Engineering Student Seeks Good Math Book: Advice?

[GiuseppeR7]

Hi, I'm a student of engineering.
I'm learning physics from the books of Feynman. As the time goes by i realize that i know VERY little about math.
So I'm looking for some math books that are analogue to the Feynman books but for the math, i mean i want a book, or a set of books that are able to give me a sound understanding of math, in specifics the basics, if they exist in mathematics. I have puts my hands on What Is Mathematics by Courant but it is not such a deep work in my opinion since it never even answer the question given in the title...but it's a very good "starter".
Thanks

 

[jedishrfu]

Are you looking for something like Arfken and Weber which surveys the math used in Physics and Engineering?

https://www.amazon.com/dp/0123846544/?tag=pfamazon01-20

There are other similar books like Boas:

https://www.amazon.com/dp/0471198269/?tag=pfamazon01-20

or Nearings book:

http://www.physics.miami.edu/~nearing/mathmethods/mathematical_methods-three.pdf

 

[GiuseppeR7]

mhhh...no...that is not the kind of stuff for what I'm looking for. Watching the contents of the books concepts like the set theory are not there. I want a book that can answer very basic question of mathematics, like: what do we mean by demonstration? how the Russel paradox was teated? what is the incompletness theorem by Godel?

 

[jedishrfu]

It's hard to decide on the level of detail you're looking for.

The lightweight one would Math 1001 by Elwes

A heavyweight one might be the Princeton Book of Mathematics

https://www.amazon.com/dp/0691118809/?tag=pfamazon01-20

 

[GiuseppeR7]

i'm going to take a look!