#### Fundamental group of SO(3) and Quaternions

: The aim of this note is to compute the fundamental group of using quaternions. More precisely, an is … more →

#### Frobenius theorem on real division algebras

: This post is a proof of the well known Frobenius theorem. It’s nothing groundbreaking, I’m just writ … more →

#### Senior Thesis

: This week I had to turn in my paper for my senior thesis. One thing was very clear: research and cou … more →

#### Irish mathematics for St. Patrick's Day — 5 comments

: The plaque commemorating the discovery of quaternions by William Rowan Hamilton. With so many websit … more →

#### BalanceBot – Sensors and IMU Library

: The BalanceBot needs to know if it’s upright to balance. If it starts tipping over in one direction … more →

#### BalanceBot - My First Post

: The plan for BalanceBot is a two wheeled self-balancing robot. I’ve always wanted to build one since … more →

#### A "Lobachevsky-like" revolution in arithmetics

: “I have not yet any clear view as to the extent to which we are at liberty arbitrarily to create ima … more →

#### Adding angular velocity to a rotation matrix

: The current problem that I am trying to solve is how to add a small angular velocity ω to a rotation … more →

#### Introduction to Ring Theory (1)

: Recall that in groups, one has only a binary operation *. Rings are algebraic structures with additi … more →

#### Maths Week: Ireland's lack of logic — 1 comment

: Guest post by Vincent Kelly We’re a bunch of dreamers uncomfortable with logic and the scientific me … more →

#### MATHEMATICA!

: 20 Things you didn’t know about math (until now). by Discover Magazine 1  The median score for … more →

: This will be a hastily-written installment since I married just this weekend and have other things o … more →

#### the universe in zero words

: The universe in zero words: The story of mathematics as told through equations is a book with a very … more →

#### Fluid Mechanics in Seven Dimensions?

: Cayley-Dickson Algebras: The Cayley-Dickson algebras are special real algebras satisfying for   If w … more →

#### What would I tell an alien about my Universe.

: If an alien approached  me about our Universe,  I would say , We live in a Quaternion Universe.  A Q … more →

#### 3D Rotations With Quaternions — 1 comment

: I am going to show you how 3D rotations can be done with quaternions. There are other tools than qua … more →

#### On manifolds homeomorphic to the 7-sphere

: It has been known since Milnor’s famous paper that two smooth manifolds can be homeomorphic wi … more →

#### Happenings – 2012 Feb 11

: (This post is also in the “quaternions” category. If that’s what you’re look … more →

#### Geometric Algebra book requests for January 2012

: I sent our department’s library coordinator the following list of book requests to be sent to … more →

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