I've spent a couple years through high school bumping elbows with "higher material" like Bayesian inference, Jacobians, Lagrangians, Markov chains, and Fourier transforms. They’ve always had a fearsome reputation for difficulty. The theories are beautiful, but quite difficult to learn if you are not already well trained in advanced mathematics and physics. There are excellent textbooks out there but I found that reading such material is a dismal and trying experience if you do not know what to consult. Typically the first few pages fly through math, sometimes presenting an entire semester’s worth of content in a few brief chapters. It is often difficult to find your way around which material to read and in what order to read it. Most texts are built for very specific purposes directed at a specific group of people with specific requisites. Lacking knowledge of this impedes learning.

 

Sometimes you might want to convert something from the frequency domain to the time domain for a specific problem, write some code to simulate the harmonic oscillator, or understand the Lagrangian as it relates to your system. Sometimes you're looking for problems, for theory, or for worked examples. The Notes Repository is built to address all of those needs. This is not the place to be if you design military-grade radars or are working on the next Apollo mission. It's for the curious, independent learner. Here, the intention is to establish a solid foundation in undergraduate mathematics and physics in a structured, directed way. 

 

In the future, I intend on building all the material from the ground up but there are many people on the internet who are far more qualified than I am — it is finding the right content that is time-consuming. For now, I rely on a combination of creating my own texts and using existing ones that're already appropriate. Each field is broken down into smaller PDFs, along with a README file which elucidates on the structure of the repository and directs readers to other references they might find useful. You'd be surprised by how much can be learned for free.

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Currently, the content hosted will largely revolve around Physics and Mathematics - I hope to extend this to Computer Science as well. This is a realization of my effort for open-education. The content here is courtesy of its contributors and will remain free forever.