#Calculus of infinitesimals series

Limits are a notoriously difficult concept for a student new to doing mathematics. I've been looking for a calculus book taking the infinitesimal approach, written by a mathematician with contributions to the field, and with applied examples (necessary for any calculus education). Keisler is a good teacher and a good writer.more But as I said, enough to learn basics and get you ready for next steps in learning this wonderful science called math.

#Calculus of infinitesimals series

Also, differential equations and series are only glossed over. Mind you: there are some proofs stated in the book, but you won't find proof for Stokes theorem, for instance. If you are planning to read this piece, by all means, do it slowly and unconditionally understand every step you make. If I would be a true beginner in math, I would start with this one. I wouldn't say that it is the only resource for calculus that one should own, but it definitely gets you going. It shows certain elementary stuff, that one just needs to know, before diving deep into mathematical analysis. Mind you: there are some proofs It is a definitely a good book for a beginner in calculus.

It is a definitely a good book for a beginner in calculus.