Help: Need resources on Number Theory (Kinda)

Hey,

After being a while on Brilliant, I realize a lot of the problems in the number theory and combinatorics sections contain math which I do not know.

I've always glimpsed at books or lectures which include the traditional mathematical symbols (For all, There exists, etc.) where proofs are formulated.

I'd like to know what the area of mathematics that deals with an introduction to proof and using all those symbols in number theory and combinatorics, with some traditional and theoretical mathematics.

I have a math exercise book in which a lot of the problems say "Prove..." and I have no clue what do in these cases because I certainly have know knowledge in this vast area of mathematics.

Can anyone please give me resources (books, lectures, videos, notes) such that I can try to get an introduction over the summer.

Thanks

#NumberTheory

Easy Math Editor

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`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
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Comments

This packet is an introduction to common proof arguments, and symbols.

This book contains 50 problems in combinatorics that go from the very easy to the unsolved. All of the solved problems contain detailed solutions. It is a fun way to learn and you can try for yourself before learning from the solutions.

This series of videos is from the "Math for Computer Science" class at MIT and it goes through proofs, basic number theory, as well as combinatorics topics like graphs.

Josh Silverman Staff - 6 years, 11 months ago

Alright thanks! Good to hear about the MIT OCW because thats what I've been following for a while right now :) Let the proofs begin!

Hussein Hijazi - 6 years, 11 months ago

@jatin yadav @Daniel Liu @Calvin Lin @Arron Kau

Hussein Hijazi - 6 years, 11 months ago

@Pranav Arora @josh silverman

Hussein Hijazi - 6 years, 11 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$