I've been working through Morris Kline's Calculus: An Intuitive and Physical Approach and it's an absolutely excellent book for self-studying applied single-variable (and some multi-variable) calculus but I'm starting to wonder what the best book to continue with would be? I wouldn't want to just review single-variable calculus in rigorous form as an introduction to analysis but I'm also not sure if going straight into Baby Rudin/Apostol Vol. II or anything of that sort is any wiser. Or perhaps it is, having the physical intuitions of single-variable calculus as imparted by Kline? I'm not even sure.
[Math] Most Suitable Book after Kline’s Calculus
analysiscalculuslearningreal-analysisself-learning
Best Answer
I moved right into David Widder's Advanced Calculus and I find it perfect, there's almost no overlap. The only thing you have to brush up on beforehand is vector notation and some multivariate topics, but Pauls Online Math Notes solve that issue easily.