Theorem of inequality. Schlomilch, O. N. A. 



Mth. 19 (1860) 280-. 

 --- (Schlomilch). Prouhet, E. N. A. 



Mth. 19 (1860) 281-. 

 -- Jacobi. Hathaway, A. S. J. H. Un. 



Cir. [2] (1883) 143-. 

 Transcendent functions connected with 



3230 Principles and Elements of the Differential Calculus 3230 



Calculus, higher, application of method of in- 



determinates. Wright, J. M. F. Silliman J 



17 (1830) 74-. 

 , Lacroix's. Adams, Jas. Thomson A Ph 



12 (1818) 204-. 

 " of Primaries " new branch of infinitesimal 



calculus. Sang, E. [1866] Edinb. E. S T 



24 (1867) 515-. 

 , principles. Brasseur, J. B. Liege Mm. S. 



Sc. 3 (1873) 113-. 



, , and applications. Brunacci, V. Bo- 

 logna Mm. I. It. 1 (1806) (pte. 2) 79-. 

 , , first. Cook, H. Des Moines Anal. 2 



(1875) 185-. 

 , relations of continuity to. Drobisch, M W 



Leip. B. (1853) 155-. 

 , true basis. Werneburg, J. F. C. Oken 



Isis (1819) 281-. 

 Change of independent variable. Poinsot, L. 



Par. EC. Pol. Cor. 3 (1814-16) 124-. 

 . Greatheed, S. S. [ascribed to 



Gregory, D. F., in Vol. III.] Camb. Mth. J. 



1 (1839) 236-. 



Mellin, H. Stockh. Ofv. (1884) No. 5, 125- ; 



Fschr. Mth. (1884) 375. 

 Transformations. Cauchy, A. L. C. E. 17 



(1843) 523-. 

 Value. Becka, B. Casopis 5 (*1876) 37-; 



Fschr. Mth. (* 1876) 251. 



of (3 . 5 . 9 . 17...)/(2 .4.8. 16...). Vachette, 

 A. N. A. Mth. 5 (1846) 188-. 



Values. Glaisher, J. W. L. [1873-75] Mess. 



Mth. 2 (1873) 189- ; 5 (1876) 122. 

 and geometrical series of nth order. Glaisher, 



J. W. L. [1875] L. Mth. S. P. 7 (1875-76) 



23-. 

 IP (x , t) = (1 + x) (1 + te) (1 + t*x) .... Cauchy , 



A. L. G. E. 17 (1843) 693-. 

 (1 - x) (1 - x2) (1 - 3) . . . , development. Frank- 



lin, F. [1880] C. E. 92 (1881) 448-. 



, Euler's theorem, Franklin's proof. Syl- 

 vester, J. J. (xn) J. H. Un. Cir. [2] (1883) 

 42. 



. Sylvester, J. J. C. E. 96 (1883) 674. 



. Pepin, T. Em. N. Line. At. 41 (1888) 

 67-. 



OTHEE INFINITE PEOCESSES. 



Infinite processes, measure of convergence. 



Schimpf, E. [1899] D. Mth. Vr. Jbr. 8 



(1900) (Heft 1) 216-. 

 Power expression a;**' to infinity, limiting values. 



Seidel, L. [1871] Munch. Ab. 11 (1873) 



3230 Principles and elements of 

 the differential calculus. 



Algebraic differentials. Harnack, A. A. Mt. 9 



(1878-79) 302-. 

 in homogeneous coordinates. Harnack, 



A. Mth. A. 9 (1876) 371-. 

 Algorithm for differential and integral opera- 

 tions, identity with algebraic. Tralles, J. G. 



[1809] Berl. Ab. (1804-11) (Mth.) 188-. 

 "Analyse des infiniment petits," Jean 



Bernoulli's part in. Enestrom, G. Bb. Mth. 



(1894) 65-. 

 Calculus, analogy in. Conti, C. A. Sc. Lomb. 



Ven. 2 (1832) 179-. 

 , elements. Boucharlat, . Eouen Tr. Ac. 



(1820) 6-. 

 , . Ampere, A.M. N. A. Mth. 4 (1845) 



105-, 161-, 209-, 278-. 

 , formulae. Spitzer, S. Grunert Arch. 24 



(1855) 97-. 

 , geometrical exposition. Lamarle, E. 



Brux. Mm. Cour. 8, 11 (1861) 170 pp. ; 15 



(1863) 676 pp. 



. Hess, E. Z. Mth. Ps. 17 (1872) 



. Ferreira dos Sanctos, R. G. 



Teix. J. Sc. 6 (1885) 24-. 



in a differential coefficient. 

 Gallop, E. G. Camb. Ph. S. T. 16 (1898) 

 116-. 



differentials. Schlomilch, O. 



Liouv. J. Mth. 3 (1858) 385-. 

 differentiation. Liouville, J. 



Par. EC. Pol. J. 24 cah. (1835) 17-. 

 , formulae. Liouville, J. Liouv. J. 



Mth. 5 (1840) 311-. 

 in higher differential. Martini, E. 



G. Mt. 2 (1864)353-. 



multiple differentiation and 



integration. Dienger, J. Grunert Arch. 10 

 (1847) 417-. 



a system of independent variables. 

 Gallop, E. G. Camb. Ph. S. T. 17 (1899) 

 231-. 



systems of independent variables. 

 Sylvester, J. J. QJ. Mth. 1 (1857) 42-, 

 126-. 



variables. Marchand, E. Par. EC. Norm. 



A. 3 (1886) 137-, 343-. 



. Leudesdorf, C. [1886-87] L. Mth. 



S. P. 17 (1887) 329-; 18 (1886-87) 235-. 



. Levy, L. N. A. Mth. 13 (1894) 



5. 



of higher derivatives. Bochow, . 



Z. Mth. Ps. 32 (1887) 346-. 



Continuous functions, determination of dif- 

 ferentials. Conti, C. Padova N. Sag. 3 

 (1831) 208-. 



, differentiation and representation. 

 Kopcke, A. Mth. A. 29 (1887) 123-. 



and their differentials. Franke, T. 

 Grunert Arch. 15 (1850) 227-. 



(Franke). Schlomilch, 0. 



Grunert Arch. 16 (1851) 235-. 

 , differentials, Cauchy's theorem. Theorell, 



A. G. [1867] Stockh. Ofv. 24 



253 



