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Distribution Theory and Transform Analysis: An Introduction to Generalized Functions, with ApplicationsDistribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the first to give a clear explanation of distribution theory; it combines the theory effectively with
Distribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the first to give a clear explanation of distribution theory; it combines the theory effectively with extensive practical applications to science and engineering problems.Based on a graduate course given at the State University of New York at Stony Brook, this book has two objectives: to provide a comparatively elementary introduction to distribution theory and to describe the generalized Fourier and Laplace transformations and their applications to integrodifferential equations, difference equations, and passive systems.
After an introductory chapter defining distributions and the operations that apply to them, Chapter 2 considers the calculus of distributions, especially limits, differentiation, integrations, and the interchange of limiting processes. Some deeper properties of distributions, such as their local character as derivatives of continuous functions, are given in Chapter 3. Chapter 4 introduces the distributions of slow growth, which arise naturally in the generalization of the Fourier transformation. Chapters 5 and 6 cover the convolution process and its use in representing differential and difference equations. The distributional Fourier and Laplace transformations are developed in Chapters 7 and 8, and the latter transformation is applied in Chapter 9 to obtain an operational calculus for the solution of differential and difference equations of the initial-condition type. Some of the previous theory is applied in Chapter 10 to a discussion of the fundamental properties of certain physical systems, while Chapter 11 ends the book with a consideration of periodic distributions.
Suitable for a graduate course for engineering and science students or for a senior-level undergraduate course for mathematics majors, this book presumes a knowledge of advanced calculus and the standard theorems on the interchange of limit processes. A broad spectrum of problems has been included to satisfy the diverse needs of various types of students.
Binding Type: Paperback
Publisher: Dover Publications
Published: 11/18/2010
ISBN: 9780486654799
Pages: 400
Weight: 0.89lbs
Size: 8.44h x 5.39w x 0.78d
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★★★★★ 4
As expected
Size: 1.45 Pound (Pack of 1)
As expected Flavor is kinda gross
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Reviewed in the United States on May 11, 2026
★★★★★ 5
Good flavor
Size: 1.45 Pound (Pack of 1)
Good flavor. I quit drinking Metamucil in the past because I didn't like the orange. I was reluctant to try a different flavor but after reading many positive comments about this one I decided to try it. I was not disappointed. Thank you to all who left positive comments about the Berry flavor.
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Reviewed in the United States on February 11, 2026
★★★★★ 5
This could really be a life changer for you. It was for me.
Size: 1.46 Pound (Pack of 1)
I was having a real problem with severe constipation caused by medication I am taking. I mean it got scary bad and I was really worried if the rest of my life would have this problem. I made the mistake of thinking a laxative was the answer, although it did bring temporary relief (that one time), it was a mess to say the least. I talked to my physician about this problem and he said do not take the laxatives (they are an irritant), but to try a fiber product such as Metamucil. I thought Metamucil was for "old people", for "sick people" and such. So I got on Amazon (of course) and bought this product and started using it exactly as the instructions say to.
It has been an AMAZING transformation. Very quickly, my constipation problem began to go away until it was never a problem again. I noticed that I became much more healthier in my digestive system. It worked better, felt better and I am sure it was MUCH BETTER for my body health wise. I have to say that I was a little put off by some of the moderately graphic phrases that some reviewers said such as "cleanest wipe you will ever have" and "smooth as butter" and whatever. BUT, these people were exactly correct. The things that they said were completely true. I will get graphic myself since I want people to know. When you go, you will know it is time, and there is no running to the bathroom suddenly. There is no struggle, no waiting, no straining. You just go and everything comes out just the way it should. Very easy. Now, when you do use that toilet paper, you will be amazed that there just is no "residue" on that paper. Clean as a whistle both on the paper and your down under. Honestly, I don't know how or why, it just is.
This product will change your life for the better in several ways. Your daily functioning will be much smoother. You will probably lose some inches from the waist. Your bloodwork results will probably be more positive. You will be healthier. I wish I had known about this product a long time ago! What other things are out there that I should have know about, I wonder!
The orange sugar free tastes great, like Tang or even orange juice. I put a heaping teaspoon of powder in a normal sized glass of water, stir it immediately and down the hatch. I stir again halfway down to make sure there is not a bunch waiting for me at the bottom of the glass. I don't mind the taste or the grit or anything. It's all good. I love this stuff and what it does for me! I will be using it for the rest of my life.
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Reviewed in the United States on February 28, 2015
★★★★★ 5
Orange flavor
Size: 1.46 Pound (Pack of 1)
This is a great product. I love the orange flavor for it being sugar free . It tastes amazing.
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Reviewed in the United States on February 27, 2026
★★★★★ 5
Recommended by my M.D.
Size: 1.46 Pound (Pack of 1)
My M.D. told me to use this daily. It tastes a bit like "Tang" but that's fine. The fiber is good for regular bowel movements, but it also gives you a feeling of fullness which is helpful in reducing hunger sensations. So, it can help with weight loss. Be sure you get the sugar-free.
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Reviewed in the United States on April 5, 2026