# Measure Theory

## measure theory

[′mezh·ər ‚thē·ə·rē] (mathematics)

The study of measures and their applications, particularly the integration of mathematical functions.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

The following article is from

*The Great Soviet Encyclopedia*(1979). It might be outdated or ideologically biased.## Measure Theory

a branch of mathematics that studies the property of measures of sets. Measure theory developed on the basis of works by M. E. C. Jordan, E. Borel, and, particularly, H. Lebesgue at the end of the 19th century and the beginning of the 20th. In these works, the concepts of length, area, and volume were extended beyond the class of figures usually considered in geometry. As a consequence, measures in their most general meaning (completely additive set functions) became the subject of measure theory. The development of measure theory is closely related to the development of the theory of the integral.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.