Pure Mathematics for Pre-Beginners

Pure Mathematics for Pre-Beginners consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra. The 8 lessons in this book cover elementary material from each of these 8 topics. A “pre-beginner" is a math student that is ready to start learning some more advanced mathematics, but is not quite ready to dive into proofwriting. Pure Mathematics for Pre-Beginners is perfect for

• 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.

The material in this pure math book includes:

• 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.

Pure Math Pre-Beginner Book Table Of Contents (Selected) Here's a selection from the table of contents:
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