Functional Analysis in Applied Mathematics and Engineering
作/譯者
版次
1 版
年份
2000
ISBN
9780849371691
出版商
產品分類
產品型式
精裝
頁數
298 ⾴
定價
1,100元
Functional Analysis in Applied Mathematics and Engineering concentrates on material that will be useful to control engineers from the disciplines of electrical, mechanical, and aerospace engineering. This text/reference discusses rudimentary topology, Banach's fixed point theorem with applications, L-spaces, density theorems for testfunctions, infinite dimensional spaces, bounded linear operators, Hilbert spaces, Fourier series, open mapping and closed graph theorems, compact operators, Hilbert-Schmidt operators, Volterra equations, Sobolev spaces, Hilbert Uniqueness Method, and boundary element methods.V
Ch1. Topological and Metric Spaces
Ch2. Banach Spaces
Ch3. Bounded Operators
Ch4. Hilbert Spaces.
Ch5. Operators on Hilbert Spaces
Ch6. Spectral Theory
Ch7. Integral Operators
Ch8. Semigroups of Evolution
Ch9. Sobolev Spaces
Ch10. Interpolation Spaces
Ch11. Linear Elliptic Operators
Ch12. Regularity of Hyperbolic Mixed Problems
Ch13. The Hilbert Uniqueness Method