Group Theory/Set Theory/Discrete Math books?

[Saladsamurai]

Hello Merry Friends! Here is my situation:

I am a fourth-year mechanical engineering student. I am very interested in mathematics though. I feel like my mathematical foundation in quite weak though. I dropped out of high school long ago. And so, though I have maintained a perfect score in all of my college maths, there are many fundamental gaps that are missing.

I can do algebra and I can do trig and calculus. What I lack is a deep understanding of the fundamentals of math. I have recently been trying to teach myself linear algebra and have realized that I have never seen symbols like \in\text{ or }\cup\text{ or }\cap before. Words like "sets" and "union" and "intersection" I have to repeatedly look up on wiki.

It has been suggested that I look into some introductory Group Theory/Set Theory/Discrete Math books.

What do you recommend? Pretend that I am a early High School student and I have no theoretical background in math. I can only 'go through the motions' of basic algebra.

What do you suggest? Thanks!

 

[thrill3rnit3]

For an introduction to set theory:

https://www.amazon.com/dp/0824779150/?tag=pfamazon01-20

 

[malawi_glenn]

This one

https://www.amazon.com/dp/3540761780/?tag=pfamazon01-20

set-theory, proofs, complex numers, linear algebra, group theory, series, introduction to analysis. Exaples and solutions. Cheap, good reviews. Perfect for someone who wants to learn "real" math.

This one I can personally recommend, since I have learned the stuf from this one, does not contain as many topcs, but focus on Discrete mathematics:
https://www.amazon.com/dp/3540761772/?tag=pfamazon01-20

also this one might be of interest?
https://www.amazon.com/dp/0071470387/?tag=pfamazon01-20

 

[qspeechc]

How about reading this before any other maths books:

https://www.amazon.com/dp/0521675995/?tag=pfamazon01-20

The first edition is also good