Ekeland, I. (Ivar) 1944
Overview
Works:  149 works in 456 publications in 11 languages and 9,013 library holdings 

Genres:  Juvenile works Conference proceedings 
Roles:  Author, Publishing director, Editor, Contributor, Interviewee, Other 
Classifications:  QA614.58, 514.7 
Publication Timeline
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Most widely held works by
I Ekeland
Mathematics and the unexpected
by
I Ekeland(
Book
)
36 editions published between 1984 and 2001 in 6 languages and held by 1,576 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
36 editions published between 1984 and 2001 in 6 languages and held by 1,576 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
)
12 editions published between 1993 and 1996 in English and French and held by 1,013 WorldCat member libraries worldwide
12 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
)
9 editions published between 2006 and 2007 in English and held by 796 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 eruditionone that will be essential reading for popularscience buffs and historians of science alike
9 editions published between 2006 and 2007 in English and held by 796 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 eruditionone that will be essential reading for popularscience buffs and historians of science alike
El caos una explicación para comprender, un ensayo para reflexionar
by
I Ekeland(
)
5 editions published between 2001 and 2002 in Spanish and held by 713 WorldCat member libraries worldwide
5 editions published between 2001 and 2002 in Spanish and held by 713 WorldCat member libraries worldwide
Convex analysis and variational problems
by
I Ekeland(
Book
)
26 editions published between 1976 and 1999 in 3 languages and held by 645 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
26 editions published between 1976 and 1999 in 3 languages and held by 645 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
)
16 editions published between 1984 and 2006 in English and Undetermined and held by 549 WorldCat member libraries worldwide
16 editions published between 1984 and 2006 in English and Undetermined and held by 549 WorldCat member libraries worldwide
The cat in numberland
by
I Ekeland(
Book
)
5 editions published between 2006 and 2010 in English and French and held by 449 WorldCat member libraries worldwide
Brings number concepts to life for all ages
5 editions published between 2006 and 2010 in English and French and held by 449 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 425 WorldCat member libraries worldwide
17 editions published between 1989 and 2012 in English and Undetermined and held by 425 WorldCat member libraries worldwide
Infinitedimensional optimization and convexity
by
I Ekeland(
Book
)
10 editions published in 1983 in English and held by 296 WorldCat member libraries worldwide
The caratheodory approach; Infinitedimensional optimization; Duality theory
10 editions published in 1983 in English and held by 296 WorldCat member libraries worldwide
The caratheodory approach; Infinitedimensional 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 246 WorldCat member libraries worldwide
11 editions published between 1981 and 1983 in 4 languages and held by 246 WorldCat member libraries worldwide
Advances in Hamiltonian systems
by J. P Aubin(
Book
)
10 editions published in 1983 in English and held by 239 WorldCat member libraries worldwide
10 editions published in 1983 in English and held by 239 WorldCat member libraries worldwide
Analyse convexe et problèmes variationnels
by
I Ekeland(
Book
)
9 editions published in 1974 in French and Undetermined and held by 194 WorldCat member libraries worldwide
9 editions published in 1974 in French and Undetermined and held by 194 WorldCat member libraries worldwide
Variational methods : proceedings of a conference, Paris, June 1988
by
H Berestycki(
Book
)
8 editions published in 1990 in English and held by 193 WorldCat member libraries worldwide
8 editions published in 1990 in English and held by 193 WorldCat member libraries worldwide
Elements d'economie mathematique
by
I Ekeland(
Book
)
14 editions published between 1979 and 1983 in 4 languages and held by 155 WorldCat member libraries worldwide
14 editions published between 1979 and 1983 in 4 languages and held by 155 WorldCat member libraries worldwide
Le chaos : un exposé pour comprendre : un essai pour réfléchir
by
I Ekeland(
Book
)
11 editions published between 1995 and 2010 in 4 languages and held by 138 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
11 editions published between 1995 and 2010 in 4 languages and held by 138 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
Au hasard : la chance, la science et le monde
by
I Ekeland(
Book
)
8 editions published between 1991 and 2003 in French and Norwegian and held by 130 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
8 editions published between 1991 and 2003 in French and Norwegian and held by 130 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
)
10 editions published in 1974 in French and English and held by 125 WorldCat member libraries worldwide
10 editions published in 1974 in French and English and held by 125 WorldCat member libraries worldwide
L'idée du service public estelle encore soutenable ? : [actes du colloque, octobre 1997, Université de ParisDauphine]
(
Book
)
7 editions published in 1999 in French and held by 105 WorldCat member libraries worldwide
7 editions published in 1999 in French and held by 105 WorldCat member libraries worldwide
Le meilleur des mondes possibles : mathématiques et destinée
by
I Ekeland(
Book
)
7 editions published between 2000 and 2004 in French and Finnish 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
7 editions published between 2000 and 2004 in French and Finnish 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
Identification and estimation of hedonic models
by
I Ekeland(
Book
)
15 editions published in 2003 in English and held by 86 WorldCat member libraries worldwide
Abstract: 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 empirical 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
15 editions published in 2003 in English and held by 86 WorldCat member libraries worldwide
Abstract: 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 empirical 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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Related Identities
 Aubin, Jean Pierre Author Editor
 Temam, Roger
 Bensoussan, Alain Editor
 Turnbull, Thomas
 Istituto matematico Guido Castelnuovo
 C.E.R.E.M.A.D.E.
 Berestycki, H. (Henri) Author Editor
 Coron, JeanMichel 1956 Editor
 Centre national de la recherche scientifique (France)
 Chevalier, JeanMarie 1941 Publishing director Author
Useful Links
Associated Subjects
Calculus of variations Catastrophes (Mathematics) Chaotic behavior in systems Control theory Convex domains Convex functions Decision making Differentiable dynamical systems Differential equations, Nonlinear Differential equations, Partial Econometric models Econometrics Economics, Mathematical Ethics EuropeEuropean Union countries Game theory Global analysis (Mathematics) Government business enterprises Hamiltonian systems Harmony (Philosophy) Human behavior Infinite Logic, Symbolic and mathematical Mathematical analysis Mathematical optimization Mathematical statistics Mathematics MathematicsPhilosophy Nonlinear functional analysis Number concept Number conceptStudy and teaching Parameter estimation Probabilities ScienceMathematics SciencePhilosophy System theory United States
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
(140)
French (70)
German (9)
Spanish (8)
Italian (3)
Russian (3)
Finnish (3)
Chinese (1)
Dutch (1)
Polish (1)
Norwegian (1)
French (70)
German (9)
Spanish (8)
Italian (3)
Russian (3)
Finnish (3)
Chinese (1)
Dutch (1)
Polish (1)
Norwegian (1)
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