partial differential equations by Stefan Hildebrandt ( Book )
8 editions published between 2002 and 2013 in English and held by 207 WorldCat member libraries worldwide
This well-organized and coherent collection of papers leads the reader to the frontiers of present research in the theory of nonlinear partial differential equations and the calculus of variations and offers insight into some exciting developments. In addition, most articles also provide an excellent introduction to their background, describing extensively as they do the history of those problems presented, as well as the state of the art and offer a well-chosen guide to the literature. Part I contains the contributions of geometric nature: From spectral theory on regular and singular spaces to regularity theory of solutions of variational problems. Part II consists of articles on partial differential equations which originate from problems in physics, biology and stochastics. They cover elliptic, hyperbolic and parabolic cases
Analysis 1 by Stefan Hildebrandt ( Book )
7 editions published between 2002 and 2006 in German and held by 171 WorldCat member libraries worldwide
Wahrheit und Wert mathematischer Erkenntnis : Vortrag gehalten in der Carl Friedrich von Siemens Stiftung am 6. Februar 1992 by Stefan Hildebrandt ( Book )
4 editions published in 1995 in German and held by 113 WorldCat member libraries worldwide
Calculus of variations : mit besonderer Berücksichtigung der Anwendungsgebiete by Mariano Giaquinta ( Book )
18 editions published between 1994 and 2010 in English and held by 84 WorldCat member libraries worldwide
This 2-volume treatise by two of the leading researchers and writers in the field, quickly established itself as a standard reference. It pays special attention to the historical aspects and the origins partly in applied problems - such as those of geometric optics - of parts of the theory. A variety of aids to the reader are provided, beginning with the detailed table of contents, and including an introduction to each chapter and each section and subsection, an overview of the relevant literature (in Volume II) besides the references in the Scholia to each chapter in the (historical) footnotes, and in the bibliography, and finally an index of the examples used through out the book
Geometric analysis and the calculus of variations : for Stefan Hildebrandt ( Book )
7 editions published in 1996 in English and held by 81 WorldCat member libraries worldwide
Kugel, Kreis und Seifenblasen : optimale Formen in Geometrie und Natur by Stefan Hildebrandt ( Book )
4 editions published in 1996 in German and held by 80 WorldCat member libraries worldwide
Analysis by Stefan Hildebrandt ( Book )
5 editions published between 2002 and 2008 in German and held by 72 WorldCat member libraries worldwide
Felix Hausdorff Gesammelte Werke by Josef Bemelmans ( )
2 editions published in 2006 in German and held by 59 WorldCat member libraries worldwide
Band 5 umfabt die Themenbereiche Astronomie, Optik und Wahrscheinlichkeitstheorie. Er enthalt Hausdorffs Dissertation uber die Refraktion des Lichtes in der Atmosphare, zwei Folgearbeiten zum gleichen Thema sowie die Habilitationsschrift uber die Extinktion des Lichtes in der Atmosphare. Es folgt eine Arbeit uber geometrische Optik
On one-to-one harmonic mappings and minimal surfaces by Stefan Hildebrandt ( Book )
5 editions published between 1991 and 1992 in English and German and held by 52 WorldCat member libraries worldwide
Otto Toeplitz by Stefan Hildebrandt ( Book )
7 editions published between 1950 and 1999 in German and held by 49 WorldCat member libraries worldwide
 
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Audience level: 0.64 (from 0.33 for Mathematic ... to 0.92 for Geometric ...)
Alternative Names
Hildebrandt, S.
Hildebrandt, S. 1936-
Hildebrandt, S. (Stefan)
Hildebrandt, St. 1936-
Hildebrandt, Stefan
Hildebrandt, Stephan, 1936-
Hilderbrandt, S. (Stefan)
Languages
English (193)
German (35)
French (5)
Japanese (2)
Italian (1)
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