Mathematical Analysis (4th Edition) is a national planning textbook for general higher education in the 11th Five-Year Plan. The content includes real number set and function, sequence limit, function limit, function continuity, derivative and differential, differential mean value theorem and its application, completeness of real number, indefinite integral, definite integral, application of definite integral, improper integral, etc. The appendix is a brief history of calculus, real number theory and integral table.
This revision has carefully summarized the experience of compiling the first three editions, especially analyzed the contents of the third edition in detail, listened to the opinions of some using schools, and made appropriate adjustments to some contents of the third edition; Some changes have been made in the order in which the basic theorems of real number theory appear.
The concept of inner closed uniform convergence is added, and the related contents are adjusted. Appropriately add some examples with high technical requirements to facilitate students' study. The fourth edition still maintains the characteristics of the first three editions of textbooks, that is, "the content selection is appropriate, easy to understand, easy to learn and easy to teach".
Mathematical Analysis (4th Edition) can be used as a teaching material for teaching majors in colleges and universities.