Partial Differential Equations II : Qualitative Studies of Linear Equations / by Michael E. Taylor
Material type:
Computer fileSeries: Applied Mathematical Sciences 116Publisher: New York, NY Springer Science+Business Media, LLC 2011Edition: 2. edDescription: 614 PagesISBN: 9781441970510; 1441970517; 9781441970527; 1441970525Subject(s): Differential equations, Partial | Mathematics | Differential equations, Partial | Mathematics | Differential equations, partial | Mathematics | Partielle Differentialgleichung | Lineare GleichungLOC classification: QA374 | .T3797 2011Other classification: SK 540 Summary: 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.
| Item type | Current library | Call number | Copy number | Status | Notes | Date due | Barcode |
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Main Library | QA377 .T39 2011 (Browse shelf (Opens below)) | 1 | Available | STACKS | 51952000319245 |
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| QA372.S533 2006 A first course in differential equations with applications / | QA374 .D83 2011 Partial differential equations | QA377 .T39 2011 Partial Differential Equations I : Basic Theory / | QA377 .T39 2011 Partial Differential Equations II : Qualitative Studies of Linear Equations / | QA377 .T39 2011 Partial differential equations. III, Nonlinear equations / | QA379 .S234 2016 Stochastic methods for boundary value problems : numerics for high-dimensional PDEs and applications / | QA39.2 .G47 2007 Mathematical structures for computer science : a modern approach to discrete mathematics / |
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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