
Free download ebooks on j2me Calculus Reordered: A History of the Big Ideas by David M. Bressoud
Calculus Reordered: A History of the Big Ideas by David M. Bressoud
 Calculus Reordered: A History of the Big Ideas
 David M. Bressoud
 Page: 242
 Format: pdf, ePub, mobi, fb2
 ISBN: 9780691181318
 Publisher: Princeton University Press
Download Calculus Reordered: A History of the Big Ideas
Free download ebooks on j2me Calculus Reordered: A History of the Big Ideas 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 seventeenthcentury 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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Bressoud Calculus Reordered book cover Bressoud argues that a pedagogy informed by the historical development of calculus presents a Math Makers: The Lives and Works of 50 Famous Mathematicians
This entertaining history of mathematics chronicles those achievements through fifty short biographies that Calculus Reordered: A History of the Big Ideas. Calculus Volume 1  Open Textbook Library
Calculus Volume 1. (9 reviews). Gilbert Strang, MIT. Edwin Herman, University of WisconsinStevens Point. Pub Date: 2016. ISBN 13: 9781938168024. Heretical Verities: Mathematical Themes in Physical Description by
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