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Partial Differential Equations II: Qualitative Studies of Linear Equations (Applied Mathematical Sciences Book 116) by Michael E. Taylor (auth.) is a nonfiction available to read on EtoBox.
What is Partial Differential Equations II: Qualitative Studies of Linear Equations (Applied Mathematical Sciences Book 116) about?
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, 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 targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. In this second edition, there are seven new sections including Sobolev spaces on rough domains, boundary layer phenomena for the heat equation, the space of pseudodifferential operators of harmonic oscillator type, and an index formula for elliptic systems of such operators. In addition, several other sections have been substantially rewritten, and numerous others polished to reflect insights obtained th
Who reads Partial Differential Equations II: Qualitative Studies of Linear Equations (Applied Mathematical Sciences Book 116)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Michael E. Taylor (auth.)
- Publisher
- Springer-Verlag New York
- Published
- 2011
- Language
- EN
- ISBN
- 9781441970480
- Category
- nonfiction
- Subjects
- Mathematics, Science, Physics
Other editions & translations
- Partial Differential Equations II: Qualitative Studies of Linear Equations (Applied Mathematical Sciences (116)) (2010)
- Partial Differential Equations III Volume 117 || (2011)
- Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences Book 115) (2010)
- Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences Book 115) (2011)
- Partial Differential Equations II Volume 116 || (2011)
- Partial Differential Equations III: Nonlinear Equations (Applied Mathematical Sciences Book 117) (2011)
- Partial Differential Equations I: Basic Theory (2011)
- Evidence-Based Imaging: Improving the Quality of Imaging in Patient Care (2010)
- Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences (115)) (2011)
- Partial Differential Equations I: Basic Theory: Second Edition (2011)
- Partial Differential Equations III: Nonlinear Equations (Applied Mathematical Sciences (117)) (2011)
- Partial Differential Equations II: Qualitative Studies of Linear Equations: Second Edition (2011)
- Partial Differential Equations III: Nonlinear Equations (2011)
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