A Treatise on Infinitesimal Calculus ... |
From inside the book
Results 1-5 of 100
Page ix
... tion ; and it is only when he arrives at the first geo- metrical application that he gets an insight into the meaning of the processes ; and his view is even then obscured by an expansion into a series , which he no sooner obtains than ...
... tion ; and it is only when he arrives at the first geo- metrical application that he gets an insight into the meaning of the processes ; and his view is even then obscured by an expansion into a series , which he no sooner obtains than ...
Page x
... tion of a series , of which the law is given , ( for the symbolical form of the element - function , or type - term , determines that , ) and the first and the last terms are given , and the sun of these infinitesimal element- functions ...
... tion of a series , of which the law is given , ( for the symbolical form of the element - function , or type - term , determines that , ) and the first and the last terms are given , and the sun of these infinitesimal element- functions ...
Page xii
... tion , the Elementary Theorems and the Theory of Transformation of Multiple Integrals occupying that chapter . In the three following chapters important applications of this theory to Geometry and to the Calculus of Probabilities are ...
... tion , the Elementary Theorems and the Theory of Transformation of Multiple Integrals occupying that chapter . In the three following chapters important applications of this theory to Geometry and to the Calculus of Probabilities are ...
Page xviii
... tion without alteration of value in the integral .. 98. Evaluation of certain definite integrals by this process .. 99. Integral of a definite integral with respect to a parameter contained in the element - function 100. Evaluation of ...
... tion without alteration of value in the integral .. 98. Evaluation of certain definite integrals by this process .. 99. Integral of a definite integral with respect to a parameter contained in the element - function 100. Evaluation of ...
Page xxiii
... tion has been effected .. .. 218. The differentiation of the same , when one definite integra- 297 298 CHAP . IX . QUADRATURE OF SURFACES , PLANE AND CURVED . SECTION 1. - Quadrature of Plane Surfaces ; Cartesian Coordinates . 219 ...
... tion has been effected .. .. 218. The differentiation of the same , when one definite integra- 297 298 CHAP . IX . QUADRATURE OF SURFACES , PLANE AND CURVED . SECTION 1. - Quadrature of Plane Surfaces ; Cartesian Coordinates . 219 ...
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