### My favorite Calculus textbooks

- Principles of Mathematical Analysis, by Walter Rudin, Solution Manual
- Mathematical Analysis, Second Edition, by Tom M. Apostol, Solution Manual
- Understanding Analysis, Second Edition, by Stephen Abbott

### Other good textbooks

- Calculus, 4th edition, by Michael Spivak, Solution Manual
- Analysis I: Third Edition, by Terence Tao
- Analysis II: Third Edition, by Terence Tao
- Mathematical Analysis I, by V. A. Zorich
- Mathematical Analysis II, by V. A. Zorich

### Chapter 1 The Real Numbers

- 1.2 Some Preliminaries

### Chapter 2 Sequences and Series

- 2.2 The Limit of a Sequence
- 2.3 The Algebraic and Order Limit Theorems
- 2.4 The Monotone Convergence Theorem and a First Look at Infinite Series
- 2.5 Subsequences and the Bolzano-Weierstrass Theorem
- 2.6 The Cauchy Criterion
- 2.7 Properties of Infinite Series
- 2.8 Double Summation and Products of Infinite Series

### Chapter 3 Basic Topology of R

- 3.2 Open and Closed Sets