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Nonlinear dynamics and chaos by Strogatz. He really takes the time to explain concepts clearly and unlike any other math book I've read, he proves certain idea

Nonlinear dynamics and chaos by Strogatz. He really takes the time to explain concepts clearly and unlike any other math book I've read, he proves certain ideas graphically and considers it good enough, without having to write out formal and stuffy sounding proofs I'm also currently going through Applied Partial Differential Equations by Haberman. He explains the heat and wave equation from scratch and really makes a great effort to build up the complexity instead of just dumping it all in your lap.

tdba 4y ago
+1 to Strogatz's Chaos book - this was the first textbook I ever read cover to cover, almost like a novel, because of how exciting it was. I also really liked self studying Strang's Linear Algebra. Another one that comes to mind is Naive Set Theory by Halmos - it's a very short and well written introduction to set theory for practitioners but it still manages to get you thinking very deeply.