Probability, Geometry and Integrable Systems
by Mark Pinsky, Bjorn Birnir
Publisher: Cambridge University Press 2007
Number of pages: 428
The three main themes of this book, probability theory, differential geometry, and the theory of integrable systems, reflect the broad range of mathematical interests of Henry McKean, to whom it is dedicated. Written by experts in probability, geometry, integrable systems, turbulence, and percolation, the seventeen papers included here demonstrate a wide variety of techniques that have been developed to solve various mathematical problems in these areas.
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by Kentaro Yano - North Holland Publishing Co.
The topics include: Spaces with a non-vanishing curvature tensor that admit a group of automorphisms of the maximum order; Groups of transformations in generalized spaces; Global properties of the groups of motions in a compact Riemannian space...
by Luther Pfahler Eisenhart - Princeton University Press
Most of the transformations are reducible to transformations F or to transformations of the type such that a surface and a transform are focal surfaces of a W congruence. It is the purpose of this book to develop these two types of transformations.
by Anders Kock - University of Aarhus
This textbook can be used as a non-technical and geometric gateway to many aspects of differential geometry. The audience of the book is anybody with a reasonable mathematical maturity, who wants to learn some differential geometry.
by Taha Sochi - viXra
A collection of notes about differential geometry prepared as part of tutorials about topics and applications related to tensor calculus. They can be used as a reference for a first course on the subject or as part of a course on tensor calculus.