Exterior Differential Systems and Euler-Lagrange Partial Differential Equations
by R. Bryant, P. Griffiths, D. Grossman
Publisher: University Of Chicago Press 2008
ISBN/ASIN: 0226077942
ISBN-13: 9780226077949
Number of pages: 219
Description:
The authors present the results of their ongoing development of a theory of the geometry of differential equations, focusing especially on Lagrangians and Poincaré-Cartan forms. They also cover certain aspects of the theory of exterior differential systems, which provides the language and techniques for the entire study.
Download or read it online for free here:
Download link
(1.6MB, PDF)
Similar books
Functional Differential Geometryby Gerald Jay Sussman, Jack Wisdom - MIT
Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with informal symbol manipulation. We use computer programs to communicate a precise understanding of the computations in differential geometry.
(11504 views)
Synthetic Differential Geometryby Anders Kock - Cambridge University Press
Synthetic differential geometry is a method of reasoning in differential geometry and calculus. This book is the second edition of Anders Kock's classical text, many notes have been included commenting on new developments.
(13515 views)
Triangles, Rotation, a Theorem and the Jackpotby Dave Auckly - arXiv
This paper introduced undergraduates to the Atiyah-Singer index theorem. It includes a statement of the theorem, an outline of the easy part of the heat equation proof. It includes counting lattice points and knot concordance as applications.
(8755 views)
Introduction to Homological Geometryby Martin A. Guest - arXiv
This is an introduction to some of the analytic aspects of quantum cohomology. The small quantum cohomology algebra, regarded as an example of a Frobenius manifold, is described without going into the technicalities of a rigorous definition.
(10197 views)