A Treatise on Infinitesimal Calculus ... |
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Page xviii
... limits 91 .. 92 .. 85. The value of a definite integral is unaltered , if the extreme limits are the same and the intermediate limits are con- tinuously additive 86. Examples in illustration and application of the theorem 87. An ...
... limits 91 .. 92 .. 85. The value of a definite integral is unaltered , if the extreme limits are the same and the intermediate limits are con- tinuously additive 86. Examples in illustration and application of the theorem 87. An ...
Page xxiii
... limits in the transformed in- tegral .. 290 215. Examples of transformation of definite multiple integrals 216. Cases in which the limits of the transformed integral are made constant by the transformation 293 296 .. SECTION 3. - The ...
... limits in the transformed in- tegral .. 290 215. Examples of transformation of definite multiple integrals 216. Cases in which the limits of the transformed integral are made constant by the transformation 293 296 .. SECTION 3. - The ...
Page xxvi
... limits are constant 278. Example of the process 389 390 .. 279. Reduction effected by means of the Gamma - function when the limits are given by an inequality .. 392 280. Extension of the theorem by Lejeune Dirichlet 393 281. Further ...
... limits are constant 278. Example of the process 389 390 .. 279. Reduction effected by means of the Gamma - function when the limits are given by an inequality .. 392 280. Extension of the theorem by Lejeune Dirichlet 393 281. Further ...
Page xxvii
... limits are given by a more general inequality .. .. 289. Another form of definite integral determined by means of Fourier's theorem .. 406 408 408 CALCULUS OF VARIATIONS . CHAPTER XIII . EXPOSITION OF THE PRINCIPLES OF THE CALCULUS OF ...
... limits are given by a more general inequality .. .. 289. Another form of definite integral determined by means of Fourier's theorem .. 406 408 408 CALCULUS OF VARIATIONS . CHAPTER XIII . EXPOSITION OF THE PRINCIPLES OF THE CALCULUS OF ...
Page 2
... limits of the series ; the first and last terms being called respectively the inferior and the superior limit . The excess of the superior over the inferior limit is called the range of summation . Although the sums of some series can ...
... limits of the series ; the first and last terms being called respectively the inferior and the superior limit . The excess of the superior over the inferior limit is called the range of summation . Although the sums of some series can ...
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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