Fourier Series and Systems of Differential Equations and Eigenvalue Problems
by Leif Mejlbro
Publisher: BookBoon 2007
Number of pages: 125
In this volume the author gives some guidelines for solving problems in the theories of Fourier series and Systems of Differential Equations and eigenvalue problems. This text can be used as a supplement to the normal textbooks in which one can find all the necessary proofs.
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by Christopher Frye, Costas J. Efthimiou - arXiv
The authors prepared this booklet in order to make several useful topics from the theory of special functions, in particular the spherical harmonics and Legendre polynomials for any dimension, available to physics or mathematics undergraduates.
by H. S. Carslaw - Macmillan and co.
An introductory explanation of the theory of Fourier's series. It covers tests for uniform convergence of series, a thorough treatment of term-by-term integration and second theorem of mean value, enlarged sets of examples on infinite series, etc.
by John P. Boyd - Dover Publications
The text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, cardinal functions, etc.
by Marcus Pivato - Cambridge University Press
Textbook for an introductory course on linear partial differential equations and boundary value problems. It also provides introduction to basic Fourier analysis and functional analysis. Written for third-year undergraduates in mathematical sciences.