Applied Functional Analysis: A Concise Tutorial

Author: Li Da Hua
Publisher:
Publish Date: 2003-05-01
Features: "A Concise Course on Applied Functional Analysis" This textbook is designed for graduate students in engineering and other non-mathematics disciplines, divided into seven chapters. The introduction covers prerequisite knowledge, briefly introducing sets, mappings, and inequalities. Chapter 1: Preliminary Knowledge of Lebesgue Integration, Chapter 2: Normed Linear Spaces, Chapter 3: Hilbert Spaces, Chapter 4: Linear Functionals and Dual Spaces, Chapter 5: Linear Operators and Spectra, Chapter 6: Generalized Functions and Sobolev Spaces, Chapter 7: Differentiation in Banach Spaces. The first five chapters are accompanied by a sufficient number of exercises, with answers and hints provided at the end of the book for self-study. The book is appropriately selected in content, emphasizing application; it is written in an accessible and easy-to-understand manner. In addition to serving as a textbook for graduate students in engineering, it can also be used as a reference for engineering technicians and other science and technology personnel. It is also a suitable reference book for senior undergraduate students in science and engineering.