3250 



Integration 



3250 



Carmichael, E. Camb. and Dubl. Mth. J. 9 



(1854) 227-. 



Encke, J. F. Camb. (M.) Mth. M. 2 (1860) 276-. 

 Mucloskie, G. A. Mth. 5 (1889-90) 106-. 

 of algebraic differentials by logarithms. Weier- 



strass, C. Berl. B. (1857) 148- . 

 functions, with mechanical illustrations. 



Russell, W. H. L. E. S. P. 23 (1875) 279. 

 approximate. Gauss, C. F. [1814] Gott. Cm. 



3 (1814-15) 39-. 

 . Kramp, C. Gergonne A. Mth. 6 (1815- 



16) 281- ; 7 (1816-17) 241- ; 9 (1818-19) 373-. 

 (Kramp). Gergonne, J. D. Gergonne A. 



Mth. 6 (1815-16) 303-. 

 . Mainardi, G. [1845] Mod. S. It. Mm. 23 



(1846) 309-. 

 . Stieltjes, T. J. (jun.) C. E. 97 (1883) 



740-, 798-. 

 , Gauss's method. Jacobi, C. G. J. Crelle 



J. 1 (1826) 301-. 

 , , generalisation. August, F. Arch. 



Mth. Ps. 66 (1881) 72-. 



, of irrational functions by rational substitu- 

 tions. Merrifield, C. W. Ph. Mg. 20 (1860) 



F(x)dz. Gourier, G. C. E. 97 



(1883) 79-. 

 by auxiliary integrals. Stille, W. A. Des 



Moines Anal. 10 (1883) 81-, 108- , 137-. 

 of binomial differentials. PerevoMikov , D. M. 



[1870] St Pet. Ac. Sc. Mm. (Rs.) 18 (*1871) 



123-. 

 and calculus of iterative functions. Ferber, . 



N. A. Mth. 17 (1898) 509-. 

 cases. Strekalov, V. N. Kazan S. Nt. (Ps.- 



Mth.) P. 5 (1887) 125-. 

 continuous, of numerical function. Cellerier, 



G., & Pictet, R. Arch. Sc. Ps. Nt. 64 (1878 



185-. 

 depending on rectification of conies. Malfatti, 



G. F. Verona S. It. Mm. 2 (1784) 749-. 

 of differential expressions involving angles. 



Fuss, N. [1800] St Pet. Ac. Sc. Mm. 1 



(1809) 138-. 

 of physical astronomy. Woodhouse, R. 



Phil. Trans. (1840) 219-. 



functions involving sines and cosines. 

 Melanderhjelm, D. Ups. N. Acta S. Sc. 6 

 (1799) 211-. 



differentials, cases. Martin, Art. Mess. 

 Mth. 5 (1876) 145-. 



, _ (Martin). Glaisher, J. W. L. Mess. 



Mth. 5 (1876) 147-. 

 , () Cayley, A. Mess. Mth. 5 (1876) 



163 ; 6 (1877) 82-. 



with several independent variables. 

 Hansen, P. C. V. (xn) Ts. Mth. 3 (1879) 

 165-. 



involving radicals. Lagrange, J. L. 

 Turin Mm. Ac. 2 (1784-85) 218-. 



by differentials of negative index. Makslmovich, 



V. P. [1882] (xn) Kazan S. Nt. (Ps.-Mth.) 



P. 1 (1883) [A T o. 7] 6-. 

 and differentiation of indeterminate fractions. 



Du Bois-Reymond, P. [1878] Mth. A. 14 



(1879) 498-. 



direct, of sin? xcosi xdx. Studnicka, F. J. 



Casopis 21 (1892) 180- ; Fschr. Mth. (1892) 



260. 

 of discontinuous functions. Smith, H. J. S. 



L. Mth. S. P. 6 (1874-75) 140-. 



exact differentials. Steen, A. Mth. Ts. 1 

 (1859) 176-. 



extension of Leibnitz's theorem to. Young, 

 J. R. Ph. Mg. 33 (1848) 335-. 



summation theorem of Abel's to. 

 Gibson, G. A. Edinb. Mth. S. P. 6 (1888 

 40-. 



formula. Degen, C. F. Kiob. Dn. Yd. Selsk. 



Skr. 3 (1803-04) 79-. 

 . Aronhold, S. H. [1862] Crelle J. 61 



(1863) 95-. 



(Aronhold). Cayley, A. Mess. Mth. 5 

 (1876) 88-. 



. Cayley, A. G. E. 78 (1874) 1624-. 



. Nicholson, J. W. Des Moines Anal. 10 



(1883) 53-. 

 , Hill's, demonstration. Ramus, C. Crelle 



J. 19 (1839) 117-. 

 formula. Kramp, C. Gergonne A. Mth. 6 



(1815-16) 372-. 

 . . Buquoy, G. von. Oken Isis (1825) 155-. 



for two first orders. Sirering, J. Lux. I. 



B. Pb. 18 (1881) 33-. 



of functions containing radical of second degree. 



Koehler, C. N. A. Mth. 6 (1867) 448-. 

 graphical methods. Saviotti, C. Cuyper Ev. 



Un. 13 (1883) 483-. 

 by help of trigonometric functions. Rodde, L. 



Hann. Z. Archt.-Vr. 3 (1857) 359-. 



infinite series, advantages. Gherardi, S. 

 [1849] Bologna Mm. Ac. Sc. 2 (1850) 417-. 



of irrational differential formulae. Ettings- 



hausen, A. von. Wien SB. (1850) (Ab. 2) 31-. 

 differentials. Tchebicheff, P. Liouv. J. 



Mth. 18 (1853) 87-; C. E. 51 (1860) 46-; 



Liouv. J. Mth. 9 (1864) 242-. 

 expressions. Gebhard, H. Arch. Mth. 



Ps. 63 (1879) 334-. 

 and trigonometric differential formulae. 



Zmurko, L. Wien SB. (1849) (Ab. 2) 40-. 



irrationals of second degree. Alexeeff, N. 



C. E. 89 (1879) 403-. 



logarithmic functions. PerevoS6ikov, D. H. 

 St Pet. Ac. Sc. Mm. (Rs.) 21 (1872) 87-. 



rational differentials. Hill, C. J. D. 



Crelle J. 3 (1828) 101-. 

 methods. Radicke, G. Crelle J. 36 (1848) 



183-. 



. Carmichael, R. Ph. Mg. 14 (1857) 507-. 

 . Helmling, P. St Pet. Ac. Sc. Mm. 29 



(1881) No. 2, 39 pp. 

 partial, application. Steen, A. (xn) Ts. Mth. 



6 (1882) 51-. 

 of partial differential coefficients. Euler, L. 



[1781] St Pet. Ac. Sc. Mm. 11 (1830) 92-. 

 equations of second order. Melnlkov, 



M. (xn) Kazan Un. Mm. (1841) (Bk. 1) 



208- ; (1841) (Bk. 2) 167-. 

 by partial fractions. Baltzer, R. (ix) Leip. 



Mth. Ps. B. 25 (1873) 523-. 

 partial, generalisation. Worpitzky, J. Z. 



Mth. Ps. 23 (1878) 407-. 



271 



