A Treatise on Infinitesimal Calculus ... |
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Page xxii
... periodic series 258 .. 197. The mode of expanding a function in a periodic series 198. The geometrical interpretation of the discontinuity of the series .. .. 260 264 .. 199. The value of the function at the points of discontinuity 265 ...
... periodic series 258 .. 197. The mode of expanding a function in a periodic series 198. The geometrical interpretation of the discontinuity of the series .. .. 260 264 .. 199. The value of the function at the points of discontinuity 265 ...
Page 204
... functions , and the treatises which have been written on them ; and especially on account of the large generalizations and developments which double periodic functions , more general than elliptic integrals , have received at the hands ...
... functions , and the treatises which have been written on them ; and especially on account of the large generalizations and developments which double periodic functions , more general than elliptic integrals , have received at the hands ...
Page 236
... functions in periodic terms , which are not only curious , but are also important in the application of pure ... function of the place which it holds in the series . The func- tion which expresses each in terms of its place gives the law ...
... functions in periodic terms , which are not only curious , but are also important in the application of pure ... function of the place which it holds in the series . The func- tion which expresses each in terms of its place gives the law ...
Page 249
... Periodic Series . SECTION 2. - The Series of Taylor and Maclaurin . 190. ] In the first article of the preceding section , it has been remarked that there are two cases in which an exact equality exists between a function and the series ...
... Periodic Series . SECTION 2. - The Series of Taylor and Maclaurin . 190. ] In the first article of the preceding section , it has been remarked that there are two cases in which an exact equality exists between a function and the series ...
Page 258
... function . Now the primary problem is to determine the conditions for which a given function , say f ( x ) , is capable of expression in the form of a periodic series , and to express it 258 [ 196 . PERIODIC SERIES .
... function . Now the primary problem is to determine the conditions for which a given function , say f ( x ) , is capable of expression in the form of a periodic series , and to express it 258 [ 196 . PERIODIC SERIES .
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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