3250 



Integration; etc. 



3250 



by parts. Gibson, G. A. Edinb. Mth. S. P. 4 



(1886) 88-. 

 , repeated, development of function by. 



Stolp, C. N. Arch. Wisk. 10 (1884) 81-. 

 , theorems. Eogel, F. Prag Sb. (1892) 



(Mth.-Nt.) 185-. 

 , useful formula. Kronecker, L. Berl. 



Ak. Sb. (1885) 841-. 

 from point of view of real variables. Baire, E. 



C. E. 126 (1898) 1700-. 

 of polynomial differentials, reduction formulae 



for. Greene, D. Des Moines Anal. 1 (1874) 



137-. 



practical. Schlafli, L. Bern Mt. (1899) 83-. 

 problem. Lindeloef, L. L. Les Mondes 3 



(1863) 492-. 

 process. Cayley, A. Mess. Mth. 4 (1875) 



149-. 

 of rational differentials. Catalan, E. C. N. 



A. Mth. 12 (1873) 423-. 

 . Weyr, E. (Sasopis 11 (*1882) 125- ; 



Fschr. Mth. (*1882) 208-. 



fraction with imaginary roots in de- 

 nominator. Starkov, A. N. Es. S. Nt. Mm. 

 (Mth.) 6 (1885) 87-; Fschr. Mth. (1885) 

 257-. 



fractions. Ostrogradsky , M. A. St Pet. 



Ac. Sc. Mm. 2 (1833) 569-, 657-. 

 . Poisson, S. D. Liouv. J. Mth. 2 



(1837) 224-. 

 . Ostrogradsky, M. A. [1844] St 



Pet. Ac. Sc. Bll. 4 (1845) 145-, 286-. 

 . De Morgan, A. Camb. and Dubl. 



Mth. J. 3 (1848) 238-; Mathematician 3 



(1850) 242-. 

 . Perevottikov, D. [1867] St Pet. 



Ac. Sc. Mm. (Es.) 11 (*1867) 112- ; 12 (*1868) 



23-. 

 . Hermite, C. N. A. Mth. 11 (1872) 



145-. 

 . Hoist, E. Arch. Mth. Ntvd. 10 



(1886) 290-. 



by finite differences, by means of 

 algebraic functions when possible. Beyer, 

 E. I. van. (xn) Eec. Mth. (Moscou) 4 

 (1869-70) (Pt. 1) 297-; 5 (1870) (Pt. 1) 64-, 

 145-. 



functions. Kapteyn, W. N. Arch. Wisk. 



10 (1884) 177-. 



homogeneous function. Stephanos, C. 

 C. E. 97 (1883) 1290-. 



repeated, of rational function, transcendents 



arising from. Jonquiere, A. Stockh. Ofv. 



(1888) 522-. 

 , Starkov's formula. Iznoskov, I. A. Kazan 



S. Nt. (Ps.-Mth.) P. 2 (1884) 37-. 

 results without process of integration. Eaabe, 



J. L. Ztir. Mt. 2 (1850-52) 466-. 

 by series. Arzela, C. Em. E. Ac. Line. Ed. 



1 (1885) 532-, 566-; 6 (1897) (Bern. 2) 290-. 



, Boole on defects of Euler's method. 

 Eubini, E. Nap. Ed. 19 (1880) 132-. 



, formula. Tetmajer, J. (xii) Krk. Ak. 



(Mt.-Prz.) Ez. & Sp. 6 (1880) 231-. 

 of simpler differentials containing a cube root. 



Chebuishev, P. L. (xn) Eec. Mth. (Moscou) 



2 (1867) (Pt. 1) 71-. 



by substitution. D g. Ts. Mt. Fys. 2 



(1869) 253-. 



. Arzela, C. Bologna Ed. 4 (1900) 82-. 



successive, arranged to yield ordinates for scale 



of areas. Merrifield, C. W. Nv. Archt. T. 



6 (1865) 51-. 

 symmetrical. Carmichael, E. Ph. Mg. 20 



(1860) 348-. 

 theorems. Malet, J. C. [1873] (x) A. Mt. 6 



(1873-75) 252-. 

 . Lindman, C. F. Stockh. Ofv. (1893) 



563-; Fschr. Mth. (1893-94) 481. 



(potential). Watson, (Rev.) H. W. QJ. 

 Mth. 21 (1886) 225-. 



(analogous to moments of inertia). Eouth, 

 E. J. QJ. Mth. 21 (1886) 281-. 



of trigonometric expressions. Encontre, D. 



Mntp. Eec. Bll. 1 (1803) 151-. 

 . PerevoScikov, D. M. St Pet. Ac. 



Sc. Mm. (Es.) 19 (*1871) 154-. 



series. Du Bois-Eeymond, P. Mth. A. 

 22 (1883) 260-. 



virtual, performed by Kepler. Enestrom, G. 



Bb. Mth. (1889) 65-. 

 volume of cylinder. Petersen, J. P. C. (xn) 



Ts. Mth. 3 (1867) 24- ; 5 (1869) 140- ; 2 



(1878) 178-. 



dx (A + # n ) A in convergent series. 



Fuss, N. [1797] St Pet. Ac. Sc. N. Acta 15 

 (1806) 55-. 



of dy = ^ . Kausler, C. F. [1810] 



(l + x)t/2&--l 

 St Pet. Ac. Sc. Mm. 4 (1813) 253-. 



^ . Lobatto, E. Crelle J. 9 (1832) 



a + b cos z 



259-. 



^. Matzka, W. Grunert Arch. 20 (1853) 1-. 



of I x m ~i 



de. Liouv. J. Mth. 9 (1864) 225-. 



(Tchebicheff's method). Zolotareff, G. 



Mth. A. 5 (1872) 560-. 



Integrators, two mechanical. Fraser, A. Y. 

 Edinb. Mth. S. P. 4 (1886) 29-. 



"Interest" questions, applications of infinite- 

 simal calculus. Farren, E. J. Assur. Mg. 

 5 (*1855) 254-. 



Leibnitz's formula for 



Ui*. 



historic note. 



Boncompagni, . Les Mondes 18 (1868) 



687-. 



Length of curve as limit of polygon, indepen- 

 dent of manner in which polygon approaches 



curve. Ascoli, G. Mil. I. Lomb. Ed. 16 



(1883) 851-. 

 Limited and integrable functions. Fejer, [non 



Tejir} L. C. E. 131 (1900) 984- ; 132 (1901) 



48. 

 Limits, inverse method, to find law of all series 



of which Fx can be limit of expression. 



Stockier, F. de B. G. QJ. Sc. 15 (1823) 



357-. 



272 



