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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780691218786 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
510.9 |
Item number |
BRE |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Bressoud, David M. |
245 ## - TITLE STATEMENT |
Title |
Calculus reordered : a history of the big ideas |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Name of publisher, distributor, etc |
Princeton University Press, |
Place of publication, distribution, etc |
Princeton : |
Date of publication, distribution, etc |
2019 |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xvi, 224 p. ; |
Other physical details |
ill., (b & w), |
Dimensions |
24 cm |
365 ## - TRADE PRICE |
Price amount |
20.95 |
Price type code |
$ |
Unit of pricing |
86.50 |
490 ## - SERIES STATEMENT |
Series statement |
EBSCOhost ebooks online |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Calculus Popular works |
|
Topical term or geographic name as entry element |
Calculus’s evolution |
|
Topical term or geographic name as entry element |
Ratios of change |
|
Topical term or geographic name as entry element |
Sequences of partial sums |
|
Topical term or geographic name as entry element |
Accumulation |
|
Topical term or geographic name as entry element |
History Of Science |
|
Topical term or geographic name as entry element |
Education |
|
Topical term or geographic name as entry element |
Teaching |
|
Topical term or geographic name as entry element |
Isaac Newton |
|
Topical term or geographic name as entry element |
Gottfried Leibniz |
|
Topical term or geographic name as entry element |
Galileo Galilei |
|
Topical term or geographic name as entry element |
Elliptic function |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
Books |