WorldCat Identities

Hildebrandt, Stefan

Overview
Works: 158 works in 623 publications in 5 languages and 8,044 library holdings
Genres: Conference papers and proceedings  History 
Roles: Author, Editor, Honoree, Other, Contributor, Creator
Classifications: BH301.N3, 117
Publication Timeline
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Most widely held works by Stefan Hildebrandt
Mathematics and optimal form by Stefan Hildebrandt( Book )

30 editions published between 1984 and 1998 in 5 languages and held by 1,454 WorldCat member libraries worldwide

The authors look at familiar examples of nature's tendency to economize, to the nuclei of atoms to the planets of our solar system
The parsimonious universe : shape and form in the natural world by Stefan Hildebrandt( Book )

20 editions published between 1995 and 2013 in English and German and held by 767 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
Calculus of variations by Mariano Giaquinta( Book )

73 editions published between 1994 and 2011 in English and Undetermined and held by 602 WorldCat member libraries worldwide

This long-awaited book by two of the foremost researchers and writers in the field is the first part of a treatise that covers the subject in breadth and depth, paying special attention to the historical origins, partly in applications, e.g. from geometrical optics, of parts of the theory. A variety of aids to the reader are provided: besides the very detailed table of contents, an introduction to each chapter, section and subsection, an overview of the relevant literature (in Vol. 2) plus the references in the Scholia to each chapter, in the (historical) footnotes, and in the bibliography, and finally an index of the examples used throughout the book. Both individually and collectively these volumes have already become standard references
Partial differential equations and calculus of variations by Stefan Hildebrandt( Book )

18 editions published in 1988 in English and Undetermined and held by 386 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
Calculus of variations and partial differential equations : proceedings of a conference held in Trento, Italy, June 16-21, 1986 by Stefan Hildebrandt( Book )

17 editions published in 1988 in English and Undetermined and held by 351 WorldCat member libraries worldwide

Annotation
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 Fabrice Bethuel( Book )

27 editions published in 1999 in English and German and held by 334 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
Minimal surfaces by Ulrich Dierkes( Book )

54 editions published between 1992 and 2013 in English and German and held by 298 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
One-dimensional variational problems : an introduction by Giuseppe Buttazzo( Book )

15 editions published between 1998 and 2010 in English and Russian and held by 278 WorldCat member libraries worldwide

While easier to solve and accessible to a broader range of students, one-dimensional variational problems and their associated differential equations exhibit many of the same complex behavior of higher-dimensional problems. This book, the first moden introduction, emphasizes direct methods and provides an exceptionally clear view of the underlying theory
Geometric analysis and nonlinear partial differential equations by Stefan Hildebrandt( Book )

12 editions published between 2002 and 2013 in English and held by 210 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
Wahrheit und Wert mathematischer Erkenntnis : Vortrag gehalten in der Carl Friedrich von Siemens Stiftung am 6. Februar 1992 by Stefan Hildebrandt( Book )

14 editions published in 1995 in German and held by 156 WorldCat member libraries worldwide

Minimal surfaces by Ulrich Dierkes( Book )

13 editions published in 2010 in English and held by 125 WorldCat member libraries worldwide

Analysis by Stefan Hildebrandt( Book )

8 editions published between 2002 and 2006 in German and held by 115 WorldCat member libraries worldwide

Geometric analysis and the calculus of variations : for Stefan Hildebrandt( Book )

9 editions published in 1996 in English and held by 86 WorldCat member libraries worldwide

Analysis by Stefan Hildebrandt( Book )

6 editions published between 2002 and 2008 in German and held by 81 WorldCat member libraries worldwide

Der zweite Band dieses Lehrbuchs der Analysis umfaßt den Stoff des zweiten Semesters eines mathematischen Grundstudiums für Studierende der Mathematik, Physik und Informatik. Der klare und übersichtliche Aufbau berücksichtigt, daß schon frühzeitig die mathematischen Hilfsmittel erörtert werden, die zum Verständnis der physikalischen Grundvorlesungen unerläßlich sind. In Verbindung mit Band 1 ist so ein Leitfaden für das Studium der Analysis entstanden, der das in den ersten beiden Studiensemestern zu erwerbende mathematische Grundwissen umfaßt. Ausführliche Beweise und Erläuterungen sowie zahlreiche Beispiele und interessante Übungsaufgaben eignen es sehr gut für das Selbststudium. Ein klarer und übersichtlicher Aufbau und eine geschickte Gliederung des Stoffes ermöglichen, das erste Studium auf Kernbereiche zu beschränken. Geometrische Intuition und historische Motivation in Verbindung mit einer maßvollen Abstraktion kennzeichnen diese moderne Einführung in die Analysis
Calculus of Variations and Partial Differential Equations : Proceedings of a Conference held in Trento, Italy June 16-21, 1986 by Stefan Hildebrandt( )

4 editions published in 1988 in English and held by 76 WorldCat member libraries worldwide

Otto Toeplitz by Stefan Hildebrandt( Book )

9 editions published between 1950 and 1999 in German and English and held by 57 WorldCat member libraries worldwide

Presents a brief biographical sketch of Jewish German mathematician Otto Toeplitz (1881-1940), compiled as part of the MacTutor History of Mathematics Archive of the School of Mathematics and Statistics at the University of Saint Andrews in Scotland. Notes that Toeplitz's work focused on infinite linear and quadratic forms
On one-to-one harmonic mappings and minimal surfaces by Stefan Hildebrandt( Book )

6 editions published between 1991 and 1992 in English and German and held by 57 WorldCat member libraries worldwide

Minimal surfaces( Book )

in English and held by 52 WorldCat member libraries worldwide

Felix Hausdorff Gesammelte Werke by Josef Bemelmans( )

4 editions published in 2006 in German and English and held by 0 WorldCat member libraries worldwide

Band 5 umfaßt die Themenbereiche Astronomie, Optik und Wahrscheinlichkeitstheorie. Er enthält Hausdorffs Dissertation über die Refraktion des Lichtes in der Atmosphäre, zwei Folgearbeiten zum gleichen Thema sowie die Habilitationsschrift über die Extinktion des Lichtes in der Atmosphäre. Es folgt eine Arbeit über geometrische Optik, die unmittelbar an die berühmte Publikation von H. Bruns über das Eikonal anschließt und in der Hausdorff die damals ganz neuen Lieschen Theorien für die Optik nutzbar zu machen suchte. Auf dem Gebiet der Stochastik veröffentlichte Hausdorff zwei längere Arbeiten, die in verschiedenen Bereichen der Versicherungsmathematik und der Wahrscheinlichkeitsrechnung ihre Spuren hinterlassen haben. Von besonderem historischen Interesse sind die im Band publizierten Stücke aus Hausdorffs Nachlaß, etwa seine Vorlesung "Wahrscheinlichkeitsrechnung" vom Sommersemester 1923 oder seine Briefe an Richard von Mises aus dem Jahre 1919
 
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The parsimonious universe : shape and form in the natural world
Alternative Names
Hildebrandt, S.

Hildebrandt, S. 1936-2015

Hildebrandt, S. (Stefan)

Hildebrandt, St. 1936-2015

Hildebrandt, Stefan

Hildebrandt, Stefan O. W.

Hildebrandt, Stephan 1936-

Hildebrandt, Stephan 1936-2015

Hilderbrandt, S.

Hilderbrandt, S. (Stefan)

Stefan Hildebrandt deutscher Mathematiker

Stefan Hildebrandt Duits wiskundige (1936-2015)

Stefan Hildebrandt German mathematician

Stefan Hildebrandt tysk matematikar

Stefan Hildebrandt tysk matematiker

Languages
English (276)

German (50)

French (6)

Japanese (2)

Russian (1)

Covers
Calculus of variationsPartial differential equations and calculus of variationsCalculus of variations and partial differential equations : proceedings of a conference held in Trento, Italy, June 16-21, 1986Calculus 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, 1996Minimal surfacesOne-dimensional variational problems : an introductionGeometric analysis and nonlinear partial differential equationsMinimal surfaces