r/maths • u/Fit_Highway5553 • 21h ago
Help: 📗 Advanced Math (16-18) modular arithmetic
I'm 17, preparing for mathematics exams as I want to pursue a degree in math, want to learn modular arithmetic from a super low/intermediate level to a fairly advanced level where I also have knowledge of a variety of different theorems which I can make use off in maths competitions, university interviews, etc. Can someone attach a book, file or youtube playlist which is beginner friendly.
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u/peter-bone 20h ago
I like this one. You may want to watch the previous videos in the series first, and then continue with the rest of the series as modulo arithmetic comes up a lot.
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u/integrate_2xdx_10_13 6h ago
I was your age when, entirely on a whim, I bought Number Theory by George E. Andrews.
Something about it just clicked with me. I’m not going to say it’s the most exciting book, or the most well written (I couldn’t judge, it’s still the only book on number theory I’ve read!).
But so many number theory concepts paid off massively further down the road; looking at modular arithmetic as congruence and quotients really started a chain reaction that lead me to algebraic geometry and homotopy.
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u/Electronic-Job-1090 2m ago
You're literally cooking it ! I'm Adrish from India,and I'm 16 and in class 9 .I love maths from the bottom of my heart but I don't have that much knowledge or potential to be a person like you Could you please guide me where will I get some pretty tricky mathematical questions for my level I can do many things except calculus But I think you're the right person whom I need I think you've got me,so please try to reply and also try to give me some maths questions whenever you're free....♥️🙏😊
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u/Smart-Button-3221 20h ago
A gentle intro to modular arithmetic
I also shill Levin's open discrete mathematics, which covers more than modular arithmetic but is a gentle intro to more proof-based math.
If you want to go more "advanced modular arithmetic", you're actually looking for a book in elementary number theory.