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Although of unquestioned power and practical utility, the Lebesgue Theory of measure and integration tends to be avoided by mathematicians, due to the difficulty of obtaining detailed proofs of a few crucial theorems. In this concise and easy-to-read introduction, the author demonstrates that the day-to-day skills gleaned from Legesgue Theory far outweigh the effort needed to master it. This compact account develops the theory as it applies to abstract spaces, describes its importance to differential and integral calculus, and shows how the theory can be applied to geometry, harmonic analysis, and probability. Postgraduates in mathematics and science who need integration and measure theory as a working tool, as well as statisticians and other scientists, will find this practical work invaluable.
This text investigates the practical utility of Lebesgue Theory by simplifying the acquisition of its core theorems for working mathematicians and scientists. H. R. Pitt, an established mathematician, addresses the common avoidance of this theory due to its perceived complexity. By focusing on day-to-day application rather than exhaustive theoretical abstraction, the author provides a streamlined framework for utilizing measure and integration in professional research and analysis.
What You Will Find
Experts and postgraduates frequently cite this monograph as a highly accessible entry point for those requiring functional knowledge of measure theory without excessive academic overhead. The text is recognized for its concise prose and focus on utility, making it a standard reference for scientists and statisticians seeking to apply these mathematical tools to real-world problems.
Page Count:
156
Publication Date:
1985-01-01
Publisher:
Oxford University Press
ISBN-10:
0198536089
ISBN-13:
9780198536086
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