Calculus Reordered: A History of the Big Ideas. David M. Bressoud
Calculus-Reordered-A.pdf
ISBN: 9780691181318 | 242 pages | 7 Mb
- Calculus Reordered: A History of the Big Ideas
- David M. Bressoud
- Page: 242
- Format: pdf, ePub, fb2, mobi
- ISBN: 9780691181318
- Publisher: Princeton University Press
Free download books in english Calculus Reordered: A History of the Big Ideas FB2 ePub RTF 9780691181318 by David M. Bressoud
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 change Calculus 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.
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Calculus Before Newton and Leibniz - AP Central - The College Board
This article explores the history of calculus before Newton and Leibniz: the people, known by the Latinized form of his name: Alhazen) was one of the great Arab . The idea is to approximate the area using ever-smaller pieces whose area . We reorder the last sum, putting the fourth powers together and regrouping so
Calculus Reordered: A History of the Big Ideas (Hardcover) - 알라딘
Calculus Reordered: A History of the Big Ideas (Hardcover) 해외주문. David M. Bressoud (지은이)Princeton University Press2019-07-16
Calculus Reordered: A History of the Big Ideas | Bücher Doppler
Start; Calculus Reordered: A History of the Big Ideas. Calculus Reordered: A History of the Big Ideas. Angebote / Angebote: Noch nicht erschienen, Juli 2019
Calculus Reordered: A History of the Big Ideas - Google Books Result
David M. Bressoud - 2019 - Mathematics
Polynomial - Wikipedia
In mathematics, a polynomial is an expression consisting of variables (also called 9.2.1 Divisibility. 9.3 Positional notation; 9.4 Other applications. 10 History . The commutative law of addition can be used to rearrange terms into any preferred order. .. Polynomial graphs are analyzed in calculus using intercepts, slopes,
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