Format:
Online-Ressource
,
v.: digital
Edition:
2. ed.
Edition:
Online-Ausg. Springer eBook Collection. Mathematics and Statistics
ISBN:
1282973754
,
9781441970527
,
9781282973756
Series Statement:
Applied Mathematical Sciences 116
Content:
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.
Content:
This is the second of three volumes on partial differential equations. It builds upon the basic theory of linear PDE given in Volume 1, and pursues some more advanced topics in linear PDE. Analytical tools introduced in Volume 2 for these studies include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. There is also a development of basic differential geometrical concepts, centered 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. The book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.
Note:
Includes bibliographical references and index
Additional Edition:
ISBN 1282973363
Additional Edition:
ISBN 9781441970510
Language:
English
Subjects:
Mathematics
Keywords:
Partielle Differentialgleichung
;
Lineare Gleichung
DOI:
10.1007/978-1-4419-7052-7
URL:
Volltext
(lizenzpflichtig)
Author information:
Taylor, Michael Eugene 1946-
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