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Introduction to Lebesgue Integration and Fourier Series
Paperback
Series: Dover Books on Mathematics
Publisher Price: $15.95
ISBN13: 9780486682938
Publisher: Dover Publications
Published: Jan 4 1995
Pages: 192
Weight: 0.60
Height: 0.41 Width: 6.19 Depth: 9.22
Language: English
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.
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.
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