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...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English |
---|---|
VerfasserIn: | |
MitwirkendeR: | |
Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2019] ©2019 |
Year of Publication: | 2019 |
Language: | English |
Online Access: | |
Physical Description: | 1 online resource (242 p.) :; 74 b/w illus. 1 table. |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
LEADER | 05233nam a22007575i 4500 | ||
---|---|---|---|
001 | 9780691189161 | ||
003 | DE-B1597 | ||
005 | 20210830012106.0 | ||
006 | m|||||o||d|||||||| | ||
007 | cr || |||||||| | ||
008 | 210830t20192019nju fo d z eng d | ||
020 | |a 9780691189161 | ||
024 | 7 | |a 10.1515/9780691189161 |2 doi | |
035 | |a (DE-B1597)528399 | ||
035 | |a (OCoLC)1091029414 | ||
040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
041 | 0 | |a eng | |
044 | |a nju |c US-NJ | ||
050 | 4 | |a QA21 | |
072 | 7 | |a MAT005000 |2 bisacsh | |
082 | 0 | 4 | |a 510.9 |2 23 |
100 | 1 | |a Bressoud, David M., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Calculus Reordered : |b A History of the Big Ideas / |c David M. Bressoud. |
264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2019] | |
264 | 4 | |c ©2019 | |
300 | |a 1 online resource (242 p.) : |b 74 b/w illus. 1 table. | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
505 | 0 | 0 | |t Frontmatter -- |t A History of the Big Ideas -- |t Dedication -- |t Contents -- |t CHAPTER 1. ACCUMULATION -- |t CHAPTER 2. RATIOS OF CHANGE -- |t CHAPTER 3. SEQUENCES OF PARTIAL SUMS -- |t CHAPTER 4. THE ALGEBRA OF INEQUALITIES -- |t CHAPTER 5. ANALYSIS -- |t APPENDIX. REFLECTIONS ON THE TEACHING OF CALCULUS -- |t THE LAST WORD -- |t Notes -- |t Bibliography -- |t Index -- |t Image Credits |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |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 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. | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
650 | 0 | |a Calculus. | |
650 | 7 | |a MATHEMATICS / Calculus. |2 bisacsh | |
700 | 1 | |a Bressoud, David M., |e contributor. |4 ctb |4 https://id.loc.gov/vocabulary/relators/ctb | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2019 English |z 9783110610765 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2019 |z 9783110664232 |o ZDB-23-DGG |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2019 English |z 9783110610406 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2019 |z 9783110606362 |o ZDB-23-DMA |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press Complete eBook-Package 2019 |z 9783110663365 |
776 | 0 | |c print |z 9780691181318 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9780691189161?locatt=mode:legacy |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9780691189161 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/cover/covers/9780691189161.jpg |
912 | |a 978-3-11-061040-6 EBOOK PACKAGE Mathematics 2019 English |b 2019 | ||
912 | |a 978-3-11-061076-5 EBOOK PACKAGE COMPLETE 2019 English |b 2019 | ||
912 | |a 978-3-11-066336-5 Princeton University Press Complete eBook-Package 2019 |b 2019 | ||
912 | |a EBA_CL_MTPY | ||
912 | |a EBA_EBKALL | ||
912 | |a EBA_ECL_MTPY | ||
912 | |a EBA_EEBKALL | ||
912 | |a EBA_ESTMALL | ||
912 | |a EBA_PPALL | ||
912 | |a EBA_STMALL | ||
912 | |a GBV-deGruyter-alles | ||
912 | |a PDA12STME | ||
912 | |a PDA13ENGE | ||
912 | |a PDA18STMEE | ||
912 | |a PDA5EBK | ||
912 | |a ZDB-23-DGG |b 2019 | ||
912 | |a ZDB-23-DMA |b 2019 |