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Partial Differential Equations II
Michael E. Taylor
其他書名
Qualitative Studies of Linear Equations
出版Springer Science & Business Media, 2010-11-02
主題Mathematics / Differential Equations / GeneralMathematics / Mathematical Analysis
ISBN14419705259781441970527
URLhttp://books.google.com.hk/books?id=scOX7_JUp_kC&hl=&source=gbs_api
EBookSAMPLE
註釋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.