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...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
New Jersey :
World Scientific,
2014.
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| Subjects: | |
| Online Access: | CONNECT |
MARC
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| 100 | 1 | |a Schäffer, Juan Jorge. | |
| 245 | 1 | 0 | |a Linear algebra / |c by Juan Jorge Schäffer (Carnegie Mellon University, USA). |
| 264 | 1 | |a New Jersey : |b World Scientific, |c 2014. | |
| 300 | |a 1 online resource | ||
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| 500 | |a Includes indexes. | ||
| 504 | |a Includes bibliographical references and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 520 | |a 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. Contents: Linear Spaces and Linear Mappings; Properties of Linear Mappings; Linear Products and Coproducts; Families in Linea. | ||
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| 650 | 0 | |a Algebras, Linear. | |
| 650 | 0 | |a Algebra. | |
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