Beschreibung:
Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics.
A Heated DiscussionFourier SeriesReturn to the Heated BarGeneralized Fourier SeriesThe Wave EquationOrthogonal SystemsFourier TransformsLaplace TransformsBoundary Value Problems in Higher DimensionsBoundary Value Problems with Circular SymmetryBoundary Value Problems with Spherical SymmetryUniform ConvergenceImproper IntegralsTables of Fourier and Laplace TransformsHistorical Bibliography