The first chapter "Conjectural Knowledge" of his book "Objective Knowledge" is a discussion of his proposed solution to the problem of induction. His theories

The first chapter "Conjectural Knowledge" of his book "Objective Knowledge" is a discussion of his proposed solution to the problem of induction. His theories of science (and in particular, of falsification) are explained in his book "Conjectures and Refutations". I read it years ago when I was in grad school. Popper's writing is clear and jargon-free, so anyone who is interested in his ideas should take a look at some of the original sources. Finally, "Wittgenstein's Poker" by David Edmonds and John Eidinow takes an argument between Wittgenstein and Popper as a starting point for exploring their lives and work.