Introduction to Partial Differential Equations
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ISBN-13:
9783319840512
Veröffentl:
2018
Einband:
Paperback
Erscheinungsdatum:
13.07.2018
Seiten:
304
Autor:
David Borthwick
Gewicht:
464 g
Format:
235x155x17 mm
Serie:
Universitext
Sprache:
Englisch
Beschreibung:
What is the scientific problem we are trying to understand?
How do we model that with PDE?
What techniques can we use to analyze the PDE?
How do those techniques apply to this equation?
What information or insight did we obtain by developing and analyzing the PDE?
How do we model that with PDE?
What techniques can we use to analyze the PDE?
How do those techniques apply to this equation?
What information or insight did we obtain by developing and analyzing the PDE?
Perfect book for a ?One-semester PDE course
1. Introduction.- 2. Preliminaries.- 3. Conservation Equations and Characteristics.- 4. The Wave Equation.- 5. Separation of Variables.- 6. The Heat Equation.- 7. Function Spaces.- 8. Fourier Series.- 9. Maximum Principles.- 10. Weak Solutions.- 11. Variational Methods.- 12. Distributions.- 13. The Fourier Transform.- A. Appendix: Analysis Foundations.- References.- Notation Guide.- Index.
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