A Treatise on Infinitesimal Calculus ... |
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Page x
... Integral Calculus is considered a part of Infinitesimal Calculus , and as ... definite , when the sum of the infinitesimal elements is to be taken between ... Definite Inte- gral . The notion of a Definite Integral is therefore the ...
... Integral Calculus is considered a part of Infinitesimal Calculus , and as ... definite , when the sum of the infinitesimal elements is to be taken between ... Definite Inte- gral . The notion of a Definite Integral is therefore the ...
Page xi
... 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 the most general case that the Definite Integral may be found by ...
... 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 the most general case that the Definite Integral may be found by ...
Page xv
... definite integral .. Page 1 .. 3 4 6 7 7 5. Relation of the definite and indefinite integrals 6. The definite integral is independent of the mode of division .. 7. Relation of symbols of differentiation and integration .. 8. Fundamental ...
... definite integral .. Page 1 .. 3 4 6 7 7 5. Relation of the definite and indefinite integrals 6. The definite integral is independent of the mode of division .. 7. Relation of symbols of differentiation and integration .. 8. Fundamental ...
Page xviii
Bartholomew Price. SECTION 2. - The Change of Limits in Definite Integrals . 83. A general definite integral expressed in its complete form 84. The effect of a reversal of the limits 91 .. 92 .. 85. The value of a definite integral is ...
Bartholomew Price. SECTION 2. - The Change of Limits in Definite Integrals . 83. A general definite integral expressed in its complete form 84. The effect of a reversal of the limits 91 .. 92 .. 85. The value of a definite integral is ...
Page xix
... Definite Integral . 111. Evaluation by direct summation 112. Evaluation by summation of terms at finite intervals ... definite integrals 147 117. Bernoulli's series for approximate value .. 118. Approximate value deduced from Taylor's ...
... Definite Integral . 111. Evaluation by direct summation 112. Evaluation by summation of terms at finite intervals ... definite integrals 147 117. Bernoulli's series for approximate value .. 118. Approximate value deduced from Taylor's ...
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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