Brook Taylor and the method of increments

DOI10.1007/BF00329903zbMath0568.01011WikidataQ54269043 ScholiaQ54269043MaRDI QIDQ1060200

L. Feigenbaum

Publication date: 1985

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

zbMATH Keywords

differential equationsfinite-difference equationsTaylor seriesfinite incrementsfluxional equations

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of real functions (26-03)

Related Items (4)

The origins of Euler's variational calculus ⋮ Convergence and Formal Manipulation of Series from the Origins of Calculus to About 1730 ⋮ Joseph Louis Lagrange's algebraic vision of the calculus ⋮ James Gregorie on tangents and the ``Taylor rule for series expansions

Cites Work

• Patterns of mathematical thought in the later seventeenth century
• Differentials, higher-order differentials and the derivative in the Leibnizian calculus
• Der Mathematiker Abraham de Moivre (1667--1754)
• Die Taylorsche Formel bei Johann I. Bernoulli
• Memoirs of the Life, Writings, and Discoveries of Sir Isaac Newton
• Alexis Fontaine's integration of ordinary differential equations and the origins of the calculus of several variables
• Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
• XXIX. The difference of longitude between the Royal Observatory of Greenwich and Paris, determined by the observations of the transits of Mercury over the Sun in the years 1723, 1736, 1743, and 1753: By James Short, M.A. F. R. S
• Haley's Methods for Solving Equations
• Brook Taylor and the Mathematical Theory of Linear Perspective
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