# 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