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Description
Distribution Theory & Applications (V9)This book is an introductory course to the very important theory of distributions, as well as its applications in the resolution of partial differential equations (PDEs). It begins with a chapter of general interest, on the fundamental spaces (or test function spaces). The book advances and concludes with a chapter on Sobolev spaces, which are known to be very important in the resolution of PDEs. The very basic properties of distributions are examined
This book is an introductory course to the very important theory of distributions, as well as its applications in the resolution of partial differential equations (PDEs). It begins with a chapter of general interest, on the fundamental spaces (or test function spaces). The book advances and concludes with a chapter on Sobolev spaces, which are known to be very important in the resolution of PDEs.The very basic properties of distributions are examined in detail. Several formal methods have been first used, without rigorous justifications (Dirac function, principal value of Cauchy, finite parts of Hadamard). They find their natural frame in distribution theory. It is the same for Laplace transformation which is a fundamental tool in symbolic calculations.A detailed treatment is given to the convolution product for it is a central theme in distribution theory. Another very important instrument, covered in several chapters, is the Fourier transformation which is among the most fundamental tools in different mathematical disciplines, and also in physics. Convolution algebras, which are sufficient for the treatment of classical PDEs, are used in various applications.The general frame for the resolution of PDEs is the theory of kernels -- the first elements of which are sufficient to show the practicality of distribution theory in applications.Comments are provided to clarify the settings and sustain calculations. This book may be used by mathematicians, physicists, engineers and graduate students.Shipping Notes
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★★★★★ 4
Good at price
Size: 9 Wide, Color: Sand
Fit a little small at my big toe but otherwise fit well. Heel rubbed slightly first 5 hour wear but no blister.
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Reviewed in the United States on May 9, 2026
★★★★★ 5
Lightweight comfortable at a good price!
Size: 10.5, Color: Navy
These shoes are perfect. The color matches my navy outfits as well as my denim. They are comfortable and they look great. They are easy to pack lightweight and a great value.
I am extremely satisfied and highly recommend!
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Reviewed in the United States on June 3, 2026
★★★★★ 3
REALLY CUTE SHOE BUT CUT WAY TOO SMALL!
Size: 8, Color: Black Patent
I received the black patent leather shoes today and they are so cute! Sadly I need to return them because they are cut way too small. I normally wear a 7.5 or 8 on dress shoes so I ordered the 8. They are so tight across the top that it's uncomfortable as soon as I put them on. They are smaller than a normal size 8 dress shoe. The big toe area is extremely uncomfortable because it doesn't allow any room for it at all, so my big toe just presses against the side and end of the shoe without even walking in them. I have very narrow feet and these still are too small for me. So I am returning them and I already ordered a 8.5 W and hope that will fit much better. The patent leather is very cute and adds just enough dressy that I can wear them with slacks or my Capri jeans. I like the slip on and the cushion foot bed because it feels soft.
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Reviewed in the United States on May 26, 2026
★★★★★ 5
Love these flats!
Size: 9 Wide, Color: Black White Faux Snake Skin, Size: 9 Wide, Color: Black White Faux Snake Skin
One of my favorite pair of flats! I’ve had these for several years and they are still comfortable, in good shape and really add a little spice to my outfits. I can wear these all day and not have any foot pain or discomfort as a result. The quality is good, fit is perfect and I tend to have difficulty with shoes due to bunions. Love these!!
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Reviewed in the United States on May 23, 2026
★★★★★ 5
LOVE LOVE.
Size: 7.5 Wide, Color: Beige
I love these shoes so much I had to write a review. So comfortable. Cushioned. Fits perfectly especially if you are more on the wide side. They are soft. Flexible. Easy slip ons you can walk around in all day. I want to try more colors.
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Reviewed in the United States on June 4, 2026