Mathematics Atlas

How Proof Is Made
Mathematicians

John Napier

Early Modern

Citation Formats

General Reference

APA Style

BibTeX

John Napier (1550-1617) was a Scottish landowner and mathematician best known as the discoverer of logarithms, published in 1614 in his Mirifici Logarithmorum Canonis Descriptio. His new method let astronomers and navigators replace laborious multiplication and division with simple addition and subtraction, and it spread quickly across Europe. Napier also invented Napier's bones, a manual calculating device, devised formulas for solving spherical triangles known as Napier's analogies, and helped popularize the decimal point as a separator between the whole and fractional parts of a number. Priority for the underlying idea of logarithms is genuinely contested: the Swiss instrument maker Jost Burgi had independently developed a functionally similar table of progressions by around 1600, using a distinct method, but did not publish it until 1620, six years after Napier's book had already circulated through Europe.

Facts
Birth Date
1550-02-01 1
Birth Year
1550 1
Death Date
1617-04-04 1
Death Year
1617 1
Birthplace
Merchiston Castle, Edinburgh, Kingdom of Scotland 1
Death Place
Edinburgh, Kingdom of Scotland 1
Nationality / Culture
Scottish 1
Defining Contribution
Improved Simon Stevin's decimal notation by introducing the full stop as the delimiter between the whole and fractional parts of a number. 1
Defining Contribution
Invented Napier's bones, a set of numbered rods for mechanically carrying out multiplication and division, and devised Napier's analogies for solving spherical triangles. 2
Defining Contribution
The Swiss instrument maker Jost Burgi had independently constructed a table of progressions serving the same computational purpose, by a distinct method, around 1600, but published it only in 1620 at Johannes Kepler's urging, six years after Napier. 3
Notable Work
Mirifici Logarithmorum Canonis Descriptio (1614) 1
Disputed
Defining Contribution
Discovered logarithms and published the first account of them in 1614 as Mirifici Logarithmorum Canonis Descriptio, replacing laborious multiplication and division in astronomical and navigational calculation with addition and subtraction. 1
Napier's 1614 publication is conventionally credited as the origin of logarithms; see the dissent recorded against this fact for Jost Burgi's independent, later-published claim.
Cross-Tradition Connections

Associated With

Logarithm, Concepts

Why this is disputed. Napier published the first account of logarithms in 1614. Jost Burgi developed an independent, differently-derived table of progressions around 1600 but did not publish until 1620, so historians differ on how the underlying priority should be weighed even though Napier's earlier publication is the one conventionally credited.

Sources
1. John Napier (Wikipedia)
Wikimedia FoundationLead section, Mathematics section
Quote, Lead section, Mathematics section
Napier is best known as the discoverer of logarithms.
View the Source
1. John Napier (Wikipedia)
Wikimedia FoundationInfobox
Quote, Infobox
Died 4 April 1617(1617-04-04) (aged 67) Edinburgh, Kingdom of Scotland
View the Source
1. John Napier (Wikipedia)
Wikimedia FoundationMathematics section
Quote, Mathematics section
Napier improved Simon Stevin's decimal notation, introducing the full stop (.) as the delimiter for the fractional part.
View the Source
1. John Napier (Wikipedia)
Wikimedia FoundationInfobox, birth date line
Quote, Infobox, birth date line
Born (1550-02-01)1 February 1550 Edinburgh, Kingdom of Scotland
View the Source
2. John Napier, Biography (MacTutor History of Mathematics)
MacTutor History of Mathematics Archive, University of St AndrewsLater life sectionView the Source
3. Jost Burgi (Wikipedia)
Wikimedia FoundationBurgi as a mathematician section
Quote, Burgi as a mathematician section
Burgi constructed a table of progressions of what are now understood as antilogarithms (exponential functions) independently of John Napier, through a method distinct from Napier's.
View the Source
Dissenting Readings (1 dissenting reading)
Defining Contribution

Jost Burgi, a Swiss instrument and clock maker, had independently constructed a table of progressions functioning as antilogarithms by around 1600, using a method distinct from Napier's, before Napier's own work was known to him. Because Burgi did not publish his method (Arithmetische und geometrische Progress-Tabulen) until 1620, six years after Napier's 1614 Mirifici Logarithmorum Canonis Descriptio had already circulated through Europe, conventional accounts credit Napier as the discoverer of logarithms. Some historians of mathematics hold that Burgi's work, completed independently and arguably earlier, deserves to be weighed alongside Napier's in any account of who first discovered logarithms, rather than treating Napier's priority as settled.

A dissenting reading, from Historians crediting Jost Burgi's independent priorityJost Burgi (Wikipedia), Wikimedia Foundation
Comments (0)
No comments yet. Be the first to share a thought.
Reader Challenges (0 open reader challenges)
No disputes yet. Spotted an error or a better source? Open the first one.

View At A Past Year

The atlas records no dated fact of its own for this entry, so there is no other year to choose.