Nonlinear Partial Differential Equations in Geometry and Physics is popular PDF and ePub book, written by Garth Baker in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Nonlinear Partial Differential Equations in Geometry and Physics can be Read Online from any device for your convenience.
Nonlinear Partial Differential Equations in Geometry and Physics Book PDF Summary
This volume presents the proceedings of a series of lectures hosted by the Math ematics Department of The University of Tennessee, Knoxville, March 22-24, 1995, under the title "Nonlinear Partial Differential Equations in Geometry and Physics" . While the relevance of partial differential equations to problems in differen tial geometry has been recognized since the early days of the latter subject, the idea that differential equations of differential-geometric origin can be useful in the formulation of physical theories is a much more recent one. Perhaps the earliest emergence of systems of nonlinear partial differential equations having deep geo metric and physical importance were the Einstein equations of general relativity (1915). Several basic aspects of the initial value problem for the Einstein equa tions, such as existence, regularity and stability of solutions remain prime research areas today. eighty years after Einstein's work. An even more recent development is the realization that structures originally the context of models in theoretical physics may turn out to have introduced in important geometric or topological applications. Perhaps its emergence can be traced back to 1954, with the introduction of a non-abelian version of Maxwell's equations as a model in elementary-particle physics, by the physicists C.N. Yang and R. Mills. The rich geometric structure ofthe Yang-Mills equations was brought to the attention of mathematicians through work of M.F. Atiyah, :"J. Hitchin, I.
Detail Book of Nonlinear Partial Differential Equations in Geometry and Physics PDF
- Author : Garth Baker
- Release : 06 December 2012
- Publisher : Birkhäuser
- ISBN : 9783034888950
- Genre : Mathematics
- Total Page : 166 pages
- Language : English
- PDF File Size : 18,7 Mb
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