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Pure Mathematics for Pre-BeginnersPure 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