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.
Yazar hakkında
Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.
Dil İngilizce ● Biçim PDF ● Sayfalar 614 ● ISBN 9781441970527 ● Dosya boyutu 7.8 MB ● Yayımcı Springer New York ● Kent NY ● Ülke US ● Yayınlanan 2010 ● Baskı 2 ● İndirilebilir 24 aylar ● Döviz EUR ● Kimlik 2150362 ● Kopya koruma Sosyal DRM