Brook Taylor’s Life — “The true and best way of learning any Art, is not to see a great many Examples done by another Person, but to possess ones seIf first of the Principles of it, and then to make them familiar, by exercising ones self in the Practice. Far it is Practice alone…

The Heisenberg Uncertainty Principle — “Not only is the Universe stranger than we think, it is stranger than we can think.” ― Werner Heisenberg Heisenberg obtained his Ph.D. in 1923 at the University of Munich. While other physicists tried to develop physical models of quantum phenomena, Heisenberg developed an abstract mathematical model called matrix mechanics…

Maxwell’s demon — “Thoroughly conscious ignorance is the prelude to every real advance in science.” ― James Clerk Maxwell Consider, for instance, tossing a handful of differently colored marbles into a large, empty room. Eventually, those marbles will spread out and be distributed randomly across the room. Scientists quantify this natural tendency to…

Einstein has an IQ of around 160 — “Just because we can’t find a solution it doesn’t mean that there isn’t one.” ―Andrew Wiles 1. Andrew Wiles (IQ 170) Andrew Wiles, a distinguished British mathematician, is acclaimed for his exceptional contributions to the field of mathematics. Born in 1953, Wiles is renowned for solving Fermat’s Last Theorem, a famous…

The invention of shapes, angles, and areas — “I think the universe is pure geometry — basically, a beautiful shape twisting around and dancing over space-time.” — Antony Garrett Lisi The word “geometry” comes from Greek words. “Geo” means “earth” and “metron” means “measurement.” At first, geometry was all about understanding how things fit together in space.

Photoelectric effect — Einstein didn’t win a Nobel Prize for his theory of relativity due to its complexity, limited experimental confirmation at the time. The Nobel Prizes tend to favor work with clear experimental support. …

Change in the value of Pi by changing how we measure the distance — We will learn how to change the value of Pi by changing how we measure distance. Before we learn how to change the value of Pi, let’s review the standard value, and why you’ve been told your whole life that Pi is 3.14. First, Pi is defined to be the…

The invention of integers and Prime numbers. — Number theory is a branch of pure mathematics, in which we study integers and arithmetic functions. Carl Friedrich Gauss called it the “queen of mathematics.” Number theorists explore prime numbers and mathematical objects related to integers, such as rational and algebraic integers.

A Mathematical Journey into the Work of John Napier — There is a difference between the way we define logarithms today and the way they were defined when they were first invented. Today we say that logarithms are inverse functions of exponentials. For example, 81 is equal to 9 to the power of 2 is the same as a log…