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.
Product Identifiers
Publisher
Dover Publications Inc.
ISBN-13
9780486789774
eBay Product ID (ePID)
207677249
Product Key Features
Author
J.H. Williamson
Publication Name
Lebesgue Integration
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2014
Type
Textbook
Number of Pages
128 Pages
Dimensions
Item Height
229mm
Item Width
152mm
Additional Product Features
Title_Author
J.H. Williamson
Series Title
Dover Books on Mathematics
Country/Region of Manufacture
United States
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