Introduction to the Theory of Fourier's Series and Integrals
by H. S. Carslaw
Publisher: Macmillan and co. 1921
Number of pages: 346
As an introductory explanation of the theory of Fourier's series, this clear, detailed text is outstanding. It covers tests for uniform convergence of series, a thorough treatment of term-by-term integration and the second theorem of mean value, enlarged sets of examples on infinite series and integrals, and a section dealing with the Riemann Lebeague theorem and its consequences.
Home page url
Download or read it online for free here:
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 Thomas Wolff - American Mathematical Society
An inside look at the techniques used and developed by the author. The book is based on a graduate course on Fourier analysis he taught at Caltech. It demonstrates how harmonic analysis can provide penetrating insights into deep aspects of analysis.
by J. Delsarte - Tata Institute of Fundamental Research
Subjects treated: transmutations of singular differential operators of the second order in the real case; new results on the theory of mean periodic functions; proof of the two-radius theorem, which is the converse of Gauss's classical theorem.
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.