Unfortunately, “Math From Scratch” will be taking an unscheduled break. It will come back, I assure you; I enjoy making it far too much. I tried to go without volume breaks and shouldn’t have; things got suddenly much, much busier at work this month, and I discovered when writing the August entry that there are several assumptions and prerequisites that I missed in my original outline that require restructuring. I hope to have things back on track for October, and I apologize for the delay.
The latest Math From Scratch lesson is available here.
The latest chapter of Math From Scratch can be found here, and introduces the idea of matrix solutions to polynomial equations.
Our latest installment of Math From Scratch includes the introduction to matrices, including their addition, subtraction, multiplication and division.
The latest chapter of Math From Scratch includes introductions to n-tuples, vectors, vector spaces and a quick introduction to inner products.
This month, we introduce, but do not yet prove, the Fundamental Theorem of Algebra. You can read it all here.
Now that we can work with complex numbers, we can identify new algebras using these objects while working towards graphing.
The latest chapter of Math From Scratch is ready here, and details the exact justifications for removing the Axiom of Inequality, also known as the well-ordering principle, and then introduce the new axiom that replaces it.
We continue from where we left off last month, and define the roots of quartic polynomials. You can find the latest chapter of Math From Scratch right here.
We continue from where we left off last month, and define the roots of cubic polynomials. You can find the latest chapter of Math From Scratch right here.