Lebesgue Integration (Dover Books on Mathema 1.4tics) - Softcover

Williamson, J.H.

Softcover

ISBN 10: 0486789772 ISBN 13: 9780486789774

Publisher: Dover Publications Inc., 2014

Synopsis

This concise introduction to Lebesgue integration is geared toward advanced undergraduate math majors and may be read by any student possessing some familiarity with real variable theory and elementary calculus. The self-contained treatment features exercises at the end of each chapter that range from simple to difficult.
The approach begins with sets and functions and advances to Lebesgue measure, including considerations of measurable sets, sets of measure zero, and Borel sets and nonmeasurable sets. A two-part exploration of the integral covers measurable functions, convergence theorems, convergence in mean, Fourier theory, and other topics. A chapter on calculus examines change of variables, differentiation of integrals, and integration of derivatives and by parts. The text concludes with a consideration of more general measures, including absolute continuity and convolution products.

About this title

About the Author

J. H. Williamson was Professor of Mathematics at England's University of Cambridge.

From the Back Cover

This concise introduction to Lebesgue integration is geared toward advanced undergraduate math majors and may be read by any student possessing some familiarity with real variable theory and elementary calculus. The self-contained treatment features exercises at the end of each chapter that range from simple to difficult.
The approach begins with sets and functions and advances to Lebesgue measure, including considerations of measurable sets, sets of measure zero, and Borel sets and nonmeasurable sets. A two-part exploration of the integral covers measurable functions, convergence theorems, convergence in mean, Fourier theory, and other topics. A chapter on calculus examines change of variables, differentiation of integrals, and integration of derivatives and by parts. The text concludes with a consideration of more general measures, including absolute continuity and convolution products.
Dover (2014) republication of the edition originally published by Holt, Rinehart & Winston, New York, 1962.
See every Dover book in print at
www.doverpublications.com

Edition details

• Publisher: Dover Publications Inc.
• Publication date: 2014
• Language: English
• ISBN 10: 0486789772
• ISBN 13: 9780486789774
• Binding: Paperback
• Number of pages: 128