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Fourier Series (Dover Books on Mathematics)

by Georgi P. Tolstov (Author)
4.6 out of 5 stars 56 customer reviews
#1 Best Sellerin Functional Analysis Mathematics
ISBN-13: 978-0486633176
ISBN-10: 0486633179
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Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 352 pages
  • Publisher: Dover Publications (June 1, 1976)
  • Language: English
  • ISBN-10: 0486633179
  • ISBN-13: 978-0486633176
  • Product Dimensions: 5.6 x 0.7 x 8.3 inches
  • Shipping Weight: 12.8 ounces (View shipping rates and policies)
  • Average Customer Review: 4.6 out of 5 stars  See all reviews (56 customer reviews)
  • Amazon Best Sellers Rank: #25,101 in Books (See Top 100 in Books)

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Customer Reviews

Top Customer Reviews

5.0 out of 5 starsexcellent introduction
By Garrett H. Hansen on September 9, 2004
Format: Paperback
This book is a great introduction to the theory of Fourier series. If, like me, you're starting from scratch with a healthy calc background, you'll have no trouble using this book for self-study. The exercises are not trivial, but they won't take an hour each (like Whittaker & Watson).

My one gripe is that, aside from trig systems, Fourier-Bessel systems, and one paragraph on Legendre polynomials, they fail to give any other examples of complete orthogonal systems. If you're looking for a general book on orthogonal functions, this is not it. It is, however, a perfect introduction to the Fourier theory.
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5.0 out of 5 starsGreat Book
By L. Bovard on December 31, 2008
Format: Paperback
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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5.0 out of 5 starsVery very good one
By Rakesh on January 17, 2010
Format: Paperback Verified Purchase
Can't say anything wrong about this book. Initially I bought this because I wanted to get a little more out of the PDE. But man, after the reading the first 2 chapters, I was hooked on the subject. The most interesting matter happens in 3, 4 and 5 and after that it gets really really good when he talks about Bessel functions and Eigenfunction methods in the last 2 chapters.

I would say this is an excellent book on the subject matter. This is one of those extremely rare books that when you complete a page and flip, you will never have to flip back to recall. The explanation sticks to your mind perfectly.

I think that I have understood many other topics well once I learned a little bit about fourier analysis. Some of the ideas such as convergence of fourier-bessel functions and almost every topic in chapter 9 is very well presented and useful in many other classes where particular books skip (or save pages) on these vital topics.
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4.0 out of 5 starsGreat Book
By Nejat Neisan on December 2, 2005
Format: Paperback
This book is a must for the beginner and those who want to get their feet wet and beyond. Following the first chapter, lemma's and theorem's explained in the precise and concise fashion. And individuals with background in mathematics and in particular physics are the primary beneficiaries of this book. The thing that I enjoyed most were the related problem's at the end, as the theory of Bessel functions fully lay on the table along with related exercise and APPLICATIONS. As a physicist I have ever hardy encounter any simple book but yet effective. Highly recommended.
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5.0 out of 5 starsvery nice
By A Customer on October 8, 1999
Format: Paperback
A good, thorough treatment of Fourier series and their applications to PDEs. I was impressed by the rigorous, yet clear explanatations. The book is advanced material but very easy to read. Definitely recommended, and it's very cheap too!
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5.0 out of 5 starsGreat for Self Tuition
By Michel Alan on July 15, 2008
Format: Paperback
I thought that this book was an excellent introduction for someone with some mathematics background, but no prior knowledge of Fourier Series. The book assumes a knowledge of basic calculus and, of course, a knowledge of some common mathematical notation. I thought that the information was built up in a logical intuitive manner and that it was possible just to read the book (without doing too many exercises with pen and paper) and get a decent sense of how Fourier series worked.
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4.0 out of 5 starsSolid
By Bobby Winters on December 12, 2000
Format: Paperback Verified Purchase
This is a solid and inexpensive book on the subject. There are lots of examples and many exercise solutions. It is useful for self-study to the well motivated.
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5.0 out of 5 starsgood reference
By A Customer on October 11, 1999
Format: Paperback
This book can be used as a reference, or as an introduction to Fourier series. It is clearly written, and gives the rigorous foundation as well as some practical applications of Fourier series.
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Most Recent Customer Reviews

5.0 out of 5 starsGreat book

This is excellently written. This is perfect for self study, which is exactly what I bought it for. The author has a way of clearly and succinctly explaining the sometimes complex... Read more

Published 20 days ago by Drake Osaben
4.0 out of 5 starsFour Stars

Good synopsis

Published 2 months ago by George R. Diak
5.0 out of 5 starsFive Stars

This is exactly what my husband wanted.

Published 3 months ago by Jennalyn W Tellman
5.0 out of 5 starsFive Stars

thank you.

Published 5 months ago by Tengiz Bibilashvili
5.0 out of 5 starsthis has been a very nice, descriptive treatment of Fourier series and...

I'm about 80 pages in, but so far, this has been a very nice, descriptive treatment of Fourier series and properties thereof.

Essentially everything stated is proved. Read more

Published 6 months ago by Anthony
5.0 out of 5 starsExcelent

Excelent

Published 6 months ago by Matias Anastopulos
5.0 out of 5 starsFive Stars

great

Published 6 months ago by Stefano Tracà
5.0 out of 5 starsWhat a good book

This is the kind of math book I like the most. It is written so beautifully and elegantly and the material is so mindblowingly beautiful. I wish I had read this years ago.

Published 7 months ago by Gets Around
5.0 out of 5 starsFive Stars

Very good book, excellent price, and excellent seller.

Published 8 months ago by Nestor Julio Matos Ureña
4.0 out of 5 starsFour Stars

This books worked well for me.

Published 8 months ago by Richard R Kazmierzak

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