Calculus Reordered: A History of the Big Ideas by David M. Bressoud (English) Ha

Description: Calculus Reordered by David M. Bressoud 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 changeCalculus 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 Bress FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher Description 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 changeCalculus 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 calculuss 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 calculuss 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 calculuss discovery, Calculus Reordered highlights how this essential tool of mathematics came to be. Author Biography David M. Bressoud is DeWitt Wallace Professor of Mathematics at Macalester College and Director of the Conference Board of the Mathematical Sciences. His many books include Second Year Calculus and A Radical Approach to Lebesgues Theory of Integration. He lives in St. Paul, Minnesota. Review "In an orderly sense, the writer introduces the context and then proceeds to state exactly what was the major draw back in the context during the relevant period of time. . . The progression, as well as the way in which he uses simple techniques to demolish towers of problems in the same sense as it was done back in the day is certainly worth appreciation." * Mathemafrica *"Any lover of mathematics will appreciate the time spent among these pages."---A. Misseldine, Choice"A great companion for students studying analysis, and calculus instructors will find it an enriching experience." * Mathematics Magazine *"I thoroughly enjoyed reading this accessible, insightful and well-written book."---Nick Lord, Mathematical Gazette Long Description 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 changeCalculus 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 calculuss 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 calculuss 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 calculuss discovery, Calculus Reordered highlights how this essential tool of mathematics came to be. Review Quote "This book presents a historical outline of the development of calculus through its four major ideas: accumulation, proportions of change, series, and tolerance. It shows teachers of the subject how they could adapt their curriculum to the historical order to make it more understandable to students. It will also be very useful for all those who want to learn about the origins and evolution of calculus." --Victor J. Katz, University of the District of Columbia Details ISBN0691181314 Author David M. Bressoud Publisher Princeton University Press Language English Year 2019 ISBN-10 0691181314 ISBN-13 9780691181318 Format Hardcover Imprint Princeton University Press Subtitle A History of the Big Ideas Place of Publication New Jersey Country of Publication United States Translated from English Publication Date 2019-07-16 Pages 242 DEWEY 515 Short Title Calculus Reordered UK Release Date 2019-07-16 NZ Release Date 2019-07-16 US Release Date 2019-07-16 Illustrations 74 b/w illus. 1 table. Audience Tertiary & Higher Education Alternative 9780691218786 AU Release Date 2019-09-23 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:124930667;

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