In this video, we explain vectors and derivatives as essential math methods used in physics, showing how they describe motion, direction, and change. Clear explanations and examples help connect ...

THIS “Introduction to Vector-methods and their Various Applications to Physics and Mathematics” is an exposition of the late Willard Gibbs' vector analysis. The author in his preface warns us that “no ...

More than a century before quantum mechanics was born, Irish mathematician William Rowan Hamilton stumbled onto an idea that would quietly foreshadow one of the deepest truths in physics. While ...

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...