Introduction

This online textbook is intended for, but not limited to, high school students without a rigorous understanding and knowledge of university-level mathematics. Therefore, the text's language reflects the expected mathematical maturity of the intended audience.

This book introduces several interesting topics not covered in the standard high school curriculum of most countries.

The materials presented can be challenging, but at the same time, we strive to make this book readable to all who are a few years from applying to higher education.

From the authors

It is our firm belief that math textbooks should not just be a collection of mathematical facts carefully laid out for rote memorization and cram sessions. A math textbook, especially for the youth, should be full of questions, not just exercises. These questions require some thought to answer and spark curiosity. After all, the questions keep the students engaged, not the answers.

"In mathematics the art of proposing a question must be held of higher value than solving it."

- Georg Cantor

We sincerely hope to interest, stimulate, and challenge all those who read this book.

Topics

Authors & Contributors

A number of persons not listed below have also made important contributions to this book. Contributors are encouraged to edit and include themselves in this list.