Calculus reordered : a history of the big ideas
(Book)

Book Cover
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Published
Princeton, New Jersey : Princeton University Press, [2019].
Status
Shirlington - Adult Nonfiction
515 BRESS
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Shirlington - Adult Nonfiction515 BRESSAvailable

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Published
Princeton, New Jersey : Princeton University Press, [2019].
Format
Book
Physical Desc
xvi, 224 pages : illustrations ; 25 cm
Language
English

Notes

Bibliography
Includes bibliographical references (pages 209-213) and index.
Description
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.

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Citations

APA Citation, 7th Edition (style guide)

Bressoud, D. M. (2019). Calculus reordered: a history of the big ideas . Princeton University Press.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

Bressoud, David M., 1950-. 2019. Calculus Reordered: A History of the Big Ideas. Princeton University Press.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

Bressoud, David M., 1950-. Calculus Reordered: A History of the Big Ideas Princeton University Press, 2019.

MLA Citation, 9th Edition (style guide)

Bressoud, David M. Calculus Reordered: A History of the Big Ideas Princeton University Press, 2019.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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