I want to learn more about algebra and matrices. I just turned 52 and mathematics is one of the subjects that it makes me feel that I can challenge and maintain my brain healthy. Could you recommend me a mathematics manual or a book that contains exercises and explains the method of resolving? I want to make a new habit for myself in learning new things that contribute to my health.
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- 6$\begingroup$ This is a great and intellectually courageous endeavor. Math is SUCH a broad topic. Is there one area that most interests you? (Algebra, geometry, trigonometry, number theory, etc.)... $\endgroup$David G. Stork– David G. Stork2025-05-05 18:37:22 +00:00Commented May 5 at 18:37
- 3$\begingroup$ Welcome to Math SE! Here we don't really answer opinion-based questions like this, though, if I had to recommend some for you, they would be the AoPS, Art of Problem Solving books. Good luck on your journey! $\endgroup$Debalanced– Debalanced2025-05-05 18:37:23 +00:00Commented May 5 at 18:37
- 1$\begingroup$ I love the idea of learning linear algebra as a way to keep your brain active! Could you say more about your math background? It would be much easier to recommend books that cater to where you’re at in your mathematical journey. $\endgroup$Joe– Joe2025-05-05 18:38:07 +00:00Commented May 5 at 18:38
- 9$\begingroup$ Unfortunately. You don't tell us what you are starting from. $\endgroup$Thomas Andrews– Thomas Andrews2025-05-05 18:38:11 +00:00Commented May 5 at 18:38
- 3$\begingroup$ @Cristina It would be helpful if you could edit your question to give us an idea of your mathematical background. For example: when you first took math classes, what was the most advanced level that you reached? How long has it been since you took a math class? Do you regularly use math in any capacity? $\endgroup$Ben Grossmann– Ben Grossmann2025-05-05 18:46:47 +00:00Commented May 5 at 18:46
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One service that's impressed me is Project Euler https://projecteuler.net/about
which now has about a thousand problems. They are written for investigation by computer, so one would learn some easier language while doing the problems. The whole thing was designed with the prototypical 14 year old boy in mind, computers and contests and the like.
I Need to think about it. Tricky to find problem books at just the right level.
hmmm. Matrices. some free items
https://archive.org/details/theoryofequation0000uspe_q9z0
https://archive.org/details/in.ernet.dli.2015.459753
https://ia601303.us.archive.org/18/items/theoryofdetermin01muiruoft/theoryofdetermin01muiruoft.pdf
