Differential and Integral Calculus, Vol. One
– by Courant Institute of Mathematical Sciences Richard Courant
This book has been recommended for :
Where to get it ?
Comments about this book:
Author: Richard Courant
Stewart, Calculus: Early Transcendentals: This is a fairly standard textbook for freshman calculus. Mediocre overall.
Morris Kline, Calculus: An Intuitive and Physical Approach: Great book. As advertised, focuses on building intuition. Provides a lot of examples that aren’t the usual contrived “applications”. This would work well as a companion piece to the recommended text.
Courant, Differential and Integral Calculus (two volumes): One of the few math textbooks that manages to properly explain and motivate things and be rigorous at the same time. You’ll find loads of actual applications. There are plenty of side topics for the curious as well as appendices that expand on certain theoretical points. It’s quite rigorous, so a companion text might be useful for some readers. There’s an updated version edited by Fritz John (Introduction to Calculus and Analysis), but I am unfamiliar with it.” – Posted by Epictetus at http://lesswrong.com/lw/3gu/the_best_textbooks_on_every_subject/ – by Books2Learn – 2018-02-27