Fourier Series
By Georgi P. Tolstov
* Publisher: Dover Publications
* Number Of Pages: 336
* Publication Date: 1976-06-01
* ISBN-10 / ASIN: 0486633179
* ISBN-13 / EAN: 9780486633176
Product Description:
This reputable translation covers trigonometric Fourier series, orthogonal systems, double Fourier series, Bessel functions, the Eigenfunction method and its applications to mathematical physics, operations on Fourier series and much more. Over 100 problems at ends of chapters. Answers in back of book. 1962 ed.
Summary: Great Book
Rating: 5
This is an excellent book on Fourier series! All you need is first year calculus to understand most of what is going on in this book. However it is quite mathematical in nature and if you are looking for just a quick introduction without much fuss, than look elsewhere. If you are, like me, interested in more of the theory of Fourier Series then this book is excellent.
As another reviewer pointed out the book only covers trig Fourier and Fourier-Bessel series which is unfortunate. I am using this book in aide of learning PDEs and I have to say all the books on PDEs I've read do not have an adequate discussion of Fourier-Bessel series other than their possible existence and the other relationships you can derive from Sturm-Liouville theory.
The problems in Chapter 9 are excellent applications of Fourier Series in the study of PDEs. I should note that another HUGE plus to this book is that the answer to every question is in the back making it ideal for self-study.
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