This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.
Over de auteur
Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.
Taal Engels ● Formaat PDF ● Pagina’s 614 ● ISBN 9781441970527 ● Bestandsgrootte 7.8 MB ● Uitgeverij Springer New York ● Stad NY ● Land US ● Gepubliceerd 2010 ● Editie 2 ● Downloadbare 24 maanden ● Valuta EUR ● ID 2150362 ● Kopieerbeveiliging Sociale DRM