Linear Algebra 1st edition by Juan Jorge Schaffer – Ebook PDF Instant Download/Delivery: 9814623490, 978-9814623490
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Product details:
ISBN 10: 9814623490
ISBN 13: 978-9814623490
Author: Juan Jorge Schaffer
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, attention to the finite-dimensional situation. It is intended to also serve as a conceptual and technical background for use in geometry and analysis as well as other applications.
Linear Algebra 1st Table of 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 mappings
54. 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
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