A Treatise on Infinitesimal Calculus ... |
From inside the book
Results 1-5 of 73
Page xix
... Equivalent forms of the beta - function .. 127. The proof of the theorem г ( n + 1 ) = nг ( n ) 155 .. 156 157 158 159 160 162 π 163 sin n π 165 166 167 128. Another proof of the same for positive and integral values of n .. .. 129. The ...
... Equivalent forms of the beta - function .. 127. The proof of the theorem г ( n + 1 ) = nг ( n ) 155 .. 156 157 158 159 160 162 π 163 sin n π 165 166 167 128. Another proof of the same for positive and integral values of n .. .. 129. The ...
Page xxx
... equivalent to multiplication by an inte- grating factor .. .. 380. An a posteriori proof that a homogeneous equation when thus modified is an exact differential .. 381. Another form reducible to an homogeneous equation 531 .. 532 .. 533 ...
... equivalent to multiplication by an inte- grating factor .. .. 380. An a posteriori proof that a homogeneous equation when thus modified is an exact differential .. 381. Another form reducible to an homogeneous equation 531 .. 532 .. 533 ...
Page xxxii
... equivalent forms of Riccati's equation 603 .. SECTION 11. - Solution of Geometrical Problems , dependent on Differential Equations . 426. Trajectories of plane curves referred to rectangular coor- dinates 427. Trajectories of plane ...
... equivalent forms of Riccati's equation 603 .. SECTION 11. - Solution of Geometrical Problems , dependent on Differential Equations . 426. Trajectories of plane curves referred to rectangular coor- dinates 427. Trajectories of plane ...
Page 4
... equivalent to the reso- lution of F ( x ) — F ( x ) into infinitesimal elements , as exhibited in the right - hand member of equation ( 3 ) . - ( 2 ) Thus the Differential Calculus is a method by which a given finite function is ...
... equivalent to the reso- lution of F ( x ) — F ( x ) into infinitesimal elements , as exhibited in the right - hand member of equation ( 3 ) . - ( 2 ) Thus the Differential Calculus is a method by which a given finite function is ...
Page 12
... equivalent the other definite integral determined by means of z . Let Z1 , Z2 , ... Zn - 1 Z1 be the values of z corresponding to x1 , x2 , ... 1 ; then , the elements of a being infinitesimal , we have x1 - xo = f ( z1 ) -ƒ ( ≈0 ) = ƒ ...
... equivalent the other definite integral determined by means of z . Let Z1 , Z2 , ... Zn - 1 Z1 be the values of z corresponding to x1 , x2 , ... 1 ; then , the elements of a being infinitesimal , we have x1 - xo = f ( z1 ) -ƒ ( ≈0 ) = ƒ ...
Contents
1 | |
4 | |
18 | |
41 | |
48 | |
53 | |
71 | |
83 | |
322 | |
323 | |
324 | |
326 | |
327 | |
328 | |
330 | |
332 | |
85 | |
98 | |
104 | |
105 | |
108 | |
111 | |
117 | |
121 | |
123 | |
130 | |
134 | |
144 | |
150 | |
154 | |
155 | |
161 | |
169 | |
177 | |
184 | |
190 | |
197 | |
206 | |
210 | |
217 | |
222 | |
224 | |
231 | |
240 | |
249 | |
255 | |
256 | |
267 | |
279 | |
283 | |
287 | |
290 | |
302 | |
307 | |
308 | |
310 | |
311 | |
312 | |
313 | |
315 | |
316 | |
317 | |
319 | |
321 | |
333 | |
335 | |
337 | |
338 | |
339 | |
354 | |
366 | |
372 | |
376 | |
382 | |
388 | |
389 | |
395 | |
396 | |
403 | |
405 | |
411 | |
414 | |
420 | |
426 | |
427 | |
430 | |
436 | |
461 | |
482 | |
491 | |
511 | |
513 | |
520 | |
528 | |
556 | |
569 | |
589 | |
597 | |
606 | |
614 | |
615 | |
622 | |
629 | |
643 | |
651 | |
663 | |
666 | |
673 | |
680 | |
687 | |
693 | |
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