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200 10$aThomas Harriot's Doctrine of Triangular Numbers: the 'Magisteria Magna'$b[electronic resource] /$fJanet Beery, Jacqueline Stedall
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2008
215   $a1 online resource (144 pages)
225 0 $aHeritage of European Mathematics (HEM) ;$x2523-5214
330   $aThomas Harriot (c.?1560-1621) was a mathematician and astronomer, known   not only for his work in algebra and geometry, but also for his   wide-ranging interests in ballistics, navigation, and optics (he   discovered the sine law of refraction now known as Snell's law).      By about 1614, Harriot had developed finite difference interpolation  methods for navigational tables. In 1618 (or slightly later) he composed  a treatise entitled 'De numeris triangularibus et inde de  progressionibus arithmeticis, Magisteria magna', in which he derived  symbolic interpolation formulae and showed how to use them. This  treatise was never published and is here reproduced for the first time.  Commentary has been added to help the reader to follow Harriot's  beautiful but almost completely nonverbal presentation. The introductory  essay preceding the treatise gives an overview of the contents of the  'Magisteria' and describes its influence on Harriot's contemporaries and  successors over the next sixty years. Harriot's method was not  superseded until Newton, apparently independently, made a similar  discovery in the 1660s. The ideas in the 'Magisteria' were spread  primarily through personal communication and unpublished manuscripts,  and so, quite apart from their intrinsic mathematical interest, their  survival in England during the seventeenth century provides an important  case study in the dissemination of mathematics through informal networks  of friends and acquaintances.
517   $aThomas Harriot's Doctrine of Triangular Numbers
517   $aThomas Harriot's Doctrine of Triangular Numbers
517   $aThomas Harriot?s Doctrine of Triangular Numbers
606   $aHistory of mathematics$2bicssc
606   $aHistory and biography$2msc
615 07$aHistory of mathematics
615 07$aHistory and biography
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700   $aBeery$b Janet$01070775
702   $aStedall$b Jacqueline
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