A Treatise on Infinitesimal Calculus ... |
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Page viii
... application of the Integral Calculus to the Theory of Series , to the peculiarities of Periodic Series , and to the Calculus of Probabilities has been discussed at considerable length , although the higher parts of these subjects are ...
... application of the Integral Calculus to the Theory of Series , to the peculiarities of Periodic Series , and to the Calculus of Probabilities has been discussed at considerable length , although the higher parts of these subjects are ...
Page ix
... application that he gets an insight into the meaning of the processes ; and his view is even then obscured by an ... applications so large and so important as those of the Integral Calculus , such a method is unsatisfactory , not to say ...
... application that he gets an insight into the meaning of the processes ; and his view is even then obscured by an ... applications so large and so important as those of the Integral Calculus , such a method is unsatisfactory , not to say ...
Page xi
... application to other sub- ject - matter . Hence it is that the Definite Integrals of simple element - functions are investigated in the early part of the treatise from first principles , and it is only when I have rigorously proved in ...
... application to other sub- ject - matter . Hence it is that the Definite Integrals of simple element - functions are investigated in the early part of the treatise from first principles , and it is only when I have rigorously proved in ...
Page xviii
... application of the theorem 87. An extension of the theorem given in Art . 85 88. Theorems as to mean values of limits 91 92 93 94 .. 95 96 89 , 90. Consideration of the case wherein the element - function takes an infinite value for a ...
... application of the theorem 87. An extension of the theorem given in Art . 85 88. Theorems as to mean values of limits 91 92 93 94 .. 95 96 89 , 90. Consideration of the case wherein the element - function takes an infinite value for a ...
Page xix
... Application of the process to Mensuration 115. Approximation by means of known integrals 139 .. .. 141 142 .. .. 144 147 116. Approximate values given by the forms of definite integrals 147 117. Bernoulli's series for approximate value ...
... Application of the process to Mensuration 115. Approximation by means of known integrals 139 .. .. 141 142 .. .. 144 147 116. Approximate values given by the forms of definite integrals 147 117. Bernoulli's series for approximate value ...
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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