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Principles of Partial Differential Equations [electronic resource] / by Alexander Komech, Andrew Komech.

By: Contributor(s): Series: Problem Books in MathematicsPublisher: New York, NY : Springer New York, 2009Description: X, 161 p. 85 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781441910967
Subject(s): Genre/Form: Additional physical formats: Printed edition:: No titleDDC classification:
  • 515 23
LOC classification:
  • QA299.6-433
Online resources:
Contents:
Hyperbolic equations. Method of characteristics -- The Fourier method -- Distributions and Green’s functions -- Fundamental solutions and Green’s functions in higher dimensions -- Erratum.
In: Springer eBooksSummary: This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques. The theoretical part is rigorous and with important details presented with care. Hints are provided to help the reader restore the arguments to their full rigor. Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study.
Item type: eBooks
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Hyperbolic equations. Method of characteristics -- The Fourier method -- Distributions and Green’s functions -- Fundamental solutions and Green’s functions in higher dimensions -- Erratum.

This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an opportunity to master solution techniques. The theoretical part is rigorous and with important details presented with care. Hints are provided to help the reader restore the arguments to their full rigor. Many examples from physics are intended to keep the book intuitive and to illustrate the applied nature of the subject. The book is useful for a higher-level undergraduate course and for self-study.

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