Robert C. McOwen
Partial Differential Equations
Methods and Applications
Paperback Engels 2002 2e druk 9780130093356Levertijd ongeveer 8 werkdagen
Gratis verzonden
Samenvatting
For a one-year, graduate-level course in Partial Differential Equations. Designed to bridge the gap between introductory texts in partial differential equations and the current literature in research journals, this text introduces students to the basics of classical PDEs and to a wide variety of more modern methods-especially the use of functional analysis-which has characterized much of the recent development of PDEs. Throughout, the results are almost completely self-contained.
Specificaties
ISBN13:9780130093356
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:464
Uitgever:Pearson Education (US)
Druk:2
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Inhoudsopgave
Introduction.
1. First-Order Equations.
2. Principles for Higher-Order Equations.
3. The Wave Equation.
4. The Laplace Equation.
5. The Heat Equation.
6. Linear Functional Analysis.
7. Differential Calculus Methods.
8. Linear Elliptic Theory.
9. Two Additional Methods.
10. Systems of Conservation Laws.
11. Linear and Nonlinear Diffusion.
12. Linear and Nonlinear Waves.
13. Nonlinear Elliptic Equations.
Appendix on Physics.
Hints and Solutions for Selected Exercises.
References.
Index.
Index of Symbols.
1. First-Order Equations.
2. Principles for Higher-Order Equations.
3. The Wave Equation.
4. The Laplace Equation.
5. The Heat Equation.
6. Linear Functional Analysis.
7. Differential Calculus Methods.
8. Linear Elliptic Theory.
9. Two Additional Methods.
10. Systems of Conservation Laws.
11. Linear and Nonlinear Diffusion.
12. Linear and Nonlinear Waves.
13. Nonlinear Elliptic Equations.
Appendix on Physics.
Hints and Solutions for Selected Exercises.
References.
Index.
Index of Symbols.
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