Real Analysis (English Edition) (Third Edition)

Author: H.L. Royden
Publisher:
Publication Date: 2004-03-01
Features: This book is an excellent textbook, primarily divided into three parts: Part I is on Real Analysis, 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 challenging problems to help readers gain a deeper understanding of the content. The subject matter of this book is a common foundation in mathematical education, incorporating the research findings of many mathematicians. It serves as a foundational textbook for graduate students in mathematics and statistics, with the first edition published in 1963. The revised third edition, published in 1987, was rewritten and supplemented based on the previous two editions, adding a chapter on variable measures. Over the past 40 years, this book has been adopted by numerous renowned universities abroad (such as Stanford University, Harvard University, etc.). This book is an excellent textbook, primarily divided into three parts: Part I is on Real Analysis, 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 challenging problems to help readers gain a deeper understanding of the content. The subject matter of this book is a common foundation in mathematical education, incorporating the research findings of many mathematicians.