Finite-Dimensional Linear Algebra.
Some Problems Posed on Vector SpacesLinear equationsBest approximationDiagonalizationSummaryFields and Vector SpacesFields Vector spaces Subspaces Linear combinations and spanning sets Linear independence Basis and dimension Properties of bases Polynomial interpolation and the Lagrange basis Continu...
Clasificación: | Libro Electrónico |
---|---|
Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Hoboken :
CRC Press,
2010.
|
Colección: | Discrete mathematics and its applications.
|
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; About the author; 1. Some problems posed on vector spaces; 2. Fields and vector spaces; 3. Linear operators; 4. Determinants and eigenvalues; 5. The Jordan canonical form; 6. Orthogonality and best approximation; 7. The spectral theory of symmetric matrices; 8. The singular value decomposition; 9. Matrix factorizations and numerical linear algebra; 10. Analysis in vector spaces; A. The Euclidean algorithm; B. Permutations; C. Polynomials; D. Summary of analysis in R; Bibliography.