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Richard A. Silverman's series of translations of outstanding Russian textbooks and monographs is well-known to people in the fields of mathematics, physics, and engineering. The present book is another excellent text from this series, a valuable addition to the English-language literature on Fourier series.This edition is organized into nine well-defined chapters: Trigonometric Fourier Series, Orthogonal Systems, Convergence of Trigonometric Fourier Series, Trigonometric Series with Decreasing Coefficients, Operations on Fourier Series, Summation of Trigonometric Fourier Series, Double Fourier Series and the Fourier Integral, Bessel Functions and Fourier-Bessel Series, and the Eigenfunction Method and its Applications to Mathematical Physics. Every chapter moves clearly from topic to topic and theorem to theorem, with many theorem proofs given. A total of 107 problems will be found at the ends of the chapters, including many specially added to this English-language edition, and answers are given at the end of the text. Richard Silverman's excellent translation makes this book readily accessible to mathematicians and math students, as well as workers and students in the fields of physics and engineering. He has also added a bibliography, containing suggestions for collateral and supplementary reading. 1962 edition.
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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:
5.8 x 0.8 x 8.2 inches
Shipping Weight: 12.8 ounces (View shipping rates and policies)
Average Customer Review:
4.4 out of 5 stars
68 customer reviews
Amazon Best Sellers Rank:
#370,306 in Books (See Top 100 in Books)
I am a MSc student at Electronics and Telecommunications Engineering. Working on the field of Signal Processing so Fourier Series and Fourier Transforms are very important for me. This is why I ordered this book. I quickly had a look at the book. Easy to understand translation, understandable mathematical explanations. So it is like having a Mustang GT for $3.99. I recommend this book to engineers who are related with Fourier Series and Fourier Transforms(book itself doesn't deeply talk about Fourier Transform but it constructs a base for it)."#1 Best Seller in Functional Analysis Mathematics" is a well deserved title for this book.
Great book for Fourier Series. Well-explained for a topic that has the potential to be confusing depending on the angle the author chooses to approach it. Each book seems to have a different approach and I like how this book doesn’t jump to conclusions without a thorough explanation.
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. And there are ~20 problems at the end of each chapter, varying in difficulty. With solutions or hints to most in the back of the book.Overall. Fantastic treatment.
Great book. This helped me teach myself Fourier series relatively easily. I love all of these "Dover Books" - they're very well written, clear, and concise with good examples all the way through. And the price compared to modern texts.....how can you beat it? I would recommend to anyone.
My propose when I bought this book was understanding what was behind in quantum mechanics.So far, I have understood a lit bit more that formalism.It's really recommend.Enjoy.
Is really amazing! The explanations of Fourier Series are very simple and marvelous.
Lots of good examples and problems
Not for everyone, but if you need to work with complex signals (like human speech), this is one way to get working...
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