Functional Analysis (Second Edition) (Second Edition)

Author: Rudin
Publisher:
Publish Date: 2004-08-01
Features: The original English version of this book is an internationally renowned textbook with distinctive selections and treatment methods of materials. It provides accurate descriptions of certain axioms and vividly discusses some in-depth topics. It also introduces valuable applications in other branches of mathematics. As the author himself put it, he does not expect to write an encyclopedia but rather to open a path for further exploration. The book is well-explained, rigorously argued, and many of its annotations are insightful and inspiring, making it suitable as a textbook and reference for senior undergraduate and graduate students in mathematics. This book is a classic textbook in functional analysis. As one of Rudin's classic works in analysis, it inherits the characteristics of concise content and clear structure. The new content added in the second edition includes the Kakutani fixed-point theorem, the Lamonosov invariant subspace theorem, and the ergodic theorem, among others. Additionally, some examples and exercises have been appropriately added. This book is available for reference use by senior undergraduate and graduate students in higher education institutions, as well as teachers.