Features articles that are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute... Læs mere
The theory of subRiemannian manifolds is closely related to Hamiltonian mechanics. This book examines the properties and applications of subRiemannian manifolds that automatically satisfy the Heisenberg principle, which may be useful in quantum mechanics.
Coding theory draws on a remarkable selection of mathematical topics, both pure and applied. This title includes various contributions that introduce... Læs mere
Contains articles on the history of Soviet mathematics. This book focuses on the personal lives of Russian mathematicians, and political events that shaped the course... Læs mere
Treats mirror symmetry from the perspectives of both mathematics and physics. This book... Læs mere
Since at least the time of Poisson, mathematicians have pondered the notion of recurrence for differential equations. Solutions that exhibit recurrent behavior provide insight... Læs mere
A textbook for a one-semester graduate course in measure-theoretic probability theory. It presents an approach to develop the ideas that are absolutely central to modern probability theory.... Læs mere
Presents elementary models of transport in continuous media and a corresponding body of mathematical technique. This title includes physical topics such as... Læs mere
Contains a translation and study of ""Euclid's Phaenomena"", a work which once formed part of the... Læs mere
Although 'Heegaard Floer homology', theory is conjecturally isomorphic to Seiberg-Witten theory, it is more topological and combinatorial in... Læs mere
Discusses harmonic analysis and its connections to other areas of mathematics and science. This book attempts to unify certain themes in areas of Lie algebras, strong interaction physics, statistical mechanics, and nonlinear partial differential equations.