A Treatise on Infinitesimal Calculus ... |
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Page xx
... SUCCESSIVE INTEGRATION OF AN EXPLICIT FUNCTION OF ONE VARIABLE . 149. The explanation of the problem 191 150. The complete nth integral requires n constants 191 151-153 . The calculus of operations applied to successive inte- gration ...
... SUCCESSIVE INTEGRATION OF AN EXPLICIT FUNCTION OF ONE VARIABLE . 149. The explanation of the problem 191 150. The complete nth integral requires n constants 191 151-153 . The calculus of operations applied to successive inte- gration ...
Page xxxiv
... successive powers of a binomial 460. Integration of a linear differential equation , whose co- efficients are simple binomials .. .. 461. Examples of the process : Riccati's equation .. 651 652 654 SECTION 5. - Differential Equations of ...
... successive powers of a binomial 460. Integration of a linear differential equation , whose co- efficients are simple binomials .. .. 461. Examples of the process : Riccati's equation .. 651 652 654 SECTION 5. - Differential Equations of ...
Page xxxv
... successive powers of a binomial SECTION 2. - The Solution of Partial Differential Equations by Symbolical Methods . 475. The process applied to equations which have constant co- efficients .. 476. The application to equations which have ...
... successive powers of a binomial SECTION 2. - The Solution of Partial Differential Equations by Symbolical Methods . 475. The process applied to equations which have constant co- efficients .. 476. The application to equations which have ...
Page 1
... successive terms of the series . Thus , f ( x ) dx , f ( x , y ) dxdy , ............ .. may be general terms of such a series ; and the successive terms will be given by means of the continuous variations of the variables . These are ...
... successive terms of the series . Thus , f ( x ) dx , f ( x , y ) dxdy , ............ .. may be general terms of such a series ; and the successive terms will be given by means of the continuous variations of the variables . These are ...
Page 3
... successively- increased values . From another point of view however the effect of such a process is , to resolve the finite gnomonic area OR - OR into infinitesimal elements , which are infinitesimal gnomons , each being of the form ...
... successively- increased values . From another point of view however the effect of such a process is , to resolve the finite gnomonic area OR - OR into infinitesimal elements , which are infinitesimal gnomons , each being of the form ...
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A Treatise on Infinitesimal Calculus: Containing Differential and Integral ... Bartholomew Price No preview available - 2015 |
Common terms and phrases
a₁ a₂ angle application axis Beta-function bx dx consequently convergent series coordinates cosec cx² cycloid definite integral denoted determined differential double integral dx a² dx dx dx dy dx Ex dx² dy dx dy² e-ax element-function ellipse equal evaluation expressed find the area finite and continuous fraction function Gamma-function geometrical given Hence infinite infinitesimal infinitesimal element Integral Calculus intrinsic equation involute left-hand member length let us suppose limits of integration multiple integrals plane curve polar coordinates preceding proper fraction radius range of integration replaced result right-hand member subject-variable substituting surface symbols theorem tion values variable x-integration x₁ x²)¹ x²)³ αξ πα