Real Analysis

Author: Cao Guangfu
Publisher:
Publish Date: 2000-05-01
Features: This book systematically introduces the fundamental knowledge of real analysis. The entire book is divided into five chapters: Set Theory, Measure Theory, Measurable Functions, Lebesgue Integration, and Abstract Measure and Integration. The first four chapters are mandatory content, and it takes approximately 60 hours to complete them. The fifth chapter is optional content, which can be taught in 12 to 16 hours. The book is written in fluent language with rigorous arguments, clearly explaining the background and significance of concepts and theorems. It introduces the connection between new and old knowledge, as well as the intrinsic links between real analysis and other mathematical branches. The book particularly emphasizes cultivating students' ability to ask questions and seek solutions through analyzing problems. It is suitable for the current teaching system and greatly helps beginners grasp the theory accurately. It is believed that readers can read the book with ease and accuracy, gaining valuable insights. This book can be used as a textbook for students in mathematics departments of comprehensive universities, normal universities, computational mathematics programs, and applied mathematics programs. It is also suitable for self-learners with a certain mathematical foundation.