A Treatise on the Calculus of Finite DifferencesMacmillan, 1860 - 248 sider |
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... Definitions , 65. Fundamental Proposition , 66. First derived Criterion , 69. Supplemental Criteria , 71. Exercises , 79 . CHAPTER VI . THE APPROXIMATE SUMMATION OF SERIES Development of Zu , 80. Bernoulli's Numbers , 83. Applications ...
... Definitions , 65. Fundamental Proposition , 66. First derived Criterion , 69. Supplemental Criteria , 71. Exercises , 79 . CHAPTER VI . THE APPROXIMATE SUMMATION OF SERIES Development of Zu , 80. Bernoulli's Numbers , 83. Applications ...
Side 1
... defined as the science which is occupied about the ratios of the simultaneous increments of quantities mutually dependent . The Differential Calculus is occupied about the limits to which such ratios approach as the increments are ...
... defined as the science which is occupied about the ratios of the simultaneous increments of quantities mutually dependent . The Differential Calculus is occupied about the limits to which such ratios approach as the increments are ...
Side 2
... defined either as the science of the laws of the operation △ , the value of Ax being supposed given , or as the science of A the laws of the operation In consequence of the funda- Ax mental difference above noted between the ...
... defined either as the science of the laws of the operation △ , the value of Ax being supposed given , or as the science of A the laws of the operation In consequence of the funda- Ax mental difference above noted between the ...
Side 3
... defined by the equation - convenience suggests consider the more Aux = Ux + 1 = Ux • But we shall where general operation Aux = Ax Ux + h h - Ux 2 where Ax = h . CHAPTER II . DIRECT THEOREMS OF FINITE DIFFERENCES . 1. 1-2 ART . 2. ] 3 ...
... defined by the equation - convenience suggests consider the more Aux = Ux + 1 = Ux • But we shall where general operation Aux = Ax Ux + h h - Ux 2 where Ax = h . CHAPTER II . DIRECT THEOREMS OF FINITE DIFFERENCES . 1. 1-2 ART . 2. ] 3 ...
Side 4
... subtractions in accordance with the definition of the symbol A , or calcu- lated from the general expressions for Au , Au , & c . by assign- ing to x the successive values 1 , 2 , ( 4 ) CHAPTER II DIRECT THEOREMS OF FINITE DIFFERENCES •
... subtractions in accordance with the definition of the symbol A , or calcu- lated from the general expressions for Au , Au , & c . by assign- ing to x the successive values 1 , 2 , ( 4 ) CHAPTER II DIRECT THEOREMS OF FINITE DIFFERENCES •
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A₁ A³u algebraic applying arbitrary constant ascending powers assume ax+b B₁ c₂ Calculus of Finite Cambridge CHARLES KINGSLEY cloth CO.'S PUBLICATIONS complete primitive CONIC SECTIONS convergent Crown 8vo curve deduce denoted determine Differential Calculus differential equation divergent English Notes equation of differences expression Fcap Fellow of St Finite Differences functional equation GEORGE BOOLE given equation Hence independent variable indirect integral John's College limit linear equation M.A. Second Edition MACMILLAN & CO.'S method mixed differences operation ordinates P. G. TAIT particular value periodical function rational and integral reduced result Schools second member Sermons shew singular solution substituting successive values supposed symbol theorem tion TODHUNTER Treatise Trinity College u₁ u₂ unity University of Cambridge Ux+1 Ux+2 v₂ Vx+1 Vx+2 whence Их
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