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The Resource Calculus reordered : a history of the big ideas, David M. Bressoud

Calculus reordered : a history of the big ideas, David M. Bressoud

Label
Calculus reordered : a history of the big ideas
Title
Calculus reordered
Title remainder
a history of the big ideas
Statement of responsibility
David M. Bressoud
Creator
Author
Subject
Genre
Language
eng
Summary
"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."--Dust jacket
Cataloging source
YDX
http://library.link/vocab/creatorDate
1950-
http://library.link/vocab/creatorName
Bressoud, David M.
Dewey number
515.1
Illustrations
  • illustrations
  • portraits
Index
index present
LC call number
QA303.2
LC item number
.B74 2019
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • Calculus
  • Calculus
  • Mathematics
  • Calculus
  • Mathematics
  • Analysis
  • Calculus
  • Cálculo
  • Calculus
  • Cálculo
Label
Calculus reordered : a history of the big ideas, David M. Bressoud
Instantiates
Publication
Copyright
Bibliography note
Includes bibliographical references (pages [209]-213) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Chapter 5.
  • Analysis
  • Appendix.
  • Reflections on the teaching of calculus
  • The last word
  • Chapter 1.
  • Accumulation
  • Chapter 2.
  • Ratios of change
  • Chapter 3.
  • Sequences of partial sums
  • Chapter 4.
  • The algebra of inequalities
Control code
1059262130
Dimensions
25 cm
Extent
xvi, 224 pages
Isbn
9780691181318
Lccn
2018957493
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations, portraits
System control number
(OCoLC)1059262130
Label
Calculus reordered : a history of the big ideas, David M. Bressoud
Publication
Copyright
Bibliography note
Includes bibliographical references (pages [209]-213) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Chapter 5.
  • Analysis
  • Appendix.
  • Reflections on the teaching of calculus
  • The last word
  • Chapter 1.
  • Accumulation
  • Chapter 2.
  • Ratios of change
  • Chapter 3.
  • Sequences of partial sums
  • Chapter 4.
  • The algebra of inequalities
Control code
1059262130
Dimensions
25 cm
Extent
xvi, 224 pages
Isbn
9780691181318
Lccn
2018957493
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations, portraits
System control number
(OCoLC)1059262130

Library Locations

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      38.944491 -92.326012
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