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Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences Book 115) by Michael Eugene Taylor, matematyk); Springer Science+Business Media is a nonfiction available to read on EtoBox.
What is Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences Book 115) about?
The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. 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 through the use of these books over time. Mi
Who reads Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences Book 115)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Michael Eugene Taylor, matematyk); Springer Science+Business Media
- Publisher
- Springer New York : Imprint: Springer
- Published
- 2010
- Language
- EN
- ISBN
- 9781441970497
- Category
- nonfiction
- Subjects
- Mathematics, Stem
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) (2011)
- Partial Differential Equations II: Qualitative Studies of Linear Equations (Applied Mathematical Sciences Book 116) (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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