Elementary Illustrations of the Differential and Integral Calculus
by Augustus De Morgan
Publisher: The Open Court Pub. Co. 1899
Number of pages: 194
The style is fluent and familiar; the treatment continuous and undogmatic. The main difficulties which encompass the early study of the Calculus are analysed and discussed in connexion with practical and historical illustrations which in point of simplicity and clearness leave little to be desired.
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by Paul Garrett
A short text covering introductory calculus topics: functions, limits, derivatives, critical points, minimization and maximization, l’Hospital’s rule, higher derivatives, integration, area and definite integrals, numerical integration, etc.
by Paul Dawkins - Lamar University
These notes should be accessible to anyone wanting to learn Calculus I or needing a refresher in some of the early topics in calculus. Contents: Review; Limits; Derivatives; Applications of Derivatives; Integrals; Applications of Integrals.
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 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.