Apply the principles of functional analysis

Author: Li Guangmin
Publisher:
Publish Date: 2003-08-01
Features: This book is based on the teaching content of the "Applied Functional Analysis" course that the author has been teaching for nearly 10 years for graduate students in engineering. Its main contents include: fundamentals of real analysis, metric spaces, normed linear spaces and inner product spaces, linear functionals and linear operators, fixed-point theorems and best approximations, an introduction to the spectral theory of linear operators, and calculus in abstract spaces, etc. In terms of presentation, it strives to be as popular and intuitive as possible, providing numerous examples for many abstract concepts and theorems. The exercises are of moderate difficulty and come with solutions or hints. This book is suitable for use as a textbook or teaching reference for graduate students in engineering and undergraduate students in mathematics.