- students wishing to begin learning advanced mathematics, but that are not quite ready to start writing proofs.
- high school teachers that want to expose their students to the ideas of advanced mathematics without getting into mathematical rigor.
- professors that wish to introduce higher mathematics to non-stem majors.
- 8 lessons in 8 subject areas.
- Examples and exercises throughout each lesson.
- A problem set after each lesson arranged by difficulty level.
- A complete solution guide is included as a downloadable PDF file.
Introduction
Lesson 1 - Logic
Lesson 2 - Set Theory
Lesson 3 - Abstract Algebra
Lesson 4 - Number Theory
Lesson 5 - Real Analysis
Lesson 6 - Topology
Lesson 7 - Complex Analysis
Lesson 8 - Linear Algebra