A Treatise on Infinitesimal Calculus ... |
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Page xxvii
... Geometrical interpretation of fundamental operations 297. The variation of ds = ( dx2 + dy2 + dz2 ) 3 .. 298. The variation of surface - elements .. 299. The variation of a volume - element 300. The variation of a product of ...
... Geometrical interpretation of fundamental operations 297. The variation of ds = ( dx2 + dy2 + dz2 ) 3 .. 298. The variation of surface - elements .. 299. The variation of a volume - element 300. The variation of a product of ...
Page xxx
... Geometrical interpretation of an integral of a differential equation 514 517 518 520 .. 520 366. Similar interpretation of a partial differential equation 367. The complete integral of a differential equation of the nth order and first ...
... Geometrical interpretation of an integral of a differential equation 514 517 518 520 .. 520 366. Similar interpretation of a partial differential equation 367. The complete integral of a differential equation of the nth order and first ...
Page xxxi
... Geometrical illustration of the process 542 387. Partial differential equations of any number of variables .. 388. Examples of integration of the same 543 545 SECTION 6. - Integrating Factors of Differential Equations . 389. Every ...
... Geometrical illustration of the process 542 387. Partial differential equations of any number of variables .. 388. Examples of integration of the same 543 545 SECTION 6. - Integrating Factors of Differential Equations . 389. Every ...
Page xxxii
... Geometrical interpretation of Clairaut's form 414. An extended form 581 .. 584 586 588 415. Integration of the case wherein one variable can be ex- pressed explicitly in terms of the other and the derived function .. 589 591 .. 416. The ...
... Geometrical interpretation of Clairaut's form 414. An extended form 581 .. 584 586 588 415. Integration of the case wherein one variable can be ex- pressed explicitly in terms of the other and the derived function .. 589 591 .. 416. The ...
Page xxxiii
Bartholomew Price. 430. Geometrical problems involving total differential equations of three variables 431. Geometrical problems involving partial differential equa- tions of the first order 611 .. 612 613 432. Integration of the ...
Bartholomew Price. 430. Geometrical problems involving total differential equations of three variables 431. Geometrical problems involving partial differential equa- tions of the first order 611 .. 612 613 432. Integration of the ...
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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