Partial Differential Equations II: Qualitative Studies of Linear Equations (Applied Mathematical Sciences, Volume 116) | 
 enlarge | Author: Michael E. Taylor
Publisher: Springer
Category: Book
List Price: $119.00
Buy New: $76.00
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Rating:  1 reviews
Sales Rank: 407598
Media: Hardcover
Edition: Corrected
Pages: 556
Number Of Items: 1
Shipping Weight (lbs): 2
Dimensions (in): 8.9 x 6 x 1.5
ISBN: 0387946519
EAN: 9780387946511
Publication Date: May 22, 1997
Availability: Usually ships in 1-2 business days
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Product Description
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.
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Modern approach to important topics of mathematical physics. May 10, 2000
Bernardo Vargas (Weimar, Germany)
2 out of 3 found this review helpful
This second volume focuses on several interesting problems arising from mathematical physiscs, making a perfect connection between the purely theoretical digression and the sources from which it originated.The contents are: Pseudodifferential operators; spectral theory; scattering by obstacles; Dirac operators and index theory; Brownian motion and potential theory; the "D"-bar Neumann problem. Appendix: Connections and curvature. Useful for mathematics and physics advanced undergraduates, graduate students, and researchers. Plenty of excercises and references.
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