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Calculus Reordered: A History of the Big Ideas

Autor David M. Bressoud

Editorial PRINCETON UNIVERSITY PRESS

Calculus Reordered: A History of the Big Ideas
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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 r...

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  • Editorial PRINCETON UNIVERSITY PRESS
  • ISBN13 9780691181318
  • ISBN10 0691181314
  • Tipo LIBRO
  • Páginas 248
  • Año de Edición 2019
  • Idioma Inglés
  • Encuadernación Tapa dura

Calculus Reordered: A History of the Big Ideas

Autor David M. Bressoud

Editorial PRINCETON UNIVERSITY PRESS

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 r...

-5% dto.    32,00€
30,40€
Ahorra 1,60€
No disponible, consulte disponibilidad
Envío gratis
España peninsular

Detalles del libro

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 grew to what we know today. David Bressoud explains why calculus is credited to Isaac Newton and Gottfried Leibniz in the seventeenth century, 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 presents a sounder way for students to learn this fascinating area of mathematics.

Delving into calculus?s birth in the Hellenistic Eastern Mediterranean?especially Syracuse in Sicily and Alexandria in 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 instead that the historical order?which follows first 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.

David M. Bressoud is DeWitt Wallace Professor of Mathematics at Macalester College and Director of the Conference Board of the Mathematical Sciences. His many books include Second Year Calculus and A Radical Approach to Lebesgue?s Theory of Integration. He lives in St. Paul, Minnesota.

 










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