math

Published on Sep 03, 2019

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PRESENTATION OUTLINE

History of Math

10/29/2019 Dan Blackmore ED 327
Photo by cowicide

Since ancient times, humans have used math in some capacity.

Photo by Abby Anaday

The first recorded symbols used to represent different numbers were found in Egypt, dated around 2700 BC

systems of addition, subtraction, multiplication, and division were developed independently in many places around the world between 1600 BC and 600 BC

Places including:

  • India
  • China
  • Egypt
  • Babylon
  • Maya

Early Greek Math

around 600 BCE

The first principles of abstract geometry were recorded by Thales of Greece

Photo by Ivan Bertona

Greek Math

  • This was the first instance of mathematical thinking being based on proof.
  • a summation of Greek geometry was later recorded by Euclid of Greece, the oldest comprehensive math textbook
  • Connection of philosophy and math
https://mathcs.clarku.edu/~djoyce/java/elements/toc.html
Euclid's Elements can be found here.

All of greek geometry was done with the help of a compass and straight edge, creating a vast array of shapes and angles using only these two tools.

India

400 CE - 1600
Photo by Trey Ratcliff

Indian Math

  • early decimal system
  • concept of infinity
  • invention of algebra
  • used trigonometry
  • work with polynomial functions
Earlier still, many mathematical concepts were discovered in India, including using numbers as large as 10^421, and they described a size that is very close to the size of an atom.

There exists an early text known as Sulba Sutras, where the pythagorean theorem was demonstrated long before Pythagoras's birth.

The Indians were the first to use a circle character to represent the concept of zero as an actual number, rather than just "nothing".

Islamic Golden Age

800 CE - 1258
Photo by sofiagk

Islamic Math

  • Used Greek math as a starting point
  • Al-Kwarizmi
  • Nasir Al-Din Al-Tusi
  • linking of algebra and geometry
  • development of physics
Al-Kwarizmi was the director of the "house of wisdom" around 800. He strongly advocated for the base 10 number system we use today. He also made huge steps in the field of algebra, inventing many of the processes we use today.

Al-Din Al-Tusi was an astronomer, who used trigonometry as a field of math separate from astronomy for the first time, and made breakthroughs in this field.

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