Post #1677753

2026-04-23 00:22 UTC

@rtn Interesting. In the US these topics aren't typically taught in a single course so as far as I know they're not likely to be found in a single textbook. There are plenty of textbooks that combine the intro to proof stuff with combinatorics and a touch of number theory, but they won't have diophantine equations, complex numbers, etc. You would probably need three American textbooks to cover all this. Here are some good undergraduate level ones that don't require too much background: How to Prove it by Daniel Velleman Discrete Mathematics: Elementary and Beyond by László Lovász, J. Pelikán, and K. Veztergombi Elementary Number Theory by David Burton These cover everything you mentioned except the fundamental theorem of algebra and the linear algebra stuff.

Replies (2)

@rtn@chaos.social 2026-04-23 01:17

@AdrianRiskin Wonderful! I think this book I have kind of brushes over many topics so it isn't that deep by nature, hence the many topics. So it's nice in the way that it introduces many topics. Not too worried about linear algebra for now. Pretty sure I can find some really good and hopefully a bit deeper books on that as well later on. Thanks!

Open ##1677754
@rtn@chaos.social 2026-04-23 01:37

@AdrianRiskin Any thoughts on Elementary Number Theory, Group Theory and Ramanujan Graphs by Giuliana Davidoff, Peter Sarnak, Alain Valette?

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