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Linear Algebra

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This may be a request that's a bit out of the ordinary. I haven't been to school in quite some time, and I'm an adult attempting to get a grasp on a few subjects that I believe can help me with a large project I'm working on.

I'd like help learning very specific subjects that will most likely require on-going attention covering a broad range of categories, which include both mathematics and philosophy (logic). I'm a computer programmer by trade.

I'm perfectly fine with doing any work on the side to learn what is necessary, most likely from scratch, as my math skills are basically long forgotten. One of the things I'd like to do is ask direct questions with someone knowledgeable about high-level concepts (whether or not certain things are possible, general advice on how certain philosophical and mathematical concepts relate to one another, and possibly even help reading existing published papers). Just instead of general coursework, the topics will most likely be laser-focused on producing specific solutions to problems. I suppose you could say I?m more interested in application rather than theory.

Here's the general topics I'd like to touch on, and at the risk of being verbose, I?m less interested in a rigorous mathematical understanding, and more of a conceptional understanding that would lead to certain applications. The exact information I?m interested in will not come close to covering each topic in its entirety. You might even say I just want an explanation of certain things without the complicated mathematical lingo, though I realize the lingo is somewhat important. In short, I?m more of searching for a set of techniques that will let me solve a certain set of problems for a project.
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