A Treatise on Infinitesimal Calculus ... |
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Page xxii
... function expressed in a convergent series .. 253 194. Examples of such definite integrals 254 195. Other series derived by definite integration from the pre- ceding .. 256 SECTION 4. - On Periodic Series , and on Fourier's Integral ...
... function expressed in a convergent series .. 253 194. Examples of such definite integrals 254 195. Other series derived by definite integration from the pre- ceding .. 256 SECTION 4. - On Periodic Series , and on Fourier's Integral ...
Page xxviii
... function contains partial derived functions of only the first order 447 314. The calculus of variations considers a function of an infinite number of variables .. CHAP . XIV . APPLICATIONS OF THE CALCULUS OF VARIATIONS TO PROBLEMS OF ...
... function contains partial derived functions of only the first order 447 314. The calculus of variations considers a function of an infinite number of variables .. CHAP . XIV . APPLICATIONS OF THE CALCULUS OF VARIATIONS TO PROBLEMS OF ...
Page xxix
... equations of geodesics in terms of curvilinear co- ordinates 486 488 SECTION 3. - Investigation of Critical Values of a Definite Integral , whose Element - Function involves Derived - Functions . 349. Determination of the necessary ...
... equations of geodesics in terms of curvilinear co- ordinates 486 488 SECTION 3. - Investigation of Critical Values of a Definite Integral , whose Element - Function involves Derived - Functions . 349. Determination of the necessary ...
Page xxxii
... derived function .. 589 591 .. 416. The case where the coefficients of the powers of y ' are homogeneous SECTION 9. - Partial Differential Equations of the First Order and Higher Degrees . 417. The inquiry important , but necessarily ...
... derived function .. 589 591 .. 416. The case where the coefficients of the powers of y ' are homogeneous SECTION 9. - Partial Differential Equations of the First Order and Higher Degrees . 417. The inquiry important , but necessarily ...
Page 6
... functions of one variable as expressed in equation ( 1 ) ; and to the creation of a convenient system of symbols ... derived function there given , it appears that if F ( x ) is a function of z whose derived function is f ( x ) , and x ...
... functions of one variable as expressed in equation ( 1 ) ; and to the creation of a convenient system of symbols ... derived function there given , it appears that if F ( x ) is a function of z whose derived function is f ( x ) , and x ...
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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