manifold2

A Journey to The Manifold SU(2) - Part II

/
Part 1   Representations Image source: [24]   6.…
fourierseries2

Further Sums Found Through Fourier Series

/
In an earlier insight, I looked at the Fourier series for some…
Parsevalstheorem

An Integral Result from Parseval's Theorem

/
Introduction: In this Insight article,  Parseval's theorem…
processing

The Joy of Processing

/
In the early days of the personal computer revolution, computers…
BondiKcalculus

Relativity Using the Bondi K-calculus

/
Although Special Relativity was formulated by Einstein (1905),…
deriitive5

The Pantheon of Derivatives - Part V

/
  Important Theorems - biased, of course Implicit…
RelativityVariables

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

/
Traditional presentations of special relativity place emphasis…
deriitive4

The Pantheon of Derivatives - Part IV

/
  Lie Derivatives A Lie derivative is in general the…
deriitive3

The Pantheon of Derivatives - Part III

/
  Some Topology Whereas the terminology of vector…
deriitive2

The Pantheon of Derivatives - Part II

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

The Pantheon of Derivatives - 5 Part Series

/
  Differentiation in a Nutshell I want to gather the…
integraltrick

Trick to Solving Integrals Involving Tangent and Secant

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

Frames of Reference: Linear Acceleration View

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

Fabry-Perot and Michelson Interferometry: A Fundamental Approach

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

Using the Fourier Series To Find Some Interesting Sums

/
Preliminaries If f(x) is periodic with period 2p and f’(x)…
SchwarzschildGeometry4

The Schwarzschild Geometry: Part 4

/
  In the last article, we looked at various counterintuitive…
SchwarzschildGeometry2

The Schwarzschild Geometry: Part 2

/
  At the end of part 1, we looked at the form the…
SchwarzschildGeometry1

The Schwarzschild Geometry: Part 1

/
  Not long after Einstein published his Field Equation,…
partial-differentiation

Partial Differentiation Without Tears

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

Solving the Cubic Equation for Dummies

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

Explaining Rolling Motion

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

Grandpa Chet's Entropy Recipe

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

Orbital Precession in the Schwarzschild and Kerr Metrics

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

Precession in Special and General Relativity

/
The Absolute Derivative In relativity we typically deal with…
spacetimetetrad

Tetrad Fields and Spacetime

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

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…
Brachistochrone

General Brachistochrone Problem

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

Some Misconceptions on Indefinite Integrals

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

Basic Kinematics

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

Rare Kinematic Formula

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

Elementary Construction of the Angular Velocity

/
Physics books  seldom contain accurate definition of the angular…
irrationalnumbers

Irrationality for Dummies

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