Online downloads of books Calculus Reordered: A History of the Big Ideas

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 eBook

Online downloads of books Calculus Reordered: A History of the Big Ideas

Overview

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.

More eBooks:
Ebooks portal download Modern Assembly Language Programming with the ARM Processor site,
Free ebook free download The Girl in the Letter by Emily Gunnis DJVU read book,
Download free Flaps and Reconstructive Surgery (English Edition) download pdf,
Free books downloads for ipad Make Ink: A Forager's Guide to Natural Inkmaking download pdf,
Download free books for iphone 3gs The Poison Jungle (English literature) by Tui T. Sutherland 9781338214512 DJVU RTF MOBI read pdf,
Download ebook for ipod Dog Diaries #14: Sunny read pdf,
Free ebook download ipod The Collected Schizophrenias download pdf,
English book pdf download Permafrost FB2 RTF PDB link,
Free audio books in spanish to download El Club de las 5 de la manana: Controla tus mananas, impulsa tu vida / The 5 a.m. Club by Robin Sharma read pdf,