Finite-dimensional linear algebra
This text provides a solid foundation for the study of advanced mathematics and covers many interesting applications of linear algebra, which show how linear algebra is essential in such diverse areas as combinatorics, differential equations, optimization, and approximation.
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| Hlavní autor: | |
|---|---|
| Médium: | E-kniha Kniha |
| Jazyk: | angličtina |
| Vydáno: |
Boca Raton, Fla
CRC Press
2010
Taylor & Francis Group |
| Vydání: | 1 |
| Edice: | Discrete Mathematics and Its Applications |
| Témata: | |
| ISBN: | 9781439815632, 1439815631 |
| On-line přístup: | Získat plný text |
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Obsah:
- Intro -- Contents -- 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