My Math Book (Basics of Trig, Calculus, & Physics)

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My Math Book

(Basics of Trig, Calculus, & Physics)

This post is s page by page table of contents with links. Cumulatively, this post makes the electronic/online version of one of my three hand written math books.

These are not intended to replace, but may supplement standard math texts. When I went through electrical engineering school after the army, I found I really struggled to understsnd the math concepts. My professors would explain things one way, Khan Academy would break it down another way, etc. I made it through school because whenever I found an explanation that clicked for me, I put it in my little book, which I referenced all the way up to the end. Some of the simpler concepts like dimensional analysis will probably stick forever once I get it - but others (like integration by partial fractions) I will most likely never commit to memory.

Anyway, this is the base-level book. It covers introductory concepts like SI prefixes and dimensional analysis, and works up through several of the basic concepts of physics.

Feel free to reference as needed, or jump around according to your interests. @mcsamm the hydraulic ram pump on PG52 might be useful for you as you tackle the challenges of delivering water to communities around Ghana. This design harnesses the powers of water pressure and momentum to deliver water to a location uphill from the original source. Or @cahlen, you might be in a good position to confirm, deny or just try the physics of spear fishing as illustrated on PG71. All I’m saying is, physics is cool and I’ve tried in this small volume to honor that legacy :)

I’d like to say that the individual pages will be updated with more notes as they come up, but I don’t really use this math much in real life, so I’m posting this mostly for preservation.

If you’re just checking it out for the heck of it, I recommend the physics applications. I tried to put these together in a way that was fun and informative. Most of these will have fun illustrstions and other non-mathy nuances to make it aesthetically pleasing for any passers-by.

Pages/Sections

@mes I think I may have mentioned this book to you in one of our conversations in the comments - anyway I wanted to do this a while back but gave up due to the logistical challenges at the time - your STEM posts really inspired me to finalize this effort, so thank you for lighting the fire!

PS @adysscheryl Sorry the individual pages/posts weren’t properly tagged. I added tags to the last couple pages I uploaded, after seeing your comment. I may also go through over time and update them all to have tags. This was a pretty big undertaking and I’ve been trying for a few months to think of a better way to go about it, but so far creating the AZL INDEX support community was the best method I came up with. I apologize to anyone who was inconvenienced by the uploads required to pull this all together - I know it was intense, and I do not plan on repeating that any time soon.

Thanks for checking out some more of my work! As always, I hope you enjoyed witnessing as much as I enjoyed creating!

If you enjoy my content, check out the Albus Index!

Here you’ll find links to various post-groupings, so you can find all posts related to a specific topic quickly. Topics include lists of brewing recipes, flutes, crypto talks, rucking posts and an index of all acoustic covers. The lists are updated as new content is added, so they can always be used to quickly navigate my content.