Real Analysis and Functional Analysis: Theorems, Methods, and Problems

Author: Hu Shigeng / Liu Jinshan (editors)
Publisher:
Publish Date: 2003-05-01
Features: This book is a learning guide companion to Professor Hu Shigeng's edited works "Real Analysis" and "Functional Analysis." It integrates ideas, methods, and problems, offering guidance to beginners from a perspective different from the textbook. Its focus lies in explaining typical methods through specific problems, striving to present some methods often considered difficult by students in a natural and concise manner, thereby helping readers understand the main textbook content and solve problems. The book collects a total of 600 core problems and solutions in this discipline, providing a space for thinking and practice from both teaching and learning perspectives. The book consists of five chapters, covering topics such as: Set Theory and Measure, Integration, Banach Spaces, Linear Operators and Linear Functionals, Spectral Theory and Compact Linear Operators.