WorldCat Identities

Tromba, Anthony

Works: 72 works in 393 publications in 8 languages and 7,239 library holdings
Genres: Conference proceedings  Examinations, questions, etc 
Roles: Author, Editor
Classifications: QA644, 516.362
Publication Timeline
Publications about  Anthony Tromba Publications about Anthony Tromba
Publications by  Anthony Tromba Publications by Anthony Tromba
Most widely held works about Anthony Tromba
Most widely held works by Anthony Tromba
Vector calculus by Jerrold E Marsden ( Book )
63 editions published between 1970 and 2012 in 4 languages and held by 1,559 WorldCat member libraries worldwide
Now in its fifth edition, Vector Calculus helps students gain an intuitive and solid understanding of this important subject. The book's careful account is a contemporary balance between theory, application, and historical development, providing it's readers with an insight into how mathematics progresses and is in turn influenced by the natural world. (Midwest)
Mathematics and optimal form by Stefan Hildebrandt ( Book )
24 editions published between 1984 and 1998 in 5 languages and held by 1,458 WorldCat member libraries worldwide
Studie over de ontwikkeling van de variatierekening
The parsimonious universe : shape and form in the natural world by Stefan Hildebrandt ( Book )
14 editions published between 1995 and 1996 in English and German and held by 741 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
Regularity of minimal surfaces by Ulrich Dierkes ( )
21 editions published between 2010 and 2013 in English and held by 487 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 ( )
22 editions published between 2010 and 2013 in English and held by 467 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
A theory of branched minimal surfaces by Anthony Tromba ( )
14 editions published between 2012 and 2014 in English and held by 421 WorldCat member libraries worldwide
Teichmüller theory in Riemannian geometry by Anthony Tromba ( Book )
13 editions published in 1992 in English and Undetermined and held by 306 WorldCat member libraries worldwide
Calculus by Kenneth McAloon ( Book )
7 editions published between 1972 and 1976 in 3 languages and held by 256 WorldCat member libraries worldwide
Introductory course for students with a high-school background of algebra, geometry and rudiments of trigonometry
Existence theorems for minimal surfaces of non-zero genus spanning a contour by Friedrich Tomi ( Book )
10 editions published in 1988 in English and held by 252 WorldCat member libraries worldwide
The index theorem for minimal surfaces of higher genus by Friedrich Tomi ( Book )
11 editions published in 1995 in English and held by 243 WorldCat member libraries worldwide
On the number of simply connected minimal surfaces spanning a curve by Anthony Tromba ( Book )
11 editions published in 1977 in English and held by 229 WorldCat member libraries worldwide
Basic multivariable calculus by Jerrold E Marsden ( Book )
17 editions published between 1993 and 2000 in 3 languages and held by 189 WorldCat member libraries worldwide
Seminar on New Results in Nonlinear Partial Differential Equations : a publication of the Max-Planck-Institut für Mathematik, Bonn by Anthony Tromba ( Book )
17 editions published in 1987 in English and Undetermined and held by 183 WorldCat member libraries worldwide
Calculus of one variable by Kenneth McAloon ( Book )
5 editions published in 1972 in English and held by 133 WorldCat member libraries worldwide
Cálculo vectorial by Jerrold E Marsden ( Book )
38 editions published between 1981 and 2011 in 3 languages and held by 109 WorldCat member libraries worldwide
Este libro ofrece las técnicas más modernas para el estudio y la pedagogía del cálculo vectorial
Minimal surfaces by Ulrich Dierkes ( Book )
in English and held by 54 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
Matemática y formas óptimas by Stefan Hildebrandt ( Book )
3 editions published in 1990 in Spanish and held by 15 WorldCat member libraries worldwide
Lectures on integral equations by Harold Widom ( Book )
4 editions published in 1969 in English and held by 13 WorldCat member libraries worldwide
Lectures on measure and integration by Harold Widom ( Book )
3 editions published in 1969 in English and held by 9 WorldCat member libraries worldwide
Degree theory on Banach manifolds by Anthony Tromba ( )
3 editions published in 1968 in English and held by 7 WorldCat member libraries worldwide
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Audience Level
  Kids General Special  
Audience level: 0.59 (from 0.10 for Tromba, An ... to 0.92 for Degree the ...)
Alternative Names
Tromba, A. 1943-
Tromba, A. J.
Tromba, A. J. 1943-
Tromba, A. J. (Anthony Joseph)
Tromba, A. J. (Anthony Joseph), 1943-
Tromba, Anthony.
Tromba, Anthony 1943-
Tromba, Anthony J.
Tromba, Anthony J. 1943-...
Tromba, Anthony J. (Anthony Joseph)
Tromba, Anthony J. (Anthony Joseph), 1943-
Tromba, Anthony Joseph 1943-
أنتوني ترومبا، 1943-
English (231)
Spanish (38)
German (11)
French (5)
Esperanto (3)
Japanese (2)
Greek, Modern (2)
Dutch (1)