Applied partial differential equations

Applied partial differential equations /

Show other versions (1)

"This primer on elementary partial differential equations presents the standard material usually covered in a one-semester, undergraduate course on boundary value problems and PDEs. What makes this book unique is that it is a brief treatment, yet it covers all the major ideas: the wave equation...

Full description

Saved in:
Bibliographic Details
Main Author: Logan, J. David (John David)
Format: Book
Language:English
Published: New York : Springer, ©2004.
Edition:2nd ed.
Series:Undergraduate texts in mathematics
Subjects:
Differential equations, Partial.
Équations aux dérivées partielles.
Partielle Differentialgleichung
Partiële differentiaalvergelijkingen.
Equações diferenciais parciais.
PARTIAL DIFFERENTIAL EQUATIONS.
DIFFERENTIAL EQUATIONS.
MATHEMATICS.
Table of Contents:
  • Ch. 1. physical origins of partial differential
  • 1.1. Mathematical models
  • 1.2. Conservation laws
  • 1.3. Diffusion
  • 1.4. PDEs in biology
  • 1.5. Vibrations and acoustics
  • 1.6. Quantum mechanics
  • 1.7. Heat flow in three dimensions
  • 1.8. Laplace's equation
  • 1.9. Classification of PDEs
  • Ch. 2. Partial differential equations on unbounded domains
  • 2.1. Cauchy problem for the heat equation
  • 2.2. Cauchy problem for the wave equation
  • 2.3. Ill-posed problems
  • 2.4. Semi-infinite domains
  • 2.5. Sources and Duhamel's principle.

Similar Items