Real variable function

Author: He Si et al
Publisher:
Publish Date: 2006-06-02
Features: This textbook is written for university mathematics and applied mathematics majors. It primarily covers topics such as sets and their cardinality, point sets in Euclidean spaces, the measure of point sets, measurable functions, Lebesgue integration and its properties, the three major theorems of integral limits, the Fubini theorem for converting double integrals into iterated integrals, and the Lebesgue differentiation theorem. Each chapter includes a certain number of thought-provoking questions and exercises, making it suitable for teaching purposes. This book is suitable for students of mathematics and related disciplines at universities and can also be referenced by relevant researchers and scientific workers.