Part two in our tri-weekly series is here. This week’s topic: Set Theory. For past topic, click the “math from scratch” tag below. There will be too many of these to include links in every article.
Category Archives: Bureau 42 Teaches
Math From Scratch 0001: Relations
Bureau 42’s biggest educational project to date begins here. The ultimate goal: teach everything we possibly can in math from the ground up in a sequence of comprehensive lessons, released no more than three weeks apart. This project will likely take years. The first lesson, defining mathematical relations, is available here.
Math From Scratch Bibliography
On January 1, the first lesson in a series of triweekly lessons launches. The concept is to cover all of the math I know and can learn in a logical sequence, with no assumptions of any kind, until a full tapestry of math has been produced. The bibliography for this will be huge. Instead of formal citations, as this will likely involve every book I own today and whatever else I buy in the next few years, I will list the bibliography as follows. My book collection is listed here. Every relevant book in that collection will be used at some point in the development of these lessons. In addition, I also have been referencing Wikipedia, Wolfram’s MathWorld and PlanetMath. The book collection I own will be updated periodically, while additional websites will be added to this article as they are incorporated in my research.
Math From Scratch – Plan and call for input
As previously announced, starting January 1, 2011, there will be a new math lesson posted here every three weeks until all the math that I know has been posted. Half of the lessons for 2011 are now written, and several other lessons heading into 2013 are roughed out on my outline. This is a call for input: at this stage in the planning, the real numbers and basic algebras have been put in place. Based on that, the next lessons can establish geometry, linear algebra, calculus, and more. Which topics do you, our readers, want to see prioritized? Speak your piece below or by direct e-mail. Users of the free (and Free, and highly recommended) yEd software can download the current plan from this link. (Right-click and save to make sure it loads in yEd.) Numbered blocks have specific lessons associated with them, blue blocks are lessons which have been written, and arrows lead from prerequisite topics to later topics. Some topics may be combined into single lessons or divided into multiple lessons as I get to the actual writing. I’ll try to keep that link up to date, along with the Bureau 42 event calendar.
Summer School 2010.9: Quantum Physics
We conclude the 2010 summer school session with lesson nine, dealing with spin. You will also find more content after the break.
Summer School 2010.8: Quantum Physics
The penultimate lesson in our Summer School details how atoms come together.
Summer School 2010.7: Quantum Physics
Our lessons are coming to a close, but that also means they are approaching the modern view of quantum mechanics. This week, we go Down the Rabbit Hole.
Summer School 2010.6: Quantum Physics
We are at the two thirds mark of our summer school. This week’s lesson: Quanta, Quanta Everywhere.
Partial Linear Algebra Lessons
As mentioned last week, I wasn’t pleased with how the linear algebra summer school modules were turning out, so the project has mutated into something else entirely. Those who are interested can read the portions that were completed here. All intended content will eventually become a part of the Math From Scratch project, but as the first lesson was the only one I was really satisfied with in this format, I’m changing the plans. Consider this a preview of the “Math From Scratch” project that will start in early 2011.
Summer School 2010.5: Quantum Physics
The midpoint in our series on Quantum Mechanics is available here.