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COURSE OVERVIEW

Adv Math Topics 1 NOTE: this Course is the prerequisite for Adv Math Topics 2

History of Numbers

Just like languages, numbers have a history. But if anything is taught in our schools about this rich history, it typically begins with White western philosophers from ancient Greece, and ignores roots that plunge deeper into time, and spread across a broad range of cultures. The History of Numbers goes all the way back to prehistoric times, explores these ancient multicultural roots, and brings us up to our modern Hindu-Arabic number system. Along the way we learn about the uses and properties of numbers. It starts with the original use of numerals: to count. But then moves on to the development of positional number systems, different bases besides our own base 10, the concepts of zero and infinity, irrational numbers such as pi and the golden ratio, and the counterintuitive negative and imaginary numbers.

History of Numbers is organized around these four modules:

1. Historical Counting Systems
2. Positional Systems and Numbers in Different Bases
3. Zero and Irrational Numbers
4. Negative Numbers and Imaginary Numbers