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.
Mengenai Pengarang
Michael E. Taylor is a Professor at University of North Carolina in the Department of Mathematics.
Bahasa Inggeris ● Format PDF ● Halaman-halaman 614 ● ISBN 9781441970527 ● Saiz fail 7.8 MB ● Penerbit Springer New York ● Bandar raya NY ● Negara US ● Diterbitkan 2010 ● Edisi 2 ● Muat turun 24 bulan ● Mata wang EUR ● ID 2150362 ● Salin perlindungan Social DRM