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.
Despre autor
Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.
Limba Engleză ● Format PDF ● Pagini 614 ● ISBN 9781441970527 ● Mărime fișier 7.8 MB ● Editura Springer New York ● Oraș NY ● Țară US ● Publicat 2010 ● Ediție 2 ● Descărcabil 24 luni ● Valută EUR ● ID 2150362 ● Protecție împotriva copiilor DRM social