Function of Real Variable

Course No.: SMH1131137    Credit(s): 3

Course Description

The course is one of the important professional basic courses of university mathematics and is the continuation and development of mathematical analysis. It mainly introduces the Lebesgue measure and Lebesgue integral theory, plays an important role in further studying in modern mathematics theory and understanding of the mathematical analysis and other related courses.

Course Learning Outcomes

After studying the course, students will master the basic concept, basic theory and derivation process of this course, grasp the basic thought of modern abstract analysis, master the Lebesgue measure and Lebesgue integral theory, cultivate students' thinking ability and logical reasoning ability, provide a foundation for further study of modern mathematical mathematics theory.

Relationship to Other Courses

The prerequisite for this course is Mathematical Analysis and Complex Function.

Textbook and Reading Lists

Textbook:

Qixiang Cheng, Dianzhou Zhang, The Basis of Real Variable Function and Functional Analysis (2nd edition). Beijing: Higher Education Press, 2003.

Suggested reading lists:

Minqing Zhou, Theory of functions of a real variable. Beijing: Peking University Press, 2001.

Zejian Jiang Zhiquan Wu, Theory of functions of a real variable. Beijing: People Education Press, 1961.

Weixing Zheng, Shengwang Wang, A summary of real variable functions and functional analysis. Beijing: Higher Education Press, 2012.

Course Assessment

Course Schedule