The Mathematical Writings of Duncan Farquharson Gregory |
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Page vii
... Symbols to Geometry 150 On the Symmetrical Form of the Equation to the Parabola 163 On the Failure of Formulæ in the Inverse Processes of the Differential Calculus 168 Mathematical Note 173 On the Sympathy of Pendulums . 175 On the ...
... Symbols to Geometry 150 On the Symmetrical Form of the Equation to the Parabola 163 On the Failure of Formulæ in the Inverse Processes of the Differential Calculus 168 Mathematical Note 173 On the Sympathy of Pendulums . 175 On the ...
Page xiv
... symbols . It may be well to say a few words of the history of this part of mathematics . One of the first results of the differential notation of Leibnitz , was the recognition of the analogy of differentials and powers . For instance ...
... symbols . It may be well to say a few words of the history of this part of mathematics . One of the first results of the differential notation of Leibnitz , was the recognition of the analogy of differentials and powers . For instance ...
Page xv
... symbol of differentiation and the dx ordinary symbols of algebra . And it was not long afterwards remarked that a corresponding analogy existed between the latter class of symbols and that which is peculiar to the calculus of finite ...
... symbol of differentiation and the dx ordinary symbols of algebra . And it was not long afterwards remarked that a corresponding analogy existed between the latter class of symbols and that which is peculiar to the calculus of finite ...
Page xvi
... symbols , and for those peculiar to the higher branches of mathematics , then each alge- braical theorem , and its analogue constitute , in fact , only one and the same theorem , except quoad their distinctive interpretations , and ...
... symbols , and for those peculiar to the higher branches of mathematics , then each alge- braical theorem , and its analogue constitute , in fact , only one and the same theorem , except quoad their distinctive interpretations , and ...
Page xvii
... symbols already noticed , deduced in a regular and systematic form , methods of solution of a large and important class of differential equations ( linear equations with con- stant coefficients , whether ordinary or partial ) of systems ...
... symbols already noticed , deduced in a regular and systematic form , methods of solution of a large and important class of differential equations ( linear equations with con- stant coefficients , whether ordinary or partial ) of systems ...
Other editions - View all
The Mathematical Writings of Duncan Farquharson Gregory (Classic Reprint) Duncan Farquharson Gregory No preview available - 2019 |
The Mathematical Writings of Duncan Farquharson Gregory William Walton,Robert Leslie Ellis,Duncan Farquharson Gregory No preview available - 2015 |
Common terms and phrases
a₁ applied arbitrary constants arithmetical asymptotes axis becomes binomial theorem C₁ Cambridge Mathematical Journal centre coefficients commutative commutative operations conic section consider cosine cosne curve determine Differential Calculus differential equations dt² dx dx dx dy dx² dy² Edition equal expression factor Finite Differences fraction functional equation geometrical given Hence infinite integral intersection inverse operation John Herschel laws of combination linear logarithms maxima and minima method motion multiplying negative original P₁ parabola pendulum perpendicular plane of xy point of suspension principles quantity represent residue result right angles roots sides singular point solution subtraction suppose surface symbols of operation tangent Taylor's theorem term theory tion triangle u₂ values variables whence