Articles liés à Elementary Partial Differential Equations: Theory and...

Elementary Partial Differential Equations: Theory and Solved Problems - Couverture souple

Piché, Robert

 
9783659239878: Elementary Partial Differential Equations: Theory and Solved Problems

Synopsis

This textbook presents derivations and analytical solution methods for the basic linear partial differential equations that model transport, heat, diffusion, waves, vibration, and steady-state equilibrium (Laplace and Poisson equations). General theorems about solution properties (such as uniqueness and stability) are presented. Solution methods include Dirichlet's principle, separation of variables, Fourier series, and Green's functions. The book includes 61 problems with detailed solutions. The book is suitable for students of undergraduate mathematics, engineering, and science.

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Présentation de l'éditeur

This textbook presents derivations and analytical solution methods for the basic linear partial differential equations that model transport, heat, diffusion, waves, vibration, and steady-state equilibrium (Laplace and Poisson equations). General theorems about solution properties (such as uniqueness and stability) are presented. Solution methods include Dirichlet's principle, separation of variables, Fourier series, and Green's functions. The book includes 61 problems with detailed solutions. The book is suitable for students of undergraduate mathematics, engineering, and science.

Biographie de l'auteur

Robert Piché (PhD Waterloo 1986) is professor of mathematics at Tampere University of Technology in Tampere, Finland.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.