Some References for Math 202 Fall 2018: Proving Things, Analysis

These are all classics — probably available in your local library. They are very different from each other.

• George Polya, How to Solve It, Princeton University Press (paperback)

• George Polya, Mathematics and Plausible Reasoning, Volume 1: Induction and Analogy in Mathematics  
  and   Volume 2: Patterns of Plausible Inference, Princeton University Press (paperback)

• Richard Courant & Herbert Robbins, What Is Mathematics?, Oxford University Press (paperback)

• A. D. Aleksandrov, A. N. Kolmogorov, M. A. Lavrent'ev [editors], Mathematics: Its Contents, Methods, and Meaning, Volumes 1-3, second edition, MIT Press (paperback).
  An enticing panorama of articles for students.