This classic is an ideal introduction for students into the methodology and thinking of higher mathematics. It covers material not usually taught in the more technically-oriented introductory classes and will give students a well-rounded foundation for future studies.
1. Sets
2. Logic
3. The Set-Theoretic Machinery
4. Mathematical Configurations
5. Equivalence
6. Order
7. Mathematical Induction
8. Fields
9. The Construction of the Real Numbers
10. Complex Numbers
11. Counting and the Size of Sets
12. Limits
13. Sums and Products
14. The Topology of Metric Spaces
15. Introduction to Analytic Functions
Gleason\, Andrew
