Recent high school grad here. I'm planning on majoring in math, but have 0 background in proofs. Could anyone recommend a good book as an introduction to proofs? I'd like to study it over the summer.
Recent high school grad here. I'm planning on majoring in math, but have 0 background in proofs...
Try a book on some easy topic like basic number theory or basic algebra, the only way to learn proofs is by doing them
I found "The Book of Proof" by Richard Hammack pretty easy and informative, although I've also heard good things about "How to Prove It" by Daniel Velleman.
I got the latter, will check out the former, thank you.
I used that recently for my first majors only math class. It was like a prequel to real analysis. It's got a nice bit of logic and set theory if I remember correctly.
>Recent high school grad here.
Stopped reading there.
Like said, the best way to learn proof theory is to just do proofs. It's an intuition you have to develop.
If you want to go to the roots of provability, I'd suggest looking at discrete maths. The first section in Discrete Mathematics and its Applications by Kenneth Rosen does a real good job of introducing logic, and provability from there.
Just read Munkres. Memorize everything in the book and you'll be pretty solid.
MATHEMATICS: Its Content, Methods and Meaning by Kolmogorov is all you need.
Is this the new thing? Posting shitty /pol/ meme with a vague/dumb Veeky Forums question?
Do you retards really believe you're going to win people over as if its advertising?