The Calculus for Beginners
by John William Mercer
Publisher: Cambridge University Press 1914
Number of pages: 470
The author has been guided by the conviction that it is much more important for the beginner to understand clearly what the processes of the Calculus mean, and what it can do for him, than to acquire facility in performing its operations or a wide acquaintance with them.
Home page url
Download or read it online for free here:
by Karl Heinz Dovermann - University of Hawaii
The author introduces limits and derivatives, provides some rules for their computations, discusses some properties of differential equations, geometric properties of graphs, introduces the ideas of the definite and the indefinite integral, etc.
by Matt Boelkins - Grand Valley State University
Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore.
by Kenneth Kuttler - Brigham Young University
The difference between advanced calculus and calculus is that all the theorems are proved completely. Routine skills are supposed to be mastered and have no place in advanced calculus which deals with the issues related to existence and meaning.
by Robert Ghrist - University of Pennsylvania
This text is meant to be read and enjoyed. It assumes you've seen some Calculus before: you know what to do (differentiate / integrate) and how to do it, but you don't know what it really means -- like everything else in life ...