WorldCat Identities

Ekeland, I. (Ivar) 1944-

Works: 149 works in 520 publications in 13 languages and 9,547 library holdings
Genres: Conference papers and proceedings  Juvenile works  History 
Roles: Author, Publishing director, Editor, Author of introduction, Thesis advisor, Author of afterword, colophon, etc., Contributor, Director, Honoree, Interviewee, Other
Classifications: QA614.58, 514.7
Publication Timeline
Most widely held works by I Ekeland
Mathematics and the unexpected by I Ekeland( Book )

47 editions published between 1984 and 2001 in 7 languages and held by 1,584 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 )

13 editions published between 1991 and 1996 in English and French and held by 999 WorldCat member libraries worldwide

The best of all possible worlds : mathematics and destiny by I Ekeland( Book )

9 editions published between 2006 and 2007 in English and held by 779 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 )

45 editions published between 1974 and 1999 in 4 languages and held by 747 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
Applied nonlinear analysis by Jean Pierre Aubin( Book )

22 editions published between 1984 and 2006 in 4 languages and held by 577 WorldCat member libraries worldwide

The cat in numberland by I Ekeland( Book )

7 editions published between 2006 and 2014 in 3 languages and held by 436 WorldCat member libraries worldwide

Brings number concepts to life for all ages
Convexity methods in Hamiltonian mechanics by I Ekeland( Book )

19 editions published between 1989 and 2012 in English and Undetermined and held by 419 WorldCat member libraries worldwide

In the case of completely integrable systems, periodic solutions are found by inspection. For nonintegrable systems, such as the three-body problem in celestial mechanics, they are found by perturbation theory: there is a small parameter € in the problem, the mass of the perturbing body for instance, and for € = 0 the system becomes completely integrable. One then tries to show that its periodic solutions will subsist for € -# 0 small enough. Poincare also introduced global methods, relying on the topological properties of the flow, and the fact that it preserves the 2-form L~=l dPi 1\ dqi' The most celebrated result he obtained in this direction is his last geometric theorem, which states that an area-preserving map of the annulus which rotates the inner circle and the outer circle in opposite directions must have two fixed points. And now another ancient theme appear: the least action principle. It states that the periodic solutions of a Hamiltonian system are extremals of a suitable integral over closed curves. In other words, the problem is variational. This fact was known to Fermat, and Maupertuis put it in the Hamiltonian formalism. In spite of its great aesthetic appeal, the least action principle has had little impact in Hamiltonian mechanics. There is, of course, one exception, Emmy Noether's theorem, which relates integrals ofthe motion to symmetries of the equations. But until recently, no periodic solution had ever been found by variational methods
Infinite-dimensional optimization and convexity by I Ekeland( Book )

11 editions published in 1983 in English and held by 307 WorldCat member libraries worldwide

The caratheodory approach; Infinite-dimensional optimization; Duality theory
Mathematical techniques of optimization, control, and decision by Jean Pierre Aubin( Book )

11 editions published between 1981 and 1983 in 4 languages and held by 249 WorldCat member libraries worldwide

Advances in Hamiltonian systems by Istituto matematico Guido Castelnuovo( Book )

11 editions published in 1983 in English and held by 223 WorldCat member libraries worldwide

Variational methods : proceedings of a conference, Paris, June 1988 by H Berestycki( Book )

9 editions published in 1990 in English and held by 180 WorldCat member libraries worldwide

In the framework of the "Annee non lineaire" (the special nonlinear year) sponsored by the C.N.R.S. (the French National Center for Scien tific Research), a meeting was held in Paris in June 1988. It took place in the Conference Hall of the Ministere de la Recherche and had as an organizing theme the topic of "Variational Problems." Nonlinear analysis has been one of the leading themes in mathemat ical research for the past decade. The use of direct variational methods has been particularly successful in understanding problems arising from physics and geometry. The growth of nonlinear analysis is largely due to the wealth of ap plications from various domains of sciences and industrial applica tions. Most of the papers gathered in this volume have their origin in applications: from mechanics, the study of Hamiltonian systems, from physics, from the recent mathematical theory of liquid crystals, from geometry, relativity, etc. Clearly, no single volume could pretend to cover the whole scope of nonlinear variational problems. We have chosen to concentrate on three main aspects of these problems, organizing them roughly around the following topics: 1. Variational methods in partial differential equations in mathemat ical physics 2. Variational problems in geometry 3. Hamiltonian systems and related topics
Elements d'economie mathematique by I Ekeland( Book )

17 editions published between 1979 and 1983 in 4 languages and held by 163 WorldCat member libraries worldwide

Au hasard : la chance, la science et le monde by I Ekeland( Book )

6 editions published between 1991 and 2003 in French and Norwegian and held by 139 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
Le chaos : un exposé pour comprendre : un essai pour réfléchir by I Ekeland( Book )

12 editions published between 1995 and 2006 in 3 languages and held by 133 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
L'idée du service public est-elle encore soutenable ? : [actes du colloque, octobre 1997, Université de Paris-Dauphine]( Book )

8 editions published in 1999 in French and held by 110 WorldCat member libraries worldwide

Le meilleur des mondes possibles : mathématiques et destinée by I Ekeland( Book )

6 editions published in 2000 in French and held by 87 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
Nonlinear functional analysis and applications to differential equations : proceedings of the second school, ICTP, Trieste, Italy, 21 April-9 May 1997( Book )

4 editions published in 1998 in English and held by 70 WorldCat member libraries worldwide

Zufall, Glück und Chaos : mathematische Expeditionen by I Ekeland( Book )

4 editions published between 1992 and 1996 in German and held by 70 WorldCat member libraries worldwide

Simulation and estimation of nonadditive hedonic models by James J Heckman( Book )

19 editions published in 2003 in English and held by 66 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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The broken dice, and other mathematical tales of chance
Alternative Names
Ekeland, I.

Ekeland, I. 1944-

Ekeland, I. (Ivar)

Ekeland, Ivar.

Ekeland, Ivar 1944-

Èkland, I.

Ėkland, I. 1944-

Ėkland, Ivar 1944-

Ivar Ekeland Frans wiskundige

Ivar Ekeland fransk matematikar

Ivar Ekeland fransk matematiker

Ivar Ekeland französischer Mathematiker

Ivar Ekeland French mathematician

Экланд, И 1944-

에클랑, 이바르 1944-


エクランド, イーヴァル

The broken dice, and other mathematical tales of chanceThe best of all possible worlds : mathematics and destinyConvex analysis and variational problemsApplied nonlinear analysisThe cat in numberlandInfinite-dimensional optimization and convexityNonlinear functional analysis and applications to differential equations : proceedings of the second school, ICTP, Trieste, Italy, 21 April-9 May 1997