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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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★★★★★ 5
Who doesn't love a unicorn?
Size: 2T, Color: Pink/Unicorn
Cute set but runs a bit big in my opinion for a size 2T. My grandbaby is tall for her age (22 months), but the pants were really long and loose on her, granted she's not chunky, so factor that in. Overall, it's a nice set and the material is soft (especially the pants) and seems like it would keep the little ones warm.
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Reviewed in the United States on December 31, 2025
★★★★★ 5
Cute outfit for everyday.
Size: 2T, Color: Pink/Unicorn
Exactly as pictured. Good quality, not too thin but also not too thick. True to size and looks like it will keep my baby warm when she’s inside. Good price on sale! Was a steal!
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Reviewed in the United States on December 13, 2025
★★★★★ 5
High Quality
Size: X-Small, Color: Pink/Unicorn
High print quality, and vivid colors. Got exactly what I expected.
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Reviewed in the United States on December 25, 2025
★★★★★ 4
Just as pictured
Size: X-Large, Color: Mauve/Apples
It is sized big so I suggest that you order a size down.other than that it is just as pictured.
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Reviewed in the United States on November 13, 2025
★★★★★ 5
Good
Size: Medium, Color: Pink/Unicorn
Fits as expected.
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Reviewed in the United States on March 26, 2026