Now on ScienceBlogs: "Investigative science journalism" and books I like to read [All of My Faults Are Stress Related]

Seed Media Group

The Week In ScienceBlogs: Sign up for our newsletter.

Good Math, Bad Math

Finding the fun in good math; Shredding bad math and squashing the crackpots who espouse it.

Search

Profile

markcc.jpg
Mark Chu-Carroll (aka MarkCC) is a PhD Computer Scientist, who works for Google as a Software Engineer. My professional interests center on programming languages and tools, and how to improve the languages and tools that are used for building complex software systems.

Donors Choose

Other Information

Add this blog to my Technorati Favorites!

Recent Posts

Recent Comments

Categories

Blogroll

Old Topic Indices

Great Online Books

Group Theory:

Clarifying Groupoids and Groups

Category: Group Theory

This post started out as a response to a question in the comments of my last post on groupoids. Answering those questions, and thinking more about the answers while sitting on the train during my commute, I realized that...

Read on »

More Groupoids and Groups

Category: Group Theory

In my introduction to groupoids, I mentioned that if you have a groupoid, you can find groups within it. Given a groupoid in categorical form, if you take any object in the groupoid, and collect up the paths through...

Read on »

Capturing More Symmetry using Categories: Groupoids

Category: Group Theory

Today's entry is short, but sweet. I wanted to write something longer, but I'm very busy at work, so this is what you get. I think it's worth posting despite its brevity. When we look at groups, one of...

Read on »

Before Groups from Categories: a Category Refresher

Category: Group Theory

So far, I've spent some time talking about groups and what they mean. I've also given a brief look at the structures that can be built by adding properties and operations to groups - specifically rings and fields. Now,...

Read on »

Fields, Characteristics, and Prime Numbers

Category: Group Theory

When we start looking at fields, there are a collection of properties that are interesting. The simplest one - and the one which explains the property of the nimbers that makes them so strange - is called the characteristic...

Read on »

Abstract Real Numbers: Fields

Category: Group Theory

When I learned abstract algebra, we very nearly skipped over rings. Basically, we spent a ton of time talking about groups; then we talked about rings pretty much as a stepping stone to fields. Since then, I've learned more...

Read on »

Building up more: from Groups to Rings

Category: Group Theory

If you're looking at groups, you're looking at an abstraction of the idea of numbers, to try to reduce it to minimal properties. As I've already explained, a group is a set of values with one operation, and which...

Read on »

The Meaning of Division: Quotient Groups

Category: Group Theory

After that nasty diversion into economics and politics, we now return to your regularly scheduled math blogging. And what a relief! In celebration, today I'll give you something short, sweet, and beautiful: quotient groups. To me, this is a...

Read on »

Symmetric Groups and Group Actions

Category: Group Theory

In my last post on group theory, I screwed up a bit in presenting an example. The example was using a pentagram as an illustration of something called a permutation group. Of course, in my attempt to simplify it...

Read on »

Groups and Symmetry

Category: Group Theory

In the last post, I talked about what symmetry means. A symmetry is an immunity to some kind of transformation. But I left the idea of transformation informal and intuitive. In this post, I'm going to move towards formalizing...

Read on »


Stats

ScienceBlogs

Search ScienceBlogs:

Go to:

Advertisement
Advertisement

© 2006-2009 Seed Media Group LLC. ScienceBlogs is a registered trademark of Seed Media Group. All rights reserved.

Sites by Seed Media Group: Seed Media Group | ScienceBlogs | SEEDMAGAZINE.COM