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Ebook Download Introduction to the Theory of Fourier's Series and Integrals, by H. S. Carslaw

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Introduction to the Theory of Fourier's Series and Integrals, by H. S. Carslaw

Ebook Download Introduction to the Theory of Fourier's Series and Integrals, by H. S. Carslaw

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As an introductory explanation of the theory of Fourier's series, this clear, detailed text is outstanding. The third revised edition, which is here reprinted unabridged, 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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Product details

Paperback: 368 pages

Publisher: Dover Publications; 3rd Revised & Enlarged edition (1950)

Language: English

ISBN-10: 0486600483

ISBN-13: 978-0486600482

Product Dimensions:

5.5 x 0.8 x 8.2 inches

Shipping Weight: 6.4 ounces

Average Customer Review:

3.4 out of 5 stars

3 customer reviews

Amazon Best Sellers Rank:

#1,552,212 in Books (See Top 100 in Books)

My favorite thing about this volume is that it provides an excellent historical introduction. There are many historical footnotes integrated into the presentation.I would not call this a textbook, but it does contain a fair number of exercises, gently called examples. However the level of these examples ranges from moderate to great difficulty. The text is dated 1930 and does not benefit from a modern view, but all results are rigorously presented, and sufficient background is provided for use by anyone with a background of Integral Calculus.The integral used in the development of the material is the Riemann Integral, but the author includes an appendix covering Lebesgue Integration.The Dover edition is of good physical quality, but my original copy is a bit worn from years of reference so I have purchased an additional copy that remains unwrapped.

Although very dated, it is one of the best books about series. It is not only about Fourier's series. It covers very deep information about analysing series.

Very unreadably poor xerographic reproduction on thin cheap bleeding paper. Every page contains many broken type font which especially make this mathematics book not only useless but also mentally annoying and physically irritating. I returned mine for refund; Amazon was quite polite.

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Introduction to the Theory of Fourier's Series and Integrals, by H. S. Carslaw PDF

Introduction to the Theory of Fourier's Series and Integrals, by H. S. Carslaw PDF

Introduction to the Theory of Fourier's Series and Integrals, by H. S. Carslaw PDF

Introduction to the Theory of Fourier's Series and Integrals, by H. S. Carslaw PDF