H. S. Carslaw, "Introduction to the theory of Fourier's series and integrals"
1921 | pages: 332 | ASIN: B0062PZ42G | DJVU | 8 mb
As an introductory explanation of the theory of Fourier's series, this clear, detailed text is outstanding. The book contains 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. An appendix compares the Lebeague definite integral with the classical Riemann integral.
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