Sumario: | The importance of partial differential equations (PDEs) in modelingphenomena in engineering as well as in the physical, natural, andsocial sciences is well known by students and practitioners inthese fields. Striking a balance between theory and applications, Fourier Series and Numerical Methods for Partial DifferentialEquations presents an introduction to the analytical andnumerical methods that are essential for working with partialdifferential equations. Combining methodologies from calculus,introductory linear algebra, and ordinary differential equations(ODEs), the book strengthens and extends readers' knowledge of thepower of linear spaces and linear transformations for purposes ofunderstanding and solving a wide range of PDEs. The book begins with an introduction to the general terminologyand topics related to PDEs, including the notion of initial andboundary value problems and also various solution techniques.
|