Measure Theory Summary

Author: Ding Wanding
Publisher:
Publish Date: 2005-10-01
Features: This book reconstructs the structure of measure theory, selects the content of measure theory, and elaborates on the classic results of measure theory in a concise manner. It introduces measure theory from a methodological perspective. The main content includes: the monotone class theorem, the measure extension theorem, the integral convergence theorem, Fubini's theorem, the Radon-Nikodym theorem, and Prohorov's theorem, among others. This book can be used as a graduate textbook for probability, statistics, and other mathematics majors, as well as a reference book for mathematicians.