Do not worry about your difficulties in mathematics. I can assure mine are still greater. -Albert Einstein.
My favorite mathematician is Leonard Euler. He has made many contributions in mathematics from geometry to solving differential equations. He is also noted for many of the modern notations used in mathematics. For example, he gave the symbol from pi, the square root, and the imaginary unit i . Euler's most notable contribution is the discovery of number e and the natural exponential function ex, which is ubiquitious in any field of mathematics and science. Links to Euler's biography: Coming soon...
My favorite curve in mathematics is the cycloid . The cycloid is the curve traced by a point on a circle that rolls on a straingt line without slipping. Here's an animation to help you see how the cycloid is traced:
The cylcoid has many important properties. The parametric equation of the cycloid is:
Some properties of the cycloid:
The area under one arc of the of the cycloid is 3 times the area of the circle that traced the cycloid.
