Shankar, Principles of Quantum Mechanics, 2nd Edition
Chapter 1. Mathematical Introduction
Section 1. 1. Linear Vector Spaces: Basis
Section 1. 2. Inner Product Spaces
Section 1. 3. Dual Spaces and the Dirac Notation
Section 1. 4. Subspaces
Section 1. 5. Linear Operators
Section 1. 6. Matrix Elements of Linear Operators
Section 1. 7. Active and Passive Transformations
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