Lebesgue Integration (Athena S.) - Hardcover

Williamson, J. H.

Hardcover

ISBN 10: 0030113202 ISBN 13: 9780030113208

Publisher: Holt,Rinehart & Winston of Canada Ltd, 1962

Synopsis

Lebesgue Integration

About this title

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.
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About the Author:

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

About this edition

• Publisher: Holt,Rinehart & Winston of Canada Ltd
• Publication date: 1962
• ISBN 10: 0030113202
• ISBN 13: 9780030113208
• Binding: Hardcover
• Edition number: 1
• Number of pages: 117