Braver S. Full Frontal Calculus. An Infinitesimal Approach 2ed 2023

Textbook in PDF format

Written by Beckenbach-Prize-winning author Seth Braver, this textbook is designed for a standard single-variable calculus class. It is distinguished by its concision, its use of infinitesimals (though limits are here, too), and the high quality of its exposition. The emphasis throughout is on deep intuition and computational facility.
Acknowledgements.
Preface for Teachers.
Changes in the 2nd. Edition.
Preface for Students.
Differential Calculus.
Integral Calculus.
Special Topics.
Selected Answers.
Index.
About the Author