Calculus: The Analysis of Functions

This is my favourite Calculus text. Although I only use it as a supplement to our regular text, I would love to teach my whole course the way Dr. Taylor describes.Calculus: the Analysis of Functions begins with a graphical tour of the world. Rates of change are approached graphically through rich problems like "Lining up for a Squash court", "the Mile Record", "Optimal Cookie Size". These problems make the student communicate the meaning of a rate of change in various contexts. Development of rates of change for different types of functions are generally done from a geometric or graphical point of view. Exponential and logarithmic functions are especially well done in my opinion. This is where I replace my traditional text with exercises drawn from Taylor's book.Antidifferentiation includes a section on continuous probability, not usually found in an introductory text. But this isn't the usual fare.Those who like a lot of manipulative practice evaluating left and right handed limits, continuity exercises and development from first principles will find this text lacking, but you must include it in your library and you must experience the pleasure of teaching "Taylor-like Calculus"