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 Mediterraneanespecially Syracuse in Sicily and Alexandria in Egyptas 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 orderwhich 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 inequalitiesmakes 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 Mediterraneanespecially Syracuse in Sicily and Alexandria in Egyptas 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 orderwhich 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 inequalitiesmakes 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 faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Calculusreorderedahistoryofthebigideas/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/Calculusreorderedahistoryofthebigideas/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>