Oxford Linear Algebra for Scientists

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: Diagonalising linear maps
21: The Jordan normal form
22: Scalar products
23: Adjoint and unitary maps
24: Diagonalisation - again
25: Bi-linear and sesqui-linear forms
26: The dual vector space
27: Tensors

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• Física Matemática
• Álgebra
• Mecânica clássica