Partial Differential Equations I
Basic Theory
Seiten
2012
|
2nd ed. 2011
Springer-Verlag New York Inc.
978-1-4614-2726-1 (ISBN)
Springer-Verlag New York Inc.
978-1-4614-2726-1 (ISBN)
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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.
Michael E. Taylor is a Professor at North Carolina University in the Department of Mathematics.
| Reihe/Serie | Applied Mathematical Sciences ; 115 |
|---|---|
| Zusatzinfo | XXII, 654 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | Basic Theory of ODE and Vector Fields • fourier analysis • Laplace equation • Linear Elliptic Equations • wave equation |
| ISBN-10 | 1-4614-2726-6 / 1461427266 |
| ISBN-13 | 978-1-4614-2726-1 / 9781461427261 |
| Zustand | Neuware |
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