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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ThereseHazzard
Natrona Heights, US
★★★★★ 5
All around helpful---worth the money!
Format: Paperback
This guide has been most helpful for all the folks I help prepare for the iTEP test! It gives insight into what each section of the test is looking for along with examples and great tips about actually TAKING the test. In the Writing and Speaking sections, it also gives sample scores and comments from the Master Grader which is very helpful too.
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Reviewed in the United States on August 9, 2019
T
Thomas J. Shandorf
Houston, US
★★★★★ 5
Comprehensive, clear and coherent!
Format: Paperback
The iTEP Practice Guide combines a no-nonsense approach to the specific iTEP tests and at the same time offers exercises that task the student with what they need to know. Exercises not only serve the purpose of scoring well, but the overall approach is communicative competence. We use the text in our group and one-to-one classes with very positive--and lasting--results.
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Reviewed in the United States on July 23, 2019
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Verified Purchase
Sarah Sofía Ortiz Campos
Houston, US
★★★★★ 1
No recomiendo
Format: Paperback
Muy malo, no vine completo, además se demoró mucho más de lo que decía al momento de comprarlo. Solo aplazaban la fecha de entrega sin consultar cómo afectaba al cliente. Yo tuve que presentar el examen sin el libro, porque no llegó en la fecha que decía al comprarlo y después se cambió 3 veces la fecha, casi cumpliendo el mes.
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Reviewed in the United States on December 30, 2025
E
Verified Purchase
Elaine li
Pawtucket, US
★★★★★ 5
VERY EFFICIENT MATERIAL
Format: Paperback
It's the most efficient material to prepare the test.
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Reviewed in the United States on April 1, 2020
T
ThereseHazzard
Phoenix, US
★★★★★ 5
All around helpful---worth the money!
Format: Paperback
This guide has been most helpful for all the folks I help prepare for the iTEP test! It gives insight into what each section of the test is looking for along with examples and great tips about actually TAKING the test. In the Writing and Speaking sections, it also gives sample scores and comments from the Master Grader which is very helpful too.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on August 9, 2019

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