Functional Analysis Lectures (Volume 1)

Author: Zhang Gongqing
Publisher:
Publish Date: 2004-06-01
Features: This is a textbook on functional analysis. It systematically introduces the fundamental knowledge of linear functional analysis. The book is divided into four chapters: Metric Spaces; Linear Operators and Linear Functionals; Generalized Functions and Sobolev Spaces; and Compact Operators and Fredholm Operators. The main feature of this book is its emphasis on analyzing the origins and backgrounds of several basic concepts and important theories, emphasizing the development of readers' ability to solve problems using functional methods, and paying attention to introducing the connections between functional analysis theory and other branches of mathematics. The book contains numerous examples and applications, which are very helpful for mastering the fundamental theories. This book is suitable for undergraduate and graduate students in science and engineering, and can also be referred to by general mathematicians, physicists, and engineering technicians. To facilitate readers' learning, this reprinted edition has added supplementary hints for exercises and an index at the end of the book for reference.