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Linear algebra /
In the spirit of the author's Basic Language of Mathematics, this companion volume is a careful exposition of the concepts and processes of Linear Algebra. It stresses cautious and clear explanations, avoiding reliance on co-ordinates as much as possible, and with special, but not exclusive, at...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New Jersey :
World Scientific,
2014.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- PREFACE; CONTENTS; Chapter 1. LINEAR SPACES AND LINEAR MAPPINGS; 11. Linear spaces; 12. Linear mappings; 13. Subspaces; 14. Linear partitions; 15. Supplements; Chapter 2. PROPERTIES OF LINEAR MAPPINGS; 21. Linear invertibility; 22. Cancellability and factorization; Chapter 3. LINEAR PRODUCTS AND COPRODUCTS; 31. Linear products; 32. Linear coproducts; 33. Decompositions; Chapter 4. FAMILIES IN LINEAR SPACES; 41. Linear combination; 42. Linear independence; 43. Linear independence, spanning, bases; Chapter 5. FINITE DIMENSION; 51. Matrices; 52. Finite-dimensional spaces.
- 53. Finite dimension and linear mappings54. Finite- and infinite-dimensional spaces; Chapter 6. DUALITY; 61. Dual spaces and transposes; 62. Annihilators; 63. Higher-order dual spaces and transposes; 64. Biorthogonal families; Chapter 7. DUALITY AND FINITE DIMENSION; 71. Duality for finite-dimensional spaces; 72. Dual bases and matrices; 73. The trace form; 74. The canonical identifications; INDEXES; Index of terms; Index of symbols.