Brook Taylor was an English mathematician who added to mathematics a new branch now called the calculus of finite differences, invented integration by parts, and discovered the celebrated formula known as Taylor's expansion. He was born in Edmonton, Middlesex on 18 August 1685 into a fairly wealthy family on the fringes of the nobility, grew up as an accomplished musician and painter, and died at Somerset House in London on 29 December 1731. Taylor's theorem, which approximates a smooth function near a point by a polynomial built from its derivatives, is credited to him.
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Source Brook Taylor, Biography (MacTutor History of Mathematics)
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Source Taylor's Theorem (Wikipedia)
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Source Brook Taylor, Biography (MacTutor History of Mathematics)SummaryQuote, Summary
Brook Taylor was an English mathematician who added to mathematics a new branch now called the 'calculus of finite differences', invented integration by parts, and discovered the celebrated formula known as Taylor's expansion.
Sources
1. Brook Taylor, Biography (MacTutor History of Mathematics)
SummaryQuote, Summary
Brook Taylor was an English mathematician who added to mathematics a new branch now called the 'calculus of finite differences', invented integration by parts, and discovered the celebrated formula known as Taylor's expansion.
Taylor's Theorem (Wikipedia)
Wikimedia FoundationProofs Credited: Taylor's Theorem, LeadQuote, Proofs Credited: Taylor's Theorem, Lead
Taylor's theorem is named after Brook Taylor, who stated a version of it in 1715, although an earlier version of the result was already mentioned in 1671 by James Gregory.
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