Foundation of Probability Theory

Foundation of Probability Theory

Foundation of Probability Theory

Author: Yong-Hua Mao Feng-Yu Wang (Author)

Publisher finelybook 出版社:‏ World Scientific Publishing Co Pte Ltd

Edition 版本:‏ N/A

Publication Date 出版日期:‏ 2024-11-29

Language 语言: English

Print Length 页数: 208 pages

ISBN-10: 9811298858

ISBN-13: 9789811298851

Book Description

This textbook presents measure theory in a concise yet clear manner, providing readers with a solid foundation in the mathematical axiomatic system of probability theory. Unlike elementary probability theory, which deals with random events through specific examples of random trials, Foundations of Probability Theory offers a comprehensive mathematical framework for rigorous descriptions of these events.

As a result, this course embodies all the characteristics of mathematical theories: abstract content, extensive applications, complete structures, and clear conclusions. Due to the abstract nature of the material, learners may encounter various challenges. To overcome these difficulties, it is essential to keep concrete examples in mind when trying to understand abstract concepts and to compare the abstract theory with related courses previously studied, particularly the Lebesgue measure theory.

To enhance the readability of the book, each section begins with a brief introduction outlining the main objectives based on the preceding content, highlighting the primary structure, and explaining the key ideas of the study. This approach ensures that readers can follow the material more easily and grasp the essential concepts effectively.

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