SKU: 7016878322

Introduction to Lebesgue Integration and Fourier Series

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Introduction to Lebesgue Integration and Fourier SeriesThis book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise

This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, well-organized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects.
The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire.
Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented, that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.



Binding Type: Paperback
Publisher: Dover Publications
Published: 01/04/1995
ISBN: 9780486682938
Pages: 192
Weight: 0.60lbs
Size: 9.22h x 6.19w x 0.41d
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SKU: 7016878322

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Erin Brant
Battle Creek, US
★★★★★ 5
Fun for our puppies
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Fun tug of war toy for our heeler pups. They haven't destroyed it yet but time will tell. Cute, and easy to take with us to the park.
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Reviewed in the United States on June 10, 2026
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candybar5
Fort Morgan, US
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Dog toy for heavy chewers
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This is pretty durable. My puppy chews up most stuffed toys. This one is still mostly intact. It’s missing one ear and the tail but the way it was sewn it’s still very usable. It’s one of his favorite toys
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InspirationalReader
Louisville, US
★★★★★ 5
Great dog toy! Good quality!
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Great quality dog toy! The rope is thick and not easy to break. Fun toy for my medium-sized dog who loves to tug-of-war with me.
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Reviewed in the United States on December 30, 2025
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Edilla
Houston, US
★★★★★ 3
For small dog
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It's cute for the price, but it's meant for small dogs, it's very easy for medium-sized dogs to destroy.
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Reviewed in the United States on March 10, 2026
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Robert A.
Massapequa, US
★★★★★ 5
Small Pug Enjoyment For All!
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We got this toy to replace an earlier purchase for a rope/squeak toy after finding he loved a holiday purchase by an Aunt which squeaked but was not really meant for tugging/heavy playing like he wanted too, for our half pug/schnauzer Mr. Pug. Compared to the first toy and the attempted replacement he ADORES this toy! As you can see in the above picture he has truly laid his claim to it! About the product in general though, we found it surprisingly sturdy all around, even with heavy tugging and aggressive play. The interior padding is durable it seems, and holes where the rope come out have a heavy duty padding for the target dog audience like ours in preventing him from chewing or tearing it up. The crinkly ears were also an enjoyable surprise for him, and the squeaker can move around the torso area of the toy keeping him actively looking for it when he desires it. All in all we would certainly get another toy like this in the future.
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Reviewed in the United States on January 25, 2025

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