WorldCat Identities

Ekeland, I. (Ivar) 1944-

Overview
Works: 156 works in 416 publications in 4 languages and 8,755 library holdings
Genres: Juvenile works  Conference proceedings 
Roles: Publishing director, Editor, Contributor, Interviewee, Other
Classifications: QA614.58, 514.7
Publication Timeline
Key
Publications about  I Ekeland Publications about I Ekeland
Publications by  I Ekeland Publications by I Ekeland
Most widely held works by I Ekeland
Mathematics and the unexpected by I Ekeland ( Book )
9 editions published between 1988 and 1990 in English and held by 1,303 WorldCat member libraries worldwide
In this brief treatise, Ekelund explains some philosophical implications of recent mathematics. He examines randomness, the geometry involved in making predictions, and why general trends are easy to project, but particulars are practically impossible
The broken dice, and other mathematical tales of chance by I Ekeland ( Book )
11 editions published between 1993 and 1996 in English and French and held by 1,013 WorldCat member libraries worldwide
The best of all possible worlds : mathematics and destiny by I Ekeland ( Book )
7 editions published between 2006 and 2007 in English and held by 793 WorldCat member libraries worldwide
Optimists believe this is the best of all possible worlds. And pessimists fear that might really be the case. But what "is" the best of all possible worlds? How do we define it? Is it the world that operates the most efficiently? Or the one in which most people are comfortable and content? Questions such as these have preoccupied philosophers and theologians for ages, but there was a time, during the seventeenth and eighteenth centuries, when scientists and mathematicians felt they could provide the answer. This book is their story. Ivar Ekeland here takes the reader on a journey through scientific attempts to envision the best of all possible worlds. He begins with the French physicist Maupertuis, whose least action principle asserted that everything in nature occurs in the way that requires the least possible action. This idea, Ekeland shows, was a pivotal breakthrough in mathematics, because it was the first expression of the concept of "optimization," or the creation of systems that are the most efficient or functional. Although the least action principle was later elaborated on and overshadowed by the theories of Leonhard Euler and Gottfried Leibniz, the concept of optimization that emerged from it is an important one that touches virtually every scientific discipline today. Tracing the profound impact of optimization and the unexpected ways in which it has influenced the study of mathematics, biology, economics, and even politics, Ekeland reveals throughout how the idea of optimization has driven some of our greatest intellectual breakthroughs. The result is a dazzling display of erudition--one that will be essential reading for popular-science buffs and historians of science alike
Convex analysis and variational problems by I Ekeland ( Book )
27 editions published between 1976 and 1999 in 3 languages and held by 619 WorldCat member libraries worldwide
This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references
El caos una explicación para comprender, un ensayo para reflexionar by I Ekeland ( )
4 editions published between 2001 and 2002 in Spanish and held by 601 WorldCat member libraries worldwide
Applied nonlinear analysis by Jean Pierre Aubin ( Book )
15 editions published between 1984 and 2006 in English and Undetermined and held by 547 WorldCat member libraries worldwide
The cat in numberland by I Ekeland ( Book )
3 editions published between 2006 and 2010 in English and held by 423 WorldCat member libraries worldwide
Brings number concepts to life for all ages
Convexity methods in Hamiltonian mechanics by I Ekeland ( Book )
17 editions published between 1989 and 2012 in English and Undetermined and held by 412 WorldCat member libraries worldwide
Infinite-dimensional optimization and convexity by I Ekeland ( Book )
9 editions published in 1983 in English and held by 293 WorldCat member libraries worldwide
The caratheodory approach; Infinite-dimensional optimization; Duality theory
Mathematical techniques of optimization, control, and decision by Jean Pierre Aubin ( Book )
9 editions published between 1981 and 1983 in English and French and held by 247 WorldCat member libraries worldwide
Advances in Hamiltonian systems by Jean Pierre Aubin ( Book )
8 editions published in 1983 in English and held by 224 WorldCat member libraries worldwide
Le calcul, l'imprevu : les figures du temps de Kepler a Thom by I Ekeland ( Book )
14 editions published between 1984 and 1987 in French and held by 210 WorldCat member libraries worldwide
"Des progrès spectaculaires ont été accomplis récemment dans la description scientifique du temps et du changement. Rompant avec le morne déterminisme classique, ces idées nouvelles modifient déjà notre pratique de la science et notre conception du savoir. Elles brouillent les frontières du calculable et de l'imprévisible, du déterminé et de l'aléatoire, de l'ordre et du désordre. Comme jadis les ellipses de Kepler, on peut résumer les nouvelles conceptions en quelques images frappantes: le chat d'Arnold, le fer à cheval de Smale, la fronce de Thom. Elles ont réveillé un écho dans tous les domaines de la science et sont destinées à faire partie de notre bagage culturel
Analyse convexe et problèmes variationnels by I Ekeland ( Book )
8 editions published in 1974 in French and Undetermined and held by 186 WorldCat member libraries worldwide
Variational methods : proceedings of a conference, Paris, June 1988 ( Book )
7 editions published in 1990 in English and held by 179 WorldCat member libraries worldwide
Elements d'economie mathematique by I Ekeland ( Book )
10 editions published in 1979 in French and English and held by 147 WorldCat member libraries worldwide
Au hasard : la chance, la science et le monde by I Ekeland ( Book )
7 editions published between 1991 and 2000 in French and held by 133 WorldCat member libraries worldwide
Une étude sur le hasard et les rapports que la science entretient avec la chance, s'appuyant sur des épisodes de Les Sagas des rois de Norvège, de S. Sturlasson. Chacun de ces épisodes sert de point de départ à un développement philosophique
La theorie des jeux et ses applications a l'economie mathematique by I Ekeland ( Book )
9 editions published in 1974 in French and English and held by 125 WorldCat member libraries worldwide
Le chaos : un exposé pour comprendre : un essai pour réfléchir by I Ekeland ( Book )
5 editions published in 1995 in French and held by 90 WorldCat member libraries worldwide
Explique la théorie du chaos et ses conséquences mécaniques et astronomiques. L'auteur propose ensuite une réflexion sur l'existence de l'autonomie des objets mathématiques et sur la précision -fluctuante- des calculs humains face à une nature bien plus complexe qu'on ne l'imagine
Le meilleur des mondes possibles : mathématiques et destinée by I Ekeland ( Book )
6 editions published in 2000 in French and held by 85 WorldCat member libraries worldwide
La théorie du chaos a attiré l'attention sur ce qu'il y a d'imprévisible et de hasardeux dans les lois de la physique. Une très ancienne théorie philosophique affirme au contraire l'harmonie générale de l'univers, Leibniz parle même du meilleur des mondes possibles. L'auteur retrace l'histoire de cette idée et montre les résultats scientifiques sur lesquels elle s'appuie
Identification and estimation of hedonic models by I Ekeland ( Book )
13 editions published in 2003 in English and held by 85 WorldCat member libraries worldwide
This paper considers the identification and estimation of hedonic models. We establish that in an additive version of the hedonic model, technology and preferences are generically identified up to affine transformations from data on demand and supply in a single hedonic market. For a very general parametric structure preferences and technology are fully identified. This is true under a strong assumption of statistical independence of the error term. It is also true under the weaker assumption of mean independence of the error term. Much of the confusion in the empircial literature that claims that hedonic models estimated on data from a single market are fundamentally underidentified is based on linearizations that do not use all of the information in the model. The exact economic model that justifies widely used linear approximations has strange properties so the approximation is doubly poor. A semiparametric estimation method is proposed that is valid when a statistical independence assumption is valid. Alternatively, under the weaker condition of mean independence instrumental variables estimators can be applied to identify technology and preference parameters from a single market. They are justified by nonlinearities that are generic features of equilibrium in hedonic models
 
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Alternative Names
Ekeland, I.
Ekeland, I. 1944-
Ekeland, I. (Ivar), 1944-
Ekeland, Ivar.
Ekeland, Ivar, 1944-
Èkland, I.
Ėkland, I., 1944-
Экланд, И., 1944-
エクランド, イーヴァル
Languages
English (130)
French (58)
Spanish (4)
Dutch (1)
Covers