Analysis

Introduction to Real Analysis

1. Abbott chapters 1-4
2. Carothers chapters 1, 3-4
3. Big Rudin chapters 2-5

Measure Theory

1. PMATH450
2. Big Rudin chapters 6-8

Functional Analysis Basics

1. Inf Desc chapters 1-5
2. Carothers chapters 10-12

Bibliography

• Abbott: Stephen Abbott; Understanding Analysis
• Carothers: N. L. Carothers; Real Analysis
• Big Rudin: Walter Rudin; Real and Complex Analysis
• PMATH450: Laurent W. Marcoux; An introduction to Lebesgue Measure and Fourier Analysis
• Inf Desc: Clive Newstead; An infinite descent into pure mathematics