Calculus Reordered

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Algebra
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Basel problem
Bernhard Riemann
Calculation
Cardinality
Cartesian coordinate system
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Cauchy sequence
Circumference
Coefficient
Complex plane
Continuous function
Continuum hypothesis
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Derivative
Differential calculus
Differential equation
Elliptic function
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Equation
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Geometry
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Infinitesimal
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Interval (mathematics)
Isaac Barrow
Jacob Bernoulli
Karl Weierstrass
Language_English
Lebesgue integration
Logarithm
Mathematician
Mathematics
Maxima and minima
Mean value theorem
Natural logarithm
Natural number
Newton's method
Notation
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Partial differential equation
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Ratio test
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Taylor series
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Product details

  • ISBN 9780691218786
  • Dimensions: 156 x 235mm
  • Publication Date: 04 May 2021
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Paperback
  • Language: English
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A look at how calculus has evolved over hundreds of years and why calculus pedagogy needs to change

Calculus Reordered tells the remarkable story of how calculus grew over centuries into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, how it was shaped by Italian philosophers such as Galileo Galilei, and how its current structure sprang from developments in the nineteenth century. Bressoud reveals problems with the standard ordering of its curriculum—limits, differentiation, integration, and series—and he argues that a pedagogy informed by the historical evolution of calculus represents a sounder way for students to learn this fascinating area of mathematics. From calculus’s birth in the Hellenistic Eastern Mediterranean, India, and the Islamic Middle East, to its contemporary iteration, Calculus Reordered highlights the ways this essential tool of mathematics came to be.

David M. Bressoud is DeWitt Wallace Professor Emeritus at Macalester College and Director of the Conference Board of the Mathematical Sciences. His many books include Second Year Calculus. Twitter @dbressoud

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