In this book, intended as a supplement to another textbook or course, I attempted to condense a lot of information down and provide clear explanations of the essential concepts. Not a lot of emphasis is put on applications or rigor, but proofs or motivations at least are included for the majority of topics. The exercises, while few in number, all have solutions, with step by step solutions for some of the harder ones.
This book is meant for anyone learning multivariable calculus for the first time. No experience other than a standard single variable calculus course is necessary.
A (free) pdf version can be obtained here: https: //leanpub.com/multivariablecalculus