Calculus Reordered : A History of the Big Ideas
How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus pedagogy needs to changeCalculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolv...
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| Главный автор: | |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
Princeton, NJ :
Princeton University Press
[2019].
Princeton : 2019. |
| Предметы: | |
| Online-ссылка: | Accès Université d'Orléans et IFPM Accès INSA CVL |
| Примечание: |
Description based on online resource; title from PDF title page (publisher's Web site, viewed 20. Jun 2019) La pagination de l'édition imprimée correspondante est de 243 p. Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Calculus Reordered, A History of the Big Ideas, David M. Bressoud, 2019, Princeton, New Jersey, Princeton University Press, 1 vol. (xvi-224 pages.), 978-0-691-18131-8 |
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| 260 | |a Princeton, NJ : |b Princeton University Press, |c [2019]. | ||
| 260 | |a Princeton : |b Princeton University Press, |c 2019. | ||
| 500 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 20. Jun 2019) | ||
| 500 | |a La pagination de l'édition imprimée correspondante est de 243 p. | ||
| 500 | |a Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur | ||
| 500 | |a Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur | ||
| 506 | |a L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition | ||
| 520 | |a How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus pedagogy needs to changeCalculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus represents a sounder way for students to learn this fascinating area of mathematics.Delving into calculus's birth in the Hellenistic Eastern Mediterranean-particularly in Syracuse, Sicily and Alexandria, Egypt-as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus's evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends that the historical order-integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities-makes more sense in the classroom environment.Exploring the motivations behind calculus's discovery, Calculus Reordered highlights how this essential tool of mathematics came to be | ||
| 538 | |a Nécessite un navigateur et un lecteur de fichier PDF | ||
| 650 | |a MATHEMATICS / Calculus | ||
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