A Treatise on Infinitesimal Calculus ... |
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Page viii
... 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 omitted because they are not ...
... 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 omitted because they are not ...
Page ix
... Calculus ; the student has been obliged to burden his memory with certain rules which he me- chanically applies ; he has not been taught to deduce them from first principles , because he has had no principles pregnant with such rules ...
... Calculus ; the student has been obliged to burden his memory with certain rules which he me- chanically applies ; he has not been taught to deduce them from first principles , because he has had no principles pregnant with such rules ...
Page x
... Calculus . In the following treatise the Integral Calculus is considered a part of Infinitesimal Calculus , and as such , is founded on an intelligible conception of Infi- nitesimals ; it is thus a branch of the science of con- tinuous ...
... Calculus . In the following treatise the Integral Calculus is considered a part of Infinitesimal Calculus , and as such , is founded on an intelligible conception of Infi- nitesimals ; it is thus a branch of the science of con- tinuous ...
Page xi
... Calculus . In support of the view of the subject here taken , I allege that on this conception of Infinitesimal ele- ments , and on this conception only , is the Integral Calculus applied to the problems of Rectification , Quadrature ...
... Calculus . In support of the view of the subject here taken , I allege that on this conception of Infinitesimal ele- ments , and on this conception only , is the Integral Calculus applied to the problems of Rectification , Quadrature ...
Page xii
... Calculus , commonly so called ; the Calculus of Va- riations ; and Differential Equations . The notion of a Definite Integral is stated in its fundamental and most comprehensive form ; and the first four chapters are occupied with ...
... Calculus , commonly so called ; the Calculus of Va- riations ; and Differential Equations . The notion of a Definite Integral is stated in its fundamental and most comprehensive form ; and the first four chapters are occupied with ...
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Other editions - View all
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