What math do I need for /crypto/ & what do security guys

bump pls. I'd like to know as well

>>9005006
Algebraic Number Theory

>>9005006
Get an internship at the NSA

Keep your focus on algebra. No matter what you are going to do, you will need that. After doing a lot of algebra and number theory you will go one of two ways:
>analytic number theory
For this you will need analysis, so definitely look into that.
>arithmetic geometry
For this you will need even more (commutative) algebra and algebraic geometry.

In either case you need more algebra and number theory. Use Rosen for number theory to make sure you have the basics, and use Dummit & Foote, Artin, or some other algebra book to get your algebra.

>what do security guys do at tech companies?

They check people's ID at the door.
I don't think they need any math above being able to read a clock...

Good luck in your new career!

>>9005471
Excellent advice, I saved this.

>Use Rosen for number theory to make sure you have the basics, and use Dummit & Foote, Artin, or some other algebra book to get your algebra.

Sweet. I've been using Rosen over the summer. Number theory starts to crop up in section 1.7-1.8 (7th ed). then there is an entire chapter dedicated to it. This is how I discovered I really like this stuff. I'll do as you say, once I am done with Rosen I'll move on to Algebra with Dummit & Foote.

>>9005493
He wasn't talking about Rosen's baby discrete math book for high schoolers.

>>9005006
number theory, abstract algebra(finite field theory), and if u wanna go deeper into the rabbit hole, elliptic curves

>>9005526
Thanks,

What book recommendations do you have?

>>9005526
a nice starter book would be
Introduction to Cryptography with Coding Theory by trappe and washington

Gallian's Abstract Algebra book may be of assistance and all the number theory you need will be in the rosen book and trappe book

once ur comfortable with everything u can move on to
Guide to Elliptic Curve Cryptography by menezes, hankerson and vanstone
by then you should be up to ur gills in knowledge of modern crypto

>>9005527
>>9005533
response meant for

>>9005534
Thanks, when you mention Rosen's book do you mean: Elementary Number Theory and Its Application, 6th Edition ?

For Gallian is the 7th edition ok? Just remembered a friend gave me that book.

>>9005752
the number theory in the discrete math book of his is enough, but u may want to brush up on probabilities/expected values etc, and information theory is always a bonus, shannon was enormous in this regard, and the 7th edition of gallian is fine just find the answers to the exercises somewhere on the internets

>>9005006
Crypto guys aren't necessarily security guys. Many security guys know about crypto and code to make sure its implemented safely/correctly and many crypto guys know only the math and just enough cs to make sure the math is translated into the computer properly

>>9006331
Excellent, thank you.