Rogers, R: Differential Calculus

Boman, Eugene; Rogers, Robert

ISBN 10: 1942341954 / ISBN 13: 9781942341956

Published by Amazon Digital Services LLC - Kdp, 2023

About this Item

Neuware - 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.

Seller Inventory # 9781942341956

Bibliographic Details

• Title: Rogers, R: Differential Calculus
• Publisher: Amazon Digital Services LLC - Kdp
• Publication Date: 2023
• Language: English
• ISBN 10: 1942341954
• ISBN 13: 9781942341956
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 254W x 203H x 31D millimeters 254 millimeters width by 203 millimeters height by 31 millimeters depth
• Weight: 1175 grams

About this title

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.