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.
关于作者
Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.
语言 英语 ● 格式 PDF ● 网页 614 ● ISBN 9781441970527 ● 文件大小 7.8 MB ● 出版者 Springer New York ● 市 NY ● 国家 US ● 发布时间 2010 ● 版 2 ● 下载 24 个月 ● 货币 EUR ● ID 2150362 ● 复制保护 社会DRM