### The Pantheon of Derivatives - Part V

/
Important Theorems - biased, of course Implicit…

### Relativity Variables: Velocity, Doppler-Bondi k, and Rapidity

/
Traditional presentations of special relativity place emphasis…

### The Pantheon of Derivatives - Part IV

/
Lie Derivatives A Lie derivative is in general the…

### The Pantheon of Derivatives - Part III

/
Some Topology Whereas the terminology of vector…

### The Pantheon of Derivatives - Part II

/
Generalizations Beyond ##\mathbb{R}## and ##\mathbb{C}## As…

### The Pantheon of Derivatives - Part I

/
Differentiation in a Nutshell I want to gather the…

### Trick to Solving Integrals Involving Tangent and Secant

/
This little trick is used for some integration problems involving…

### Frames of Reference: Linear Acceleration View

/
My previous Insight, Frames of Reference: A Skateboarder's View,…

### Fabry-Perot and Michelson Interferometry: A Fundamental Approach

/
Fabry-Perot Effect: The Fabry-Perot effect is usually treated…

### Using the Fourier Series To Find Some Interesting Sums

/
Preliminaries If f(x) is periodic with period 2p and f’(x)…

### The Schwarzschild Geometry: Part 4

/
In the last article, we looked at various counterintuitive…

### The Schwarzschild Geometry: Part 2

/
At the end of part 1, we looked at the form the…

### The Schwarzschild Geometry: Part 1

/
Not long after Einstein published his Field Equation,…

### Partial Differentiation Without Tears

/
Differentiation is usually taught quite well. Perhaps that's…

### Solving the Cubic Equation for Dummies

/
Everybody learns the "quadratic formula" for solving equations…

### Explaining Rolling Motion

/
Although rolling wheels are everywhere, when most people are…

### Grandpa Chet's Entropy Recipe

/
How do you determine the change in entropy for a closed system…

### Orbital Precession in the Schwarzschild and Kerr Metrics

/
The Schwarzschild Metric A Lagrangian that can be used to describe…

### Precession in Special and General Relativity

/
The Absolute Derivative In relativity we typically deal with…

/
A spacetime is often described in terms of a tetrad field, that…

### Omissions in Mathematics Education: Gauge Integration

/
The current (pure) mathematics curriculum at the university is…

### Relativity on Rotated Graph Paper

/
This Insight is a follow up to my earlier tutorial Insight (Spacetime…

### General Brachistochrone Problem

/
Consider a problem about the curve of fastest descent in the…

### Some Misconceptions on Indefinite Integrals

/
Integration is an incredibly useful technique taught in all calculus…

### Basic Kinematics

/
There is an interesting thing in teaching of Classical Mechanics.…

### Spacetime Diagrams of Light Clocks

/
We demonstrate a method for constructing spacetime diagrams for…

### Rare Kinematic Formula

/
Here we present some useful kinematic fact which is uncommon…

### Elementary Construction of the Angular Velocity

/
Physics books  seldom contain accurate definition of the angular…

### Irrationality for Dummies

/
On one of my restless wanderings around the Internet, I came…

### Frequently Made Errors in Vectors - Elementary Use

/
A vector has magnitude and direction. Pictorially,…

### LightCone7 Tutorial Part III - How Things are Computed

/
In Part I and Part II of this mini-series, we have briefly discussed…

### The Case for Learning Complex Math

/
Resistance to complex math seems to never die out.  I see it…

### Complex and Irrational Exponents for the Layman

/
This Insight is part of our "Young Authors" series, where talented…