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Logic
A great one for the problem solvers and future proof-writers. While much of this won't seem familiar to you, it is the basis by which deduction is made in every area of maths.
Resources
Textbooks
A Course in Mathematical Logic by J.L Bell
Free
Mathematical Logic by J. R. Shoenfield
The Mathematics of Metamathematics by H. Rasiowa
Logic and Structure by D.van Dalen
Videos
Introduction to Propositional Logic (less maths-y)
Introduction to Mathematical Induction
Lectures ​
Mathematical Logic by L.Nguyen (a series!)
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Online Courses
Introduction to Logic by Stanford Uni.
Introduction to Logic and Critical Thinking by Duke Uni.
Introduction to Mathematical Thinking by Stanford Uni
Semantics of First-Order Logic by Stanford Uni
Books
Mathematical Introduction to Logic by H.B. Enderton
Beginning Mathematical Logic - A Study Guide by P. Smith (VERY USEFUL)
Introducing Logic - Graphic Book by D.Cryan
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