Introduction to the Theory of Fourier's Series and Integrals
by H. S. Carslaw
Publisher: Macmillan and co. 1921
ISBN/ASIN: 0486600483
Number of pages: 346
Description:
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.
Download or read it online for free here:
Download link
(multiple formats)
Similar books
An elementary treatise on Fourier's series and spherical, cylindrical, and ellipsoidal harmonicsby William Elwood Byerly - Ginn and company
From the table of contents: Development in Trigonometric Series; Convergence of Fourier's Series; Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series; Zonal Harmonics; Spherical Harmonics; Cylindrical Harmonics; ...
(19180 views)
Harmonic Analysisby S.R.S. Varadhan - New York University
Fourier Series of a periodic function. Fejer kernel. Convergence Properties. Convolution and Fourier Series. Heat Equation. Diagonalization of convolution operators. Fourier Transforms on Rd. Multipliers and singular integral operators. etc...
(11745 views)
Fourier Series and Systems of Differential Equations and Eigenvalue Problemsby Leif Mejlbro - BookBoon
This volume gives some guidelines for solving problems in the theories of Fourier series and Systems of Differential Equations and eigenvalue problems. It can be used as a supplement to the textbooks in which one can find all the necessary proofs.
(15008 views)
Contributions to Fourier Analysisby A. Zygmund, et al. - Princeton University Press
In the theory of convergence and summability, emphasis is placed on the phenomenon of localization whenever such occurs, and in the present paper a certain aspect of this phenomenon will be studied for the problem of best approximation as well.
(9136 views)