Rational points on elliptic curves
by Joseph H. Silverman · first published 1992
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Anything written by Ian Stewart. "Rational points on elliptic curves" by Silverman
on “Ask HN:Math Books” ↗Subsequently, if you've taken an undergraduate level algebra class (or just have mathematical maturity and can work through some algebraic definitions) I suggest Tate and Silverman's Rational Points on Elliptic Curves. It's not super rigorous but it's good at introducing elliptic curves. https://link.springer.com/book/10.1007/978-3-319-18588-0
on “Elliptic Curves: The Great Mystery” ↗…the steps were individually too hard but still involving enough that they forced me to think and thus develop some insight on my own. (This approach can also fail. Silverman's otherwise excellent book Rational Points on Elliptic Curves has a guided proof of Bezout's theorem in the appendix that is just too atomized to engender much understanding.)
on “Early look into Khan Academy iPad app” ↗My Masters Thesis in 1972 was “Rational Points on Elliptic Curves”. It’s been sitting on my shelf for 50 years. A month ago, I discovered that EC’s are now the basis for encryption. Been fun exploring what’s been done since 1972. However, based on what I know, Cryptocurrencies…
on “Elliptic Curves” ↗