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Partial Differential Equations Mathematical Techniques for Engineers /
This monograph presents a graduate-level treatment of partial differential equations (PDEs) for engineers. The book begins with a review of the geometrical interpretation of systems of ODEs, the appearance of PDEs in engineering is motivated by the general form of balance laws in continuum physics....
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Format: | e-Book |
Language: | English |
Published: |
Cham :
Springer International Publishing :
2017.
Imprint: Springer, |
Edition: | 1st ed. 2017. |
Series: | Mathematical Engineering,
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Subjects: | |
Online Access: | Full-text access |
Table of Contents:
- Vector fields and ordinary differential equations
- Partial differential equations in engineering
- The single first-order quasi-liner PDE
- Shock waves
- The genuinely nonlinear first-order equation
- The second-order quasi-linear equation
- Systems of equations
- The one-dimensional wave equation
- Standing waves and separation of variables
- The diffusion equation
- The Laplace equation.