机读格式显示(MARC)
- 000 02961cam a2200349 i 4500
- 260 __ |a Princeton, New Jersey : |a Oxford ; |b Princeton University Press, |c 2019.
- 008 181030s2019 njua rb 001 0 eng d
- 020 __ |a 9780691181318: |c CNY331.73
- 035 __ |a (OCoLC)on1059262130
- 040 __ |a YDX |b eng |c YDX |e rda |d BDX |d OCLCQ |d ERASA |d APL |d KCC |d MAC
- 050 _4 |a QA303.2 |b .B7347 2019
- 100 1_ |a Bressoud, David M., |d 1950- |e author.
- 245 10 |a Calculus reordered : |b a history of the big ideas / |c David M. Bressoud.
- 246 30 |a History of the big ideas
- 300 __ |a xvi, 224 pages : |b illustrations ; |c 25 cm
- 336 __ |a text |b txt |2 rdacontent
- 337 __ |a unmediated |b n |2 rdamedia
- 338 __ |a volume |b nc |2 rdacarrier
- 504 __ |a Includes bibliographical references (pages 209-213) and index.
- 505 0_ |a 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.
- 520 8_ |a Calculus 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 _0 |a Calculus |v Popular works.
- 650 _0 |a Calculus |x History.
- 650 _0 |a Mathematics |x History.