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.
By:
Feng-yu Wang (Tianjin Univ China & Swansea Univ Uk), Yong-hua Mao (Beijing Normal Univ, China) Imprint: World Scientific Publishing Co Pte Ltd Country of Publication: Singapore ISBN:9789811298851 ISBN 10: 9811298858 Pages: 208 Publication Date:25 November 2024 Audience:
College/higher education
,
Professional and scholarly
,
Primary
,
Undergraduate
Format:Hardback Publisher's Status: Active