I stumbled upon Strogatz's Book "Nonlinear Dynamics and Chaos" and I find it just awesome. The interesting, informal way of writing and the quality of explanations made me finish the book just for fun and curiosity. I am looking for technical books with similar style. The topic is not the main concern here; I didn't plan to read Strogatz's book, but it was so good that I did that. If you people have recommendations for technical books that just make you want to read them, I would appreciate it a lot if you could share it here.
I am an engineering graduate, so the topic should be somewhat advanced.
"Cauchy-Schwarz Master class" is a really enjoyable introduction to different types of inequalities, all of which come handy in analysis. It has very leisurely style, a lot of fun details, and is easy to read. Link
"Stochastic Calculus and Financial Applications" has similar style but it much more rigorous than the one above and harder to read. This is not surprising given that subject itself is very technical. But again, the author makes it fun to study the book. Link
What you need to know to start doing physics is a modern description of classical mechanics, extremely well written and easily approachable with not many pre-requisites. If you already read Strogatz, this should be highly enjoyable.