This book is intended for science and engineering majors who are required to take calculus and are looking for a more intuitive way of understanding it. This is a non-rigorous infinitesimal approach which focuses on differentials of variables rather than limits of functions. These methods were originally conceived by G. Leibniz over 300 years ago and have been used successfully by scientists ever since. It is written in the spirit of Calculus Made Easy by S. Thompson. Thompson wrote his book in 1910 before infinitesimals were legitimized. This is not a textbook. Examples are given to illustrate concepts but there are no exercise sets. It is meant to be used as a supplemental reading. This is the third edition with some new material and changes.
This book is intended for science and engineering majors who are required to take calculus and are looking for a more intuitive way of understanding it. This is a non-rigorous infinitesimal approach which focuses on differentials of variables rather than limits of functions. These methods were originally conceived by G. Leibniz over 300 years ago and have been used successfully by scientists ever since. It is written in the spirit of Calculus Made Easy by S. Thompson. Thompson wrote his book in 1910 before infinitesimals were legitimized. This is not a textbook. Examples are given to illustrate concepts but there are no exercise sets. It is meant to be used as a supplemental reading. This is the third edition with some new material and changes.