Lectures on Functional Analysis and Applications (Original)
版次
1 版
年份
1999
ISBN
9789810237233
產品分類
產品型式
平裝
頁數
730 ⾴
定價
1,120元
This book is intended for those having only a moderate background in mathematics, who need to increase their mathematical knowledge for development in their areas of work and to read the related mathematical literature. The material covered, which includes practically all the information on functional analysis that may be necessary for those working in various areas of applications of mathematics, as well as the simplicity of presentation, differentiates this book from others. About 300 examples and more than 500 problems are provided to help readers understand and master the theories presented. The list of references enables readers to explore those topics in which they are interested, and gather further information about applications used as examples in the book.
PART I SETS, SPACES, FUNCTIONS
Ch1. Functions and Mappings
Ch2. Metric Spaces
Ch3. Linear Spaces
Ch4. Linear Functions and Functionals
Ch5. Measure Theory
Ch6. Integrals
Ch7. Topological Spaces
Ch8. Spaces of Operators and Functionals
Ch9. Linear Operators
Ch10. Linear Operators in Hilbert Spaces
Ch11. Spectral Theory of Linear Operators
Ch12. Nonlinear Problems of Functional Analysis
Ch13. Elements of Approximate Methods in Abstract Spaces