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Differential Calculus: From Practice to TheOry [Boman] - mklabgr - 06-10-2026
Differential Calculus: From Practice to Theory
Author(s): Eugene Boman
Summary
Covers all of topics in a typical first course in differential calculus. Focuses on calculus as a problem-solving tool. Interesting and important historical problems (the motion of falling bodies and trajectories, the shape of hanging chains, the Witch of Agnesi) are used to develop key ideas. Only after skill with the computational tools of calculus has been developed is the question of rigor seriously broached. At that point, the foundational ideas (limits, continuity) are developed to replace infinitesimals, first intuitively then rigorously. This approach is more historically accurate than the usual development of calculus and, more importantly, it is pedagogically sound.
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