This book covers calculus of a single variable. It is suitable for a year-long (or two-semester) course, normally known as Calculus I and II in the United States. The prerequisites are high school or college algebra, geometry and trigonometry. The book is designed for students in engineering, physics, mathematics, chemistry and other sciences. One reason for writing this text was because I had already written its sequel, Vector Calculus. More importantly, I was dissatisfied with the current crop of calculus textbooks, which I feel are bloated and keep moving further away from the subject’s roots in physics. In addition, many of the intuitive approaches and techniques from the early days of calculus—which I think often yield more insights for students—seem to have been lost.
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