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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
★★★★★ 3
Works well, but very difficult to remove!
Color: Silver
Perspective: Ive had this caddy for 3 years and it has suited me well. Over time the hooks that hold the caddy in place loosened and the caddy would occasionally fall off the side of the sink wall. Not a huge deal, just a small inconvenience. Over time it started to happen more often because the plastic hooks completely lost their grip so I decided to replace it. Well it literally took me 3 days to get it off of the side of my sink. Using different tools to jimmy it off because the adhesive is sooo strong (which is a good thing, until you are looking to remove it). It took a razor blade and several bouts of goo gone to get the whole thing off as well as the leftover adhesive. The fact that it lasted for 3 years is a testament that it is a good product, but it lost several stars for the drama and pain and suffering it took to remove. I wont be buying another one.
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Reviewed in the United States on November 27, 2024
★★★★★ 5
Good For Deep Sinks
Color: Silver
This item is very sturdy however the piece on the outside that holds your rag tends to slip or lay flat all the time. The adhesive is very strong to the point where I needed to use a tool to get it off while moving, so you’ll never have to worry about it popping off your sink! I can only figure that this fits in all sinks because at my old apartment I had a very small sink the only thing I didn’t like due to having a small sink my rag was always touching the bottom of the sink and there wasn’t any space left in the side I had it on. If you have a big sink I’d suggest this item because it looks nice and it gives your wash cloth and sponge a home in the kitchen!
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Reviewed in the United States on June 28, 2024
★★★★★ 5
Quality
Quality item. Using a butcher block on top to make a desk.
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Reviewed in the United States on May 13, 2026
★★★★★ 5
I love it!!!
Size: M Desk Unfinished 3/4-in and 1/2-in
Easy to assemble, all the pieces were in the box. I set everything out to be sure. Instructions were easy and clear, took about 10 min to put together.
Seems to be quality pipe, strong stable build even at just hand tight. When I put the desk top on it was already level so bonus there.
This kit is a great value, before I found the M desk I was looking on Pinterest for pipe leg designs thinking a trip to the hardware store and I could make it for cheaper, which was not the case. I 100% will recommend, and will purchase again.
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Reviewed in the United States on June 5, 2020
★★★★★ 5
Real steel pipe
Size: O Desk Unfinished 3/4-in and 1/2-in
This pipe table leg set was great. It's real steel pipe like from the hardware store. It does have a layer of oil on it so that must be stripped using dawn or some other degreaser before handleing and painting. It is also offset in the middle bar so if you use it as a desk you get more leg clearance. I used it as a table base so I bought matching middle braces to set the middle support in the center of the table. Once together it looks great. I highly recommend getting this if you want a good quality pipe base.
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Reviewed in the United States on May 11, 2023