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Calculus reordered :a history of the...

Bressoud, David M., (1950-)

Calculus reordered :a history of the big ideas /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Calculus reordered :David M. Bressoud.
其他題名:	a history of the big ideas /
作者:	Bressoud, David M.,
面頁冊數:	1 online resource (243 p.)
標題:	Calculus.
電子資源:	https://portal.igpublish.com/iglibrary/search/PUPB0006960.html
ISBN:	9780691181318

Calculus reordered :a history of the big ideas /
Bressoud, David M.,1950-

Calculus reordered :a history of the big ideas /David M. Bressoud. - 1 online resource (243 p.)

Includes bibliographical references and index.

Calculus reordered: a history of the big ideas -- Dedication -- Contents -- Preface -- Chapter 1. Accumulation -- Chapter 2. Ratios of Change -- Chapter 3. Sequences of Partial Sums -- Chapter 4. The Algebra of Inequalities -- Chapter 5. Analysis -- Appendix. Reflections on the Teaching of Calculus -- The Last Word -- Notes -- Bibliography -- Index -- Image Credits.

How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus pedagogy needs to change Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, 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 represents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus’s birth in the Hellenistic Eastern Mediterranean--particularly in Syracuse, Sicily and Alexandria, 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 that the historical order--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.

Mode of access: World Wide Web.

ISBN: 9780691181318Subjects--Topical Terms:

183091
Calculus.
Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA303.2

Dewey Class. No.: 509

Calculus reordered :a history of the big ideas /
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520 3 $a How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus pedagogy needs to change Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, 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 represents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus’s birth in the Hellenistic Eastern Mediterranean--particularly in Syracuse, Sicily and Alexandria, 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 that the historical order--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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