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Thomas Harriot's Doctrine of Triangu...

Beery, Janet,

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Thomas Harriot's Doctrine of Triangular Numbers: the 'Magisteria Magna'

Record Type:	Electronic resources : Monograph/item
Title/Author:	Thomas Harriot's Doctrine of Triangular Numbers: the 'Magisteria Magna'/ Janet Beery, Jacqueline Stedall
Author:	Beery, Janet,
other author:	Stedall, Jacqueline,
Published:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2008,
Description:	1 online resource (144 pages)
Subject:	History of mathematics -
Online resource:	https://doi.org/10.4171/059
Online resource:	https://www.ems-ph.org/img/books/harriot_mini.jpg
ISBN:	9783037195598

Thomas Harriot's Doctrine of Triangular Numbers: the 'Magisteria Magna'
Beery, Janet,

Thomas Harriot's Doctrine of Triangular Numbers: the 'Magisteria Magna'[electronic resource] /Janet Beery, Jacqueline Stedall - Zuerich, Switzerland :European Mathematical Society Publishing House,2008 - 1 online resource (144 pages) - Heritage of European Mathematics (HEM) ;2523-5214.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

Thomas 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 Harriot's method was not superseded until Newton, apparently independently, made a similar discovery in the 1660s. The ideas in the 'Magisteria' were spread primarily through personal communication and unpublished manuscripts, and so, quite apart from their intrinsic mathematical interest, their survival in England during the seventeenth century provides an important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.

ISBN: 9783037195598

Standard No.: 10.4171/059doiSubjects--Topical Terms:

3480938
History of mathematics

Thomas Harriot's Doctrine of Triangular Numbers: the 'Magisteria Magna'
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