Some advice on number theory

I have always been fascinated by number theory but I could never train myself for it. No. 1 reason it's doesn't make the chunk of I'm syllabus so we do not practice much of it and no. 2 whenever I tried to learn it myself I have always failed. I tried to understand the Wilson theorem, Chinese Remainder theorem etc but it just crossed over my head. So I ask my fellow Brilliant members to advice me how should I start up with Number theory. Help would be appreciated.

#NumberTheory #Help

Easy Math Editor

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Comments

We are working on building out the Number Theory Wikis and Practice section, so that it can help others similar to you.

I like Wilson's Theorem written by @Jubayer Nirjhor , and Chinese Remainder Theorem written by @Satvik Golechha , @Agnishom Chattopadhyay , @Anuj Shikarkhane . Of course, this assumes that you are familiar with Modular Arithmetic, which is a good starting place to learn about Number Theory.

Practicing the problems written up would also be a good way for you to gain confidence in each of these skills.

Calvin Lin Staff - 6 years, 6 months ago

Thanks @Calvin Lin @Marc Vince Casimiro !

Sanchit Ahuja - 6 years, 6 months ago

Sometimes, books do not help you much. I founded Number Theory 2-3 month ago from a book called 'Elementary Number Theory by David M. Burton'. It is a good book for beginners and Brilliant helped me understand these kind of theorems. At first, I never did understand Chinese Remainder Theorem or Euler's Totient function until I found the proof of these theorems. So I advice you to learn how these theorems come up to fully understand them. You only need to know the basics while everything can be learned from Brilliant (I actually found what modular arithmetic and Sophie Germain identity are from The good ol' prime check )

Marc Vince Casimiro - 6 years, 6 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}`	$\boxed{123}$