The Oxford linear algebra for scientists /
"This book provides a introduction into linear algebra which covers the mathematical set-up as well as applications to science. After the introductory material on sets, functions, groups and fields, the basic features of vector spaces are developed, including linear independence, bases, dimensi...
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| Format: | eBook |
| Language: | English |
| Published: |
Oxford :
Oxford University Press,
[2022]
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| Series: | Oxford Academic.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- 1 Linearity
- an informal introduction
- 2 Sets and functions
- 3 Groups
- 4 Fields
- 5 Coordinate vectors
- 6 Vector spaces
- 7 Elementary vector space properties
- 8 Vector subspaces
- 9 The dot product
- 10 Vector and triple product
- 11 Lines and planes
- 12 Introduction to linear maps
- 13 Matrices
- 14 The structure of linear maps
- 15 Linear maps in terms of matrices
- 16 Computing with matrices
- 17 Linear systems
- 18 Determinants
- 19 Basics of eigenvalues
- 20 Diagonalizing linear maps
- 21 The Jordan normal form*
- 22 Scalar products
- 23 Adjoint and unitary maps
- 24 Diagonalization
- again
- 25 Bi-linear and sesqui-linear forms*
- 26 The dual vector space*
- 27 Tensors*