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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Bibliographic Details
Main Author: Epstein, Marcelo (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : 2017.
Imprint: Springer,
Edition:1st ed. 2017.
Series:Mathematical Engineering,
Subjects:
Mechanics, Applied.
Differential equations.
Mathematical models.
Engineering Mechanics.
Differential Equations.
Mathematical Modeling and Industrial Mathematics.
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.

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