ABSTRACT

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.

chapter 1|6 pages

Sets

chapter 2|22 pages

Logic

chapter 3|26 pages

The Set-Theoretic Machinery

chapter 4|10 pages

Mathematical Configurations

chapter 5|5 pages

Equivalence

chapter 6|14 pages

Order

chapter 7|10 pages

Mathematical Induction

chapter 8|18 pages

Fields

chapter 9|17 pages

The Construction of the Real Numbers

chapter 10|7 pages

Complex Numbers

chapter 11|24 pages

Counting and the Size of Sets

chapter 12|26 pages

Limits

chapter 13|37 pages

Sums and Products

chapter 14|64 pages

The Topology of Metric Spaces

chapter 15|53 pages

Introduction to Analytic Functions