An Introduction to Lebesgue Integration and Fourier Series

Howard J. Wilcox, Ralph H Fox

ISBN 10: 0486682935 / ISBN 13: 9780486682938

Published by Dover Publications Inc 2003-03-28, 2003

About this Item

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Bibliographic Details

• Title: An Introduction to Lebesgue Integration and Fourier Series
• Publisher: Dover Publications Inc 2003-03-28
• Publication Date: 2003
• Language: English
• ISBN 10: 0486682935
• ISBN 13: 9780486682938
• Binding: Paperback
• Condition: New

About this title

Synopsis

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.