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

Part 2   Differentiation, Spheres and Fiber Bundles Image…

How to Tell Operations, Operators, Functionals and Representations Apart

All these concepts belong to the toolbox of physicists. I read…

Simple Geometry, Deep Math

Introduction It is a remarkable fact that consideration of…

Representations and Why Precision is Important

First of all: What is a representation? It is the description…

Can Angles be Assigned a Dimension?

1. Some Background on Dimensional Analysis ... if you are…

Groups and Geometry

There is a very deep link between group theory and geometry.…

Friends, Strangers, 7825 and Computers

This insight will be about Ramsey theory. Ramsey theory has its…

Scientific Inference P3: Balancing Predictive Success with Falsifiability

  Bayes' Theorem: Balancing predictive success with…

Perfect Secrecy and the Unbreakable Cipher

Is it possible to design an unbreakable cipher? Do methods of…

The Monographic Substitution Cipher: From Julius Caesar to the KGB

A monographic substitution cipher works by replacing individual…

The Case for Learning Complex Math

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

Things Which Can Go Wrong with Complex Numbers

At the first sight, there are many paradoxes in complex number…

The Millennium Prize Problems: Part I

In this Insight, I will go over the background information…

Trials and Tribulations of a Physicist who Became a Math Geek

How did I go from the brink of changing my major from physics…
math obvious

Math and the Obvious

My #1 goal, when I teach a math class, is to convey a certain…

A Brachistochrone Subway Is Not a Cost-effective Idea

It is apparent that a subway tunnel could be built without the…