Okay, here is the translation following your instructions: Probability Theory Basics

Author: Yan Shijian
Publisher:
Publish Date: 1990-08-16
Features: This book discusses the fundamental concepts of probability theory, such as probability, random variables and distribution functions, mathematical expectation and conditional mathematical expectation, and the central limit theorem, from the perspective of measure theory. The book combines the basic content of measure theory with the basic content of probability theory, presenting rigorous and clear arguments, making it suitable for self-study. Readers who have taken introductory courses in probability theory can read this book. Exercises are provided after each section to deepen understanding of the material. The target audience includes senior undergraduate and graduate students, teachers, and scientific workers in mathematics departments.