Partial Differential Equations Mathematical Techniques for Engineers /

• Κύριος συγγραφέας: Epstein, Marcelo (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Mathematical Engineering,
• Θέματα: Engineering.; Partial differential equations.; Mathematical models.; Mechanics.; Mechanics, Applied.; Theoretical and Applied Mechanics.; Partial Differential Equations.; Mathematical Modeling and Industrial Mathematics.

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....

Πίνακας περιεχομένων:

• 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.