Real Analysis (3rd Edition)

Author: Royden
Publisher:
Publish Date: 2006-01-01
Features: This book is an excellent textbook for a course in real analysis. The first edition was published in 1963, and the third edition has been rewritten and supplemented based on the previous two editions, with an additional chapter on invariant measures. Over the past 40 years, this book has been adopted by many renowned universities abroad (such as Stanford University, Harvard University, etc.). The book is divided into three parts: Part I is on Real-Valued Functions of a Real Variable, Part II is on Abstract Spaces, and Part III is on General Measure and Integration Theory. It not only contains mathematical theorems and definitions but also proposes thought-provoking problems to help readers gain a deeper understanding of the material. The subject matter of this book is a common foundation for mathematical teaching and includes the research findings of many mathematicians. The book is divided into three parts: Part I is on Real-Valued Functions of a Real Variable, Part II is on Abstract Spaces, and Part III is on General Measure and Integration Theory. It not only contains mathematical theorems and definitions but also proposes thought-provoking problems to help readers gain a deeper understanding of the material.