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 ...

Back in 1948, the journal Physical Review published a paper entitled “Space-Time Approach to Quantum Electrodynamics” by a young physicist named R.P. Feynman at Cornell University. The paper described ...

Visualize free body diagrams using vector math in Python to better understand forces and motion. This video shows how vectors represent forces, how they combine mathematically, and how Python helps ...

Math, specifically calculus, is a barrier to many natural sciences, technology and engineering fields. Physics, which is math-heavy, often proves similarly challenging to students who wish to pursue ...

Breakthroughs in physics sometimes require an assist from the field of mathematics—and vice versa. In 1912, Albert Einstein, then a 33-year-old theoretical physicist at the Eidgenössische Technische ...

In one of David Lodge's comic novels about academia, the English-professor characters play a game called "Humiliation," where they take turns admitting classic works of literature that they haven't ...

Imagine winding the hour hand of a clock back from 3 o’clock to noon. Mathematicians have long known how to describe this rotation as a simple multiplication: A number representing the initial ...

Understand unit vectors in cylindrical and spherical coordinate systems with a simple and intuitive explanation. This video breaks down how these vectors define direction in three-dimensional space ...