Lebesgue Integration

Nonfiction, Science & Nature, Mathematics, Calculus
Cover of the book Lebesgue Integration by J.H. Williamson, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: J.H. Williamson ISBN: 9780486796734
Publisher: Dover Publications Publication: July 28, 2014
Imprint: Dover Publications Language: English
Author: J.H. Williamson
ISBN: 9780486796734
Publisher: Dover Publications
Publication: July 28, 2014
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book The Bridges of New York by J.H. Williamson
Cover of the book Decorative Plant and Flower Studies for Artists and Craftsmen by J.H. Williamson
Cover of the book Treasury of Flower Designs for Artists, Embroiderers and Craftsmen by J.H. Williamson
Cover of the book Unbeaten Tracks in Japan by J.H. Williamson
Cover of the book Beginner's Book of Modular Origami Polyhedra by J.H. Williamson
Cover of the book Art in the Alphabet by J.H. Williamson
Cover of the book Doré's Angels by J.H. Williamson
Cover of the book The Principle of Relativity by J.H. Williamson
Cover of the book Sequential Analysis by J.H. Williamson
Cover of the book Easy-to-Do Beadwork by J.H. Williamson
Cover of the book Human Anatomy in Full Color by J.H. Williamson
Cover of the book Gesta Romanorum by J.H. Williamson
Cover of the book Applications of Group Theory in Quantum Mechanics by J.H. Williamson
Cover of the book Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions by J.H. Williamson
Cover of the book Gunga Din and Other Favorite Poems by J.H. Williamson
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy