Calculus Reordered : : A History of the Big Ideas / / 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 evolv...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2019] ©2019 |
Year of Publication: | 2019 |
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Physical Description: | 1 online resource (242 p.) :; 74 b/w illus. 1 table. |
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Bressoud, David M., author. aut http://id.loc.gov/vocabulary/relators/aut Calculus Reordered : A History of the Big Ideas / David M. Bressoud. Princeton, NJ : Princeton University Press, [2019] ©2019 1 online resource (242 p.) : 74 b/w illus. 1 table. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- A History of the Big Ideas -- Dedication -- Contents -- 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Calculus. MATHEMATICS / Calculus. bisacsh Bressoud, David M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362 ZDB-23-DMA Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2019 9783110663365 print 9780691181318 https://doi.org/10.1515/9780691189161?locatt=mode:legacy https://www.degruyter.com/isbn/9780691189161 Cover https://www.degruyter.com/cover/covers/9780691189161.jpg |
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Bressoud, David M., Bressoud, David M., |
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Bressoud, David M., Bressoud, David M., Calculus Reordered : A History of the Big Ideas / Frontmatter -- A History of the Big Ideas -- Dedication -- Contents -- 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 |
author_facet |
Bressoud, David M., Bressoud, David M., Bressoud, David M., Bressoud, David M., |
author_variant |
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author2 |
Bressoud, David M., Bressoud, David M., |
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author_sort |
Bressoud, David M., |
title |
Calculus Reordered : A History of the Big Ideas / |
title_sub |
A History of the Big Ideas / |
title_full |
Calculus Reordered : A History of the Big Ideas / David M. Bressoud. |
title_fullStr |
Calculus Reordered : A History of the Big Ideas / David M. Bressoud. |
title_full_unstemmed |
Calculus Reordered : A History of the Big Ideas / David M. Bressoud. |
title_auth |
Calculus Reordered : A History of the Big Ideas / |
title_alt |
Frontmatter -- A History of the Big Ideas -- Dedication -- Contents -- 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 |
title_new |
Calculus Reordered : |
title_sort |
calculus reordered : a history of the big ideas / |
publisher |
Princeton University Press, |
publishDate |
2019 |
physical |
1 online resource (242 p.) : 74 b/w illus. 1 table. Issued also in print. |
contents |
Frontmatter -- A History of the Big Ideas -- Dedication -- Contents -- 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 |
isbn |
9780691189161 9783110610765 9783110664232 9783110610406 9783110606362 9783110663365 9780691181318 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA21 |
callnumber-sort |
QA 221 |
url |
https://doi.org/10.1515/9780691189161?locatt=mode:legacy https://www.degruyter.com/isbn/9780691189161 https://www.degruyter.com/cover/covers/9780691189161.jpg |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
510 - Mathematics |
dewey-full |
510.9 |
dewey-sort |
3510.9 |
dewey-raw |
510.9 |
dewey-search |
510.9 |
doi_str_mv |
10.1515/9780691189161?locatt=mode:legacy |
oclc_num |
1091029414 |
work_keys_str_mv |
AT bressouddavidm calculusreorderedahistoryofthebigideas |
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ids_txt_mv |
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Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2019 |
is_hierarchy_title |
Calculus Reordered : A History of the Big Ideas / |
container_title |
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English |
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