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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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★★★★★ 5
Heavy chewer approved.
Style: Ball, Size: Medium (Pack of 1)
My pomsky will destroy a toy in minutes. Ropes, and the "indestructible" nylon type stuffs are no match for my furry shark. This ball has stood up to him like David. He loves the crunch and it is so much more tolerable than a squeaker. These will be a staple in his toy box - Chuckit toys are really the most durable dog toys I have found in three years.
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Reviewed in the United States on April 26, 2026
★★★★★ 5
Fun Ball
Style: Ball, Size: Medium (Pack of 2)
Great new ball for our pup. He loves the sound of the crunch!
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Reviewed in the United States on May 25, 2026
★★★★★ 5
Durability
Style: Ball, Size: Medium (Pack of 2)
My dog loves these balls!
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Reviewed in the United States on May 25, 2026
★★★★★ 5
Dogs love them
Style: Ball, Size: Medium (Pack of 2)
Our dogs love these. What’s great is that you can add more plastic (like from water bottles) if the plastic starts to fall out from the center. If you have a chewer, though, these won’t last you long. Our shepherd mix loves these and then starts to pull the rubber apart the more she plays with it. Our other dogs treat it normally, though, and those ones last forever. They also get some decent height when bounced, and they make a unique whistling noise when thrown.
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Reviewed in the United States on November 17, 2025
★★★★★ 4
Our pup loves the cronch cronch!
Style: Ball, Size: Medium (Pack of 1)
I bought our 15 month old Coton several Chuck-It toys on an Amazon deal. He is incredibly playful, mischievous, and ball/toy obsessed, especially for anything that makes noise. He can also be very destructive so I love how durable most of their products are - they’re among our longest lasting toys and worth every penny. We have yet to take them to the dog park, but they’re a perfect size for sharing in play time. And they are keeping him busy at home - that’s a good thing.
He loves investigating the crunchy-cronchy-crinkly sound which is a nice change from squeakers. It can withstand his destructive chewing well-being, gentle on his little teeth. I love that. Chuck-It is thinking outside the box with a variety of balls to keep dogs engaged! I do worry about the crinkle plastic inside because it is accessible because of the air holes and it feels a little sharp. So this will have to be an at home toy so we can monitor his play.
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Reviewed in the United States on May 28, 2026