An Informal Introduction To Stochastic Calculus... 🎯

One student, Sarah, frowned. "So how do we track it if the math breaks?"

He pointed to a single fleck of gold dancing violently atop the ripples. "That is a . It’s being buffeted by a billion microscopic collisions every second. It’s not moving along a smooth curve; it’s jittering. If you try to take a standard derivative of that path, you’ll fail. The path is continuous, but it’s nowhere differentiable. It’s too 'spiky' for Newton." An Informal Introduction to Stochastic Calculus...

He turned back to the group, his eyes bright. "Now, let’s go inside and see why dt2d t squared equals zero, but dW2d cap W squared . That’s where the magic starts." One student, Sarah, frowned