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.
Sobre o autor
Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.
Língua Inglês ● Formato PDF ● Páginas 614 ● ISBN 9781441970527 ● Tamanho do arquivo 7.8 MB ● Editora Springer New York ● Cidade NY ● País US ● Publicado 2010 ● Edição 2 ● Carregável 24 meses ● Moeda EUR ● ID 2150362 ● Proteção contra cópia DRM social