Measure, Integration and Real Analysis (Sheldon Axler)

 
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Measure, Integration and Real Analysis (Sheldon Axler)

The fundamental theory of measure, integration and real analysis are introduced to students in this textbook. By emphasizing an approach that is simple to understand, it paves the way for future research by encouraging a thorough comprehension of the main findings.

A varied starting point for graduate studies in all branches of pure and applied mathematics is made possible by the careful curation of content to fit a single course or a two-semester sequence of courses.

The text begins by immersing students in the ideas of measure and integration, which is motivated by a brief examination of Riemann integration and its shortcomings. Together, the Lebesgue measure and abstract measures are created, with each offering significant new information about the fundamental principles of the other method. Results like the Lebesgue Differentiation Theorem are related to Lebesgue integration. Lebesgue measure on Rn results from the development of products of abstract measures.

This book is a great resource for students beginning their path into graduate mathematics because it has been thoroughly class-tested at several universities and was produced by an award-winning mathematical expositor. Real analysis for beginners at the undergraduate level is a prerequisite;

Ebook Details

Author(s)
About the Authors
The professor of mathematics at San Francisco State University is Sheldon Axler. At Michigan State University and MIT, he has received teaching honors. Among his professional accomplishments is receiving the Lester R. Ford Award for expository writing from the Mathematical Association of America.
Publisher
Published
Published Date / Year
1st ed. (2019); eBook (Open Access/Creative Commons Edition, 2022)
License(s)
CC BY 4.0
Hardcover
429 pages
eBook Format
PDF (430 pages)
Language
English
ISBN-10
3030331423
ISBN-13
978-3030331429

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