Measure and integration for use


Measure and integration for use

H.R. Pitt

(IMA monograph series, 1)

Clarendon Press , Oxford University Press, 1985

大学図書館所蔵 件 / 24



Includes index



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.

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