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Description
Fourier Series and Orthogonal FunctionsThis incisive text deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary value problems. Directed to advanced undergraduate and graduate students in mathematics as well as in physics and engineering, the book requires no prior knowledge of partial differential equations or advanced vector analysis. Students familiar with
This incisive text deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary-value problems. Directed to advanced undergraduate and graduate students in mathematics as well as in physics and engineering, the book requires no prior knowledge of partial differential equations or advanced vector analysis. Students familiar with partial derivatives, multiple integrals, vectors, and elementary differential equations will find the text both accessible and challenging.The first three chapters of the book address linear spaces, orthogonal functions, and the Fourier series. Chapter 4 introduces Legendre polynomials and Bessel functions, and Chapter 5 takes up heat and temperature. The concluding Chapter 6 explores waves and vibrations and harmonic analysis. Several topics not usually found in undergraduate texts are included, among them summability theory, generalized functions, and spherical harmonics.
Throughout the text are 570 exercises devised to encourage students to review what has been read and to apply the theory to specific problems. Those preparing for further study in functional analysis, abstract harmonic analysis, and quantum mechanics will find this book especially valuable for the rigorous preparation it provides. Professional engineers, physicists, and mathematicians seeking to extend their mathematical horizons will find it an invaluable reference as well.
Binding Type: Paperback
Publisher: Dover Publications
Published: 05/01/1989
ISBN: 9780486659732
Pages: 432
Weight: 0.99lbs
Size: 8.48h x 5.39w x 0.85d
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Product Reviews
★★★★★ 2
No good
Color: 1pairs Black
Hold in them after 3 days
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Reviewed in the United States on April 15, 2026
★★★★★ 1
Cold and slimy feeling
Color: 2pairs Grey
The silicone lining in these socks feels very cold and slimy. I was not able to tolerate the cold on my feet.
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Reviewed in the United States on February 19, 2026
★★★★★ 5
Great stuff!
Color: #3 Rose Gold
Trying to give 4.5 stars. It’s phenomenal! My only .5 is that is absolutely does rub off on clothing. I’m going to a party tomorrow and I’ll try using setting spray after application.
I love it though. Light weight, no odor and shimmer you can use on body, hair and even accessories!
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Reviewed in the United States on May 16, 2026
★★★★★ 5
Beautiful, Subtle, Long Lasting Sparkle
Color: #3 Rose Gold
Sprays easily and seems long lasting, (stayed on for more than 3 hours of light household work). The glitter is very fine, and that’s exactly what I wanted, it is not visible dots or shapes- my arms just sparkled when I moved them and with the changing light. Feels like nothing is there. Nice!
Doesn’t feel especially moisturizing, but hasn’t dried my skin out either.
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Reviewed in the United States on September 3, 2025
★★★★★ 5
Great to have this on hand
Color: #3 Rose Gold
I bought the rose gold to add some shimmer to my body and hair. It's the right amount of shimmer to stand out. Looks super cute, it sticks easily and when you wash it off, the glitter comes off easily. The smell isn't the best, but it isn't terrible. I just use my own fragrance after I put this on. I love the glow it gives my skin and the shimmer it gives my hair. I'm going to buy this product again.
Second time buying this and I love it!
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Reviewed in the United States on August 29, 2024