Calculus - Iversen, Gudmund R. (Sage Publications, 1996)
Includes bibliographical references (page 81)
This overview of the central ideas of calculus provides many examples of how calculus is used to translate many real world phenomena into mathematical functions
1. Mathematical functions -- Graphs of functions -- Continuity -- Calculus -- Differentiation and integration -- Duality -- 2. Differentiation -- Definition of the derivative -- Simple examples -- The derivative of a sum of two functions -- Other functions -- Derivatives of a product and a quotient of two functions -- The chain rule -- Different notations -- Higher derivatives -- List of derivatives -- 3. Integration -- The definite integral -- Area and slope -- Adding small rectangles -- The fundamental theorem of calculus -- The integral as a function of a limit -- Specific integrals -- Integration methods -- List of integrals -- 4. Applications -- Maximum and minimum -- Integration -- Distance, speed, and acceleration -- Applications in statistics -- Applications in the social sciences