RE: Instant Mathematics, but just a taste
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I would've liked to read a book like that while I was in high school. I kept my math book for the final year, and it starts every chapter with calculations. Barely a sentence explaining the theory. No wonder I was always thinking "What is this and why are we doing it this way?" And that was the easy version, as preparation for the social sciences.
Later I taught myself imaginary numbers after I read a remark about the square root of - 1. It's such a wonderful concept!
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I think it's vital to understand where things come from so you can prove concepts to yourself. Learning should not just be about memorising things.
Imaginary/complex numbers crop up a lot. It takes a certain mind to make that leap to something different. We should celebrate mathematicians more.
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