Textbook literature on Lie groups

Question

I'm a student that wants to get to know Lie groups. I know a bit about manifolds and a bit about groups, but nothing about topological groups or such things. Can you suggest a textbook that covers the matter rather explicitly and in rather basic steps?

Answer 1

I recommend just reading the chapters in either Lee's "Introduction to Smooth Manifolds", or Loring Tu's "An introduction to manifolds", or both! This seems appropriate for your background and a good place to start.