| 000 | nam a22 4500 | ||
|---|---|---|---|
| 999 |
_c32765 _d32765 |
||
| 008 | 240216b xxu||||| |||| 00| 0 eng d | ||
| 020 | _a9780691218786 | ||
| 082 |
_a510.9 _bBRE |
||
| 100 | _aBressoud, David M. | ||
| 245 | _aCalculus reordered : a history of the big ideas | ||
| 260 |
_bPrinceton University Press, _aPrinceton : _c2019 |
||
| 300 |
_axvi, 224 p. ; _bill., (b & w), _c24 cm |
||
| 365 |
_b20.95 _c$ _d86.50 |
||
| 490 | _aEBSCOhost ebooks online | ||
| 504 | _aIncludes bibliographical references and index. | ||
| 520 | _aCalculus 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 Mediterranean--especially Syracuse in Sicily and Alexandria in 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 instead that the historical order--which 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 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. | ||
| 650 | _aCalculus Popular works | ||
| 650 | _aCalculus’s evolution | ||
| 650 | _aRatios of change | ||
| 650 | _aSequences of partial sums | ||
| 650 | _aAccumulation | ||
| 650 | _aHistory Of Science | ||
| 650 | _aEducation | ||
| 650 | _aTeaching | ||
| 650 | _aIsaac Newton | ||
| 650 | _aGottfried Leibniz | ||
| 650 | _aGalileo Galilei | ||
| 650 | _aElliptic function | ||
| 942 |
_2ddc _cBK |
||