Calculus in Context

Background, Basics, and Applications

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Breaking the mold of existing calculus textbooks, Calculus in Context draws students into the subject in two new ways. Part I develops the mathematical preliminaries (including geometry, trigonometry, algebra, and coordinate geometry) within the historical frame of the ancient Greeks and the heliocentric revolution in astronomy. It then presents a brief but essential calculus course from the work of Newton and Leibniz. This section culminates in an exposition of the heart of Newton's theory of planetary motion. With its focus on the principal ideas and arguments, this introduction helps studen...