Handbook of Global Analysis

Handbook of Global Analysis

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This is a comprehensive exposition of topics covered by the American Mathematical Societya€™s classification a€œGlobal Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics. This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics - Written by world-experts in the field - Up-to-date contentsAs partial examples we obtain the following self-adjoint extensions of the Laplace operator, the Dirichlet Laplace operator AD = 6 do + doo and the Neumann Laplace operator AN = 60d + d 60. Here a e DAB means a e DB and Ba e DA andanbsp;...

Title:Handbook of Global Analysis
Author:Demeter Krupka, David Saunders
Publisher:Elsevier - 2011-08-11


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