Ekeland, I. (Ivar) 1944-
Most widely held works by I Ekeland
Mathematics and the unexpected by I Ekeland ( Book )
13 editions published between 1984 and 1999 in 5 languages and held by 1,403 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.
The broken dice, and other mathematical tales of chance by I Ekeland ( Book )
10 editions published between 1991 and 2000 in 4 languages and held by 1,055 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.
The best of all possible worlds : mathematics and destiny by I Ekeland ( Book )
6 editions published between 2000 and 2007 in French and English and held by 767 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.
Applied nonlinear analysis by Jean Pierre Aubin ( Book )
4 editions published between 1984 and 2006 in English and held by 489 libraries worldwide
Convex analysis and variational problems by I Ekeland ( Book )
13 editions published between 1974 and 1999 in 3 languages and held by 473 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.
The cat in numberland by I Ekeland ( Book )
3 editions published between 2006 and 2010 in English and French and held by 438 libraries worldwide
Brings number concepts to life for all ages.
Convexity methods in Hamiltonian mechanics by I Ekeland ( Book )
4 editions published between 1989 and 1990 in English and held by 330 libraries worldwide
Infinite-dimensional optimization and convexity by I Ekeland ( Book )
3 editions published in 1983 in English and held by 261 libraries worldwide
The caratheodory approach; Infinite-dimensional optimization; Duality theory.
Mathematical techniques of optimization, control, and decision ( Book )
3 editions published in 1981 in English and held by 242 libraries worldwide
Advances in Hamiltonian systems ( Book )
4 editions published in 1983 in English and held by 213 libraries worldwide
Variational methods : proceedings of a conference, Paris, June 1988 ( Book )
3 editions published in 1990 in English and held by 151 libraries worldwide
La théorie des jeux et ses applications à l'économie mathématique by Ivar Ekeland ( Book )
3 editions published in 1974 in French and held by 108 libraries worldwide
Le chaos : un exposé pour comprendre : un essai pour réfléchir by I Ekeland ( Book )
1 edition published in 1995 in French and held by 73 libraries worldwide
Nonlinear functional analysis and applications to differential equations : proceedings of the second school, ICTP, Trieste, Italy, 21 April-9 May 1997 ( Book )
1 edition published in 1998 in English and held by 67 libraries worldwide
Identification and estimation of hedonic models by I Ekeland ( Book )
5 editions published in 2003 in English and held by 63 libraries worldwide
Éléments d'économie mathématique by I Ekeland ( Book )
3 editions published in 1979 in French and held by 52 libraries worldwide
Internet et nos fondamentaux by Jean-Marie Chevalier ( Book )
1 edition published in 2000 in French and held by 50 libraries worldwide
Le chaos by Ivar Ekeland ( Book )
4 editions published between 1995 and 2006 in French and Spanish and held by 48 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.
Louis Bachelier ( Book )
1 edition published in 2002 in French and held by 31 libraries worldwide
L'idée du service public est-elle encore soutenable ? : [actes du colloque, octobre 1997, Université de Paris-Dauphine ( Book )
2 editions published in 1999 in French and held by 5 libraries worldwide
Bachelier, Louis,--b. 1870 Business mathematics Calculus of variations Catastrophes (Mathematics) Chaotic behavior in systems Conference proceedings Control theory Convex domains Convex functions Critical point theory (Mathematical analysis) Decision making Differential calculus Differential equations, Elliptic Differential equations, Nonlinear Econometrics Economics Economics, Mathematical Efficient market theory--Mathematical models Ethics Europe--European Union countries Game theory Government business enterprises Group decision making--Mathematical models Hamiltonian systems Harmony (Philosophy) History Human behavior Infinite Juvenile works K-theory Ljusternik-Schnirelman theory Logic, Symbolic and mathematical Mathematical analysis Mathematical optimization Mathematical statistics Mathematics Mathematics--Philosophy Mathematics--Research Maxima and minima Microeconomics--Mathematical models Modular curves Nonlinear functional analysis Number concept Number concept--Study and teaching Oscillations Probabilities Science--Mathematics System theory Time and economic reactions--Mathematical models United States
Ekeland, I. 1944-
Ekeland, I. (Ivar), 1944-
Ekeland, Ivar, 1944-
Ėkland, I., 1944-
Ekland, I., 1944- czerus
Greek, Modern (1)
Multiple languages (1)