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| 11. |
Hermite interpolation of analytic functions |
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International Journal of Mathematical Education in Science and Technology,
Volume 17,
Issue 5,
1986,
Page 617-621
John Klippert,
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PDF (193KB)
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摘要:
We derive a Hermite interpolation formula with remainder for a function analytic on a disk. Given such a function,f, and given a preassigned matrix of nodesZ(all such nodes being in a certain closed subdisk), we show that the sequence of Hermite interpolation polynomials forfassociated withZconverges uniformily tofon the closed subdisk.
ISSN:0020-739X
DOI:10.1080/0020739860170511
出版商:Taylor & Francis Group
年代:1986
数据来源: Taylor
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| 12. |
Discovering the cosine law via calculus |
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International Journal of Mathematical Education in Science and Technology,
Volume 17,
Issue 5,
1986,
Page 623-658
DavidE. Dobbs,
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PDF (1361KB)
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摘要:
Heuristic arguments are given to explain the presence of the term ‐‐2bccos a in the cosine law. The arguments presuppose the sine law and Pythagoras's theorem. The explanation hinges on the mean value theorem of differential calculus, since the triangle in question is viewed as resulting from a perturbation of a suitable right triangle.
ISSN:0020-739X
DOI:10.1080/0020739860170512
出版商:Taylor & Francis Group
年代:1986
数据来源: Taylor
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