Ive been getting into Wittgenstein and Russell lately and I wanted to know where I can study such maths and logic.
It depends on your motivations. You can study mathematical logic from a philosophical point of view, a computer science point of view, a purely mathematical point of view... I don't know your background.
Some (not too technical I think) introductions textbooks I can think of (but you can find plenty of them in the link above) :
- Mathematical Logic, Chiswell and Hodges. Very concise, easy to understand but not that complete.
- An introduction to Gödels Theorems, Smith
It focuses on the study of proofs.
- An Introduction to Proof Theory (Comes from The Handbook of Proof Theory), Buss
A bit old but still interesting
Interesting books from famous authors but use outdated notations and are more technical.
- Introduction to logic and to the methodoly of deductive sciences, Tarski
- Mathematical Logic, Kleene
This is a FREE and very well designed MOOC (Massively Open Online Course) by Professor Keith Devlin of Stanford University:
It was designed as a transitional course from high school to university level math and is a great indtroduction to mathematical thinking. He's also got some great lectures available on YouTube.
It's not specifically "mathematical logic" as stated in the OP title. But for someone interested in "math and logic" as stated in the post, the course is a great intro to mathematical thinking including truth tables, existential quantifiers, infinity, set theory and such.