Differential Calculus: From Practice to Theory - Couverture souple

Boman, Eugene; Rogers, Robert

 
9781942341956: Differential Calculus: From Practice to Theory
Couverture souple
ISBN 10 : 1942341954 ISBN 13 : 9781942341956
Editeur : SUNY Geneseo, 2023

Synopsis

Differential Calculus: From Practice to Theory covers all of the topics in a typical first course in differential calculus. Initially it focuses on using calculus as a problem solving tool (in conjunction with analytic geometry and trigonometry) by exploiting an informal understanding of differentials (infinitesimals). As much as possible large, 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. The text also incorporates curated activities from the TRansforming Instruction in Undergraduate Mathematics Instruction via Primary Historical Sources (TRIUMPHS) project to provide students with ample opportunities to develop relevant competencies.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
SUNY Geneseo
Date d'édition
2023
Langue
anglais
ISBN 10 
1942341954
ISBN 13 
9781942341956
Reliure
Broché
Nombre de pages
601
Coordonnées du fabricant
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