Calculus Reordered: A History of the Big Ideas. David M. Bressoud
Calculus-Reordered-A-History.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 ebook downloads for kindle Calculus Reordered: A History of the Big Ideas English version by David M. Bressoud 9780691181318
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 Reordered: A History of the Big Ideas - Bøger - CDON.COM
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
Series (mathematics) - Wikipedia
In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity. The study of series is a major part of calculus and its generalization, For a long time, the idea that such a potentially infinite summation could produce a finite result
Calculus Reordered: A History of the Big Ideas - Google Books
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
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Princeton University Press Spring 2019 Catalog - Mathematics
Calculus Reordered takes readers on a remarkable jour- ney through . big ideas that drive the computer networks we use every day. CHRISTOPHER G.
A Bibliography of Early Modern Algebra, 1500-1800 (Berkeley
Calculus Reordered: A History of the Big Ideas. David M. Bressoud Episodes in the History of Modern Algebra (1800-1950) (History of Mathematics). Jeremy J.
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Calculus Reordered - De Gruyter
Calculus Reordered. A History of the Big A History of the Big Ideas. Bressoud, David REFLECTIONS ON THE TEACHING OF CALCULUS. Pages 186-195.
David Bressoud - Macalester College
David M. Bressoud. Books. Cover of Calculus Reordered Calculus Reordered: A History of the Big Ideas. Click HERE to see Table of Contents and Preface.
Calculus Reordered: A History of the Big Ideas | Department of
The standard order of the four big ideas of calculus—limits then derivatives then integrals then series—is historically and pedagogically problematic. Drawing on
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David M Bressoud is the author of Calculus Reordered (0.0 avg rating, 0 ratings, 0 reviews), Proofs and Calculus Reordered: A History of the Big Ideas.
Browse Princeton Catalog in Mathematics - History & Philosophy
Browse Princeton's Subjects (by Title) in Mathematics - History & Philosophy Calculus Reordered: A History of the Big Ideas: Bressoud, D. (Hardcover and
Bressoud, D.: Calculus Reordered: A History of the Big Ideas
David M. Bressoud. In describing calculus’s evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. David M. Bressoud is DeWitt Wallace Professor of Mathematics at Macalester College and Director of the
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