适合人群:College students and researchers in mathematics, engineering, physics, and related fields, as well as professionals in applied mathematics and science who require a deeper understanding of partial differential equations.
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.
ISBN:9780387946511
出版日期:1997-05-22 适合人群:College students and researchers in mathematics, engineering, physics, and related fields, as well as professionals in applied mathematics and science who require a deeper understanding of partial differential equations.