### Frames of Reference: Linear Acceleration View

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

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

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

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

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

### The Schwarzschild Geometry: Part 4

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In the last article, we looked at various counterintuitive…

### The Schwarzschild Geometry: Part 2

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

### The Schwarzschild Geometry: Part 1

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Not long after Einstein published his Field Equation,…

### Partial Differentiation Without Tears

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

### Solving the Cubic Equation for Dummies

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Everybody learns the "quadratic formula" for solving equations…

### Explaining Rolling Motion

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Although rolling wheels are everywhere, when most people are…

### Grandpa Chet's Entropy Recipe

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

### Orbital Precession in the Schwarzschild and Kerr Metrics

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

### Precession in Special and General Relativity

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The Absolute Derivative In relativity we typically deal with…

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

### Omissions in Mathematics Education: Gauge Integration

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

### Relativity on Rotated Graph Paper

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

### General Brachistochrone Problem

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

### Some Misconceptions on Indefinite Integrals

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Integration is an incredibly useful technique taught in all calculus…

### Basic Kinematics

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

### Spacetime Diagrams of Light Clocks

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We demonstrate a method for constructing spacetime diagrams for…

### Rare Kinematic Formula

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Here we present some useful kinematic fact which is uncommon…

### Elementary Construction of the Angular Velocity

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Physics books  seldom contain accurate definition of the angular…

### Irrationality for Dummies

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

### Frequently Made Errors in Vectors - Elementary Use

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A vector has magnitude and direction. Pictorially,…

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

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

### The Case for Learning Complex Math

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

### Complex and Irrational Exponents for the Layman

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

### LightCone7Combo Tutorial Part II - Charts

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Part I dealt with the basic user interface of LightCone7Combo.…

### What Are Eigenvectors and Eigenvalues?

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Two important concepts in Linear Algebra are eigenvectors…

### LightCone7Combo Tutorial Part I

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LightCone 7 Combo is a versatile tabulating/charting cosmological…

### Partial Fractions Decomposition

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Partial fractions decomposition is an algebraic technique that can…

### Frequently Made Errors in Climate Science - The Greenhouse Effect

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1.What is meant by "The Greenhouse Effect"? Many gases, such…

### Solving Nonhomogeneous Linear ODEs using Annihilators

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My previous Insights article, Solving Homogeneous Linear ODEs…

### Solving Homogeneous Linear ODEs using Annihilators

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In this Insights article we'll look at a limited class of ordinary…