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Introduction to Pure Mathematics for Advanced High School Students consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra.
These first 8 lessons cover basic material from each of these 8 topics. In addition, you will learn all the proofwriting skills that are essential for advanced study in mathematics.
Sixteen PDF files are included with your purchase. Eight of these PDF files consist of notes and problem sets. The other eight PDF files consist of solutions to all the problems.
This series is intended to give high school students who are advanced in math an honest and rigorous introduction to pure mathematics. It is unfortunate that most students will not be exposed to real theoretical mathematics until their sophomore year of college and after they have already declared themselves math majors. My hope is that students wishing to explore real theoretical mathematics before committing to becoming a math major will now have the opportunity to do so. And of course I hope that they enjoy experiencing pure mathematics as much as I enjoy writing about it.