A Treatise on Infinitesimal Calculus ... |
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Page xi
... infinite number of the former . And this is undoubtedly the process , and the only intelligible process , of determining the finite results of an ever - varying law : it is , I assert , on the notion of Infinitesimals only , that the ...
... infinite number of the former . And this is undoubtedly the process , and the only intelligible process , of determining the finite results of an ever - varying law : it is , I assert , on the notion of Infinitesimals only , that the ...
Page xviii
... infinite value for a value of the variable be- tween the limits .. 91. Cauchy's principal value of a definite integral 98 101 102 .. 92. Apparent anomalies removed by the correct theory of definite integration .. SECTION 3. - The ...
... infinite value for a value of the variable be- tween the limits .. 91. Cauchy's principal value of a definite integral 98 101 102 .. 92. Apparent anomalies removed by the correct theory of definite integration .. SECTION 3. - The ...
Page xxii
... infinite .. 241 244 183. Examples of the criterion given in the preceding article 243 184. On comparable and incomparable series 185-188 . Tests of convergence and divergence of series derived from the comparison of series with known ...
... infinite .. 241 244 183. Examples of the criterion given in the preceding article 243 184. On comparable and incomparable series 185-188 . Tests of convergence and divergence of series derived from the comparison of series with known ...
Page xxv
... MEAN VALUES . SECTION 1. - On the Calculus of Probabilities . 264. Elementary principles and definitions of the Calculus of Probabilities d 366 265. The problem of probabilities for which infinite summation is OF CONTENTS . XXV.
... MEAN VALUES . SECTION 1. - On the Calculus of Probabilities . 264. Elementary principles and definitions of the Calculus of Probabilities d 366 265. The problem of probabilities for which infinite summation is OF CONTENTS . XXV.
Page xxvi
Bartholomew Price. 265. The problem of probabilities for which infinite summation is required . Examples of the problem 367 266. Examples of similar problems for which integration is re- quired .. 370 267. On combination of possible ...
Bartholomew Price. 265. The problem of probabilities for which infinite summation is required . Examples of the problem 367 266. Examples of similar problems for which integration is re- quired .. 370 267. On combination of possible ...
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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