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The Broken Dice, and Other Mathematical Tales of Chance
Ivar Ekeland extends his consideration of the catastrophe theory of the universe begun in his widely acclaimed Mathematics and the Unexpected, by drawing on rich literary sources, …
Methods of Nonconvex Analysis
Exterior Differential Calculus and Applications to Economic Theory
During the academic year 1995/96, I was invited by the Scuola Normale Superiore to give a series of lectures. The purpose of these notes is to make the underlying economic problems …
The Best of All Possible Worlds
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 …
Paris-Princeton Lectures on Mathematical Finance 2004
This is the third volume in the Paris-Princeton Lectures in Financial Mathematics, which publishes, on an annual basis, cutting-edge research in self-contained, expository articles …
Convexity Methods in Hamiltonian Mechanics
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 …
Paris-Princeton Lectures on Mathematical Finance 2002
The Paris-Princeton Lectures in Financial Mathematics, of which this is the first volume, will, on an annual basis, publish cutting-edge research in self-contained, expository …
The Best of All Possible Worlds – Mathematics and Destiny
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? This …
Infinite-Dimensional Optimization and Convexity
In this volume, Ekeland and Turnbull are mainly concerned with existence theory. They seek to determine whether, when given an optimization problem consisting of minimizing a …
Convexity Methods in Hamiltonian Mechanics
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 …
Paris-Princeton Lectures on Mathematical Finance 2010
The Paris-Princeton Lectures in Financial Mathematics, of which this is the fourth volume, publish cutting-edge research in self-contained, expository articles from outstanding …