The Resource Calculus reordered : a history of the big ideas, David M. Bressoud
Calculus reordered : a history of the big ideas, David M. Bressoud
Resource Information
The item Calculus reordered : a history of the big ideas, David M. Bressoud represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Calculus reordered : a history of the big ideas, David M. Bressoud represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- xvi, 224 pages
- 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
- Isbn
- 9780691181318
- 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
- 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
- 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
- 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Calculus-reordered--a-history-of-the-big-ideas/O8jFqaJMxb8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Calculus-reordered--a-history-of-the-big-ideas/O8jFqaJMxb8/">Calculus reordered : a history of the big ideas, David M. Bressoud</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
