Difference Equations to Differential Equations - An introduction to calculus
by Dan Sloughter
Number of pages: 599
The study of calculus begins with questions about change. What happens to the velocity of a swinging pendulum as its position changes? What happens to the position of a planet as time changes? What happens to a population of owls as its rate of reproduction changes? Mathematically, one is interested in learning to what extent changes in one quantity affect the value of another related quantity. Through the study of the way in which quantities change we are able to understand more deeply the relationships between the quantities themselves.
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by David Guichard - Lyryx
The book covers the standard Calculus I and II courses, with Calculus III under development. It is accessible to first year college and university students. The emphasis in this course is on problems -- doing calculations and story problems.
by John M. Erdman - Portland State University
A textbook for majors in mathematics and physical sciences, it concentrates on concepts and proofs. It is intended for students who have completed a standard introductory calculus sequence and who wish to know where all those formulas come from.
by Robert H. Smith - Griffin
This work presents the leading features in the study and application of the higher mathematics. The development of the subject is based on essentially concrete conceptions, and no appeal is made to what may be termed rational imagination.
by Gilbert Strang - Wellsley Cambridge Press
The book covers all the material of single and multivariable calculus that is normally in a three semester course for science, mathematics, and engineering students. The style is less formal and more personal than the typical text.