Mathematical Methods
2 Linear vector spaces
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Notes
1
Introduction and Prerequisites
2
Linear vector spaces
3
Operators, Eigenvectors and Eigenvalues
4
Green functions
5
Variational calculus
A
Contour Integration
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Chapter 2
Linear vector spaces
2.1
Definition of a linear vector space
2.1.1
Problems
2.2
Linear independence and basis vectors
2.2.1
The scalar product
2.2.2
Questions
2.3
Function spaces
2.3.1
Continuous basis functions: Fourier Transforms
2.3.2
General orthogonality and completeness in function spaces
2.3.3
Example from Quantum Mechanics
2.4
Appendix
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