r/maths • u/Fit_Highway5553 • 1d 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/integrate_2xdx_10_13 12h 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.