Background
John Landen was born at Peakirk, near Peterborough in Northamptonshire, on 28 January 1719.
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(The Residual Analysis - A New Branch of the Algebraic Art...)
The Residual Analysis - A New Branch of the Algebraic Art, of Very Extensive Use, Both in Pure Mathematics and Natural Philosophy is an unchanged, high-quality reprint of the original edition of 1764. Hansebooks is editor of the literature on different topic areas such as research and science, travel and expeditions, cooking and nutrition, medicine, and other genres.As a publisher we focus on the preservation of historical literature.Many works of historical writers and scientists are available today as antiques only. Hansebooks newly publishes these books and contributes to the preservation of literature which has become rare and historical knowledge for the future.
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John Landen was born at Peakirk, near Peterborough in Northamptonshire, on 28 January 1719.
John Landen was brought up to the business of a surveyor, and acted as land agent to Earl Fitzwilliam, from 1762 to 1788. Cultivating mathematics during his leisure hours, he became a contributor to the Ladies" Diary in 1744, published Mathematical Lucubrations in 1755, and from 1754 onwards communicated to the Royal Society valuable investigations on points connected with the fluxionary calculus. His attempt to substitute for it a purely algebraical method, expounded in book i. of Residual Analysis was further prosecuted by Lagrange.
Book ii. never appeared.
Landen"s transformation, for expressing a hyperbolic arc in terms of two elliptic arcs, was inserted in the Philosophical Transactions for 1775, and specimens of its use were given in the first volume of his ‘Mathematical Memoirs (1780). In the same work he solved the problem of the spinning of a top, and explained Newton"s error in calculating the effects of precession.
Though foreigners gave him a high rank among English analysts, he failed to develop and combine his discoveries. He led a retired life, chiefly at Walton in Northamptonshire.
(The Residual Analysis - A New Branch of the Algebraic Art...)
(This book was originally published prior to 1923, and rep...)
In a paper on rotary motion laid before the Royal Society on 17 March 1785 John Landen obtained results differing from those of Euler and Doctorate"Alembert, and defending them in the second volume of Mathematical Memoirs prepared for the press during the intervals of a painful disease, and placed in his hands, printed, the day before his death at Milton, near Peterborough, the seat of the Earl Fitzwilliam on 15 January 1790.
fellow