1230 Continuous Groups 



mn 2 Parameter group in mn variables. Wil- 

 czynski, E. J. [1899] Calif. Ac. P. (Mtk.-Pt.) 

 1 (1903) 59-. 



Parametric groups in the theory of linear sub- 

 stitutions. Maillet, E. A. Mt. 23 (1895) 199-. 



Partial differential equations of 1st order, 

 singularities. Marotte, F. C. B. 123 (1896) 

 933-. ' 



with two independent 

 variables, admitting a continuous group of 

 transformations. Tannenberg, W. de. Toul 

 Fac. Sc. A. 5 (1891) B, 150pp. 



Point-aggregate, doubly extended, determina- 

 tion of all groups of. Lie, M. S. Arch. 

 Mth. Ntvd. 3 (1878) 93-. 



Primitive transformation groups in five 

 variables. Kowalewski, G. Leip. Mth. Ps 

 B. 51 (1899) (Mth.) 69-. 



Projective group. Eettger, E. W. Am. Ac. P. 

 33 (1898) 491-. 



Properties of groups of substitutions of given 

 order. Maillet, E. C. B. 118 (1894) 1187-. 



Simple finite continuous groups, structure. 

 Cartan, . C. B. 116 (1893) 784-. 



group with 14 parameters. Engel, F. C. B. 

 116 (1893) 786-. 



Simply infinite continuous protective groups in 

 ordinary space. Pittarelli, G. A. Mt 22 

 (1894) 261-. 



Simultaneous differential equations with con- 

 tinuous transformation groups. Zindler, K. 

 Mh. Mth. Ps. 11 (1900) 289-. 



Structure of a group, reduction to canonical 

 form. Cartan, E. C. B. 119 (1894) 639-. 



Sub-groups of a group of Lie's transformations. 

 Maillet, E. C. B. 130 (1900) 1449-. 



Substitutions, groups of, special class. Ahrens, 

 W. Leip. Mth. Ps. B. 49 (1897) 616-. 



Systems of partial differential equations de- 

 fining a group. Medolaghi, P. Bm. B. Ac. 

 Line. Bd. 6 (1897) (Sem. 1) 575-. 



Transformation, general theory. Lie, S. 

 Leip. Mth. Ps. B. 40 (1888) 14-. 



groups. Lie, M. S. Gott. Nr. (1874) 

 529-. 



. Page, J. M. A. Mth. 8 (1893-94) 



applied to ordinary differential equations. 



Page, J. M. A. Mth. 9 (1894-95) 59-. 

 , determination of all transitive, with r 



terms. Lie, S. Leip. Mth. Ps. B. 42 (1890) 



478-. 

 , new proof of fundamental theorem in 



theory of. Lie, S. Leip. Mth. Ps. B. 42 



(1890) 453-. 

 , researches. Lie, S. Arch. Mth. Ntvd. 



10 (1886) 74-, 353-. 

 , simple. Cartan, E. Leip. Mth. Ps. B. 



45 (1893) 395-. 

 in space of four dimensions. Page, J. M. 



A. Mth. 9 (1894-95) 11-. 

 . West/all, J. V. N. Y. 



Am. Mth. S. Bll. 6 (1900) 185, 191-. 

 , theory. Lie, M. S. Arch. Mth. Ntvd. 



1 (1876) 19-, 152- ; 3 (1878) 93-, 375-; 4 



(1879) 232-; 9 (1884) 449-; Mth. A. 16 



(1880) 441- ; Christiania F. (1888) No. 13, 

 8 pp. ; Leip. Mth. Ps. B. 46 (1894) 322-. 



Algebra. General 1590 



Types of line-sphere transformation. Lovett, 

 E. O. [1900] N. Y. Am. Mth. S. Bll. 7 

 (1901) 203, 209-. 



ALGEBRA AND THEORY OF 

 NUMBERS. 



1590 General. 



Algebra, pure and applied, exercises. Piani, D. 

 [1846-47] Bologna N. Cm. 10 (1849) 571-. 



Algebraic keys. Cauchy, A. L. C. B. 36 

 (1853) 70-, 129-, 161-. 



, employment of differentials and varia- 

 tions. Cauchy, A. L. C. B. 37 (1853) 38-, 

 57-. 



Interpretation of algebraic results. Parker, 

 W. H. Camb. (M.) Mth. M. 1 (1859) 



(Parker). Eunkle, J. D. Camb. 



(M.) Mth. M. 1 (1859) 178-. 



Elements of Algebra. 

 1600 General. 



Algebra, elementary developments. Finlay, E. 



Mathematician 3 (1850) 291-. 

 , , theorem. Marcolongo, E. G. Mt. 25 



(1887) 174-. 

 , elements (Lacroix). Oken, L. Oken Isis 



(1825) 1153-. 

 , foundation. De Morgan, A. [1839-44] 



Camb. Ph. S. T. 7 (1842) 173-, 287-; 



8 (1849) 139-, 241-. 

 , foundations. Sexe, S. A. N. Mg. Ntvd. 



(1866) 1-. 

 , , supplementary to Cauchy. Bellavitis, 



G. A. Sc. Lomb. Yen. 1 (1831) 271-. 

 , fundamental notions. Ballauff,L. Grunert 



Arch. 5 (1844) 259-. 

 , laws. De Morgan, A. (ix) [1853] Camb. 



Ph. S. P. 1 (1866) 123-. 

 , principles. Paque,A.J.N. (vm) Liege 



Mm. S. Sc. 18 (1863) 93-. 

 ,, first. Schulten,N.G.af(fil). Helsingf. 



Acta 1 (1840) 395-. 

 , , . Moigno, F. Les Mondes 3 (1863) 



254-, 269-, 318-, 358-, 605-, 635-. 

 , , fundamental. Schulten, N. G. af (fil). 



[1839] Helsingf. Acta 1 (1840) 31-. 

 , , . Petersen, J. Ts. Mth. 3 (1885) 1-; 



Fschr. Mth. (1885) 123. 



Algebraic analysis and the factorial interpreta- 

 tion of powers. Capelli, A. G. Mt. 31 



(1893) 291-, 340- ; 33 (1895) 361-. 



calculation. Franchini, P. Lucca At. Ac. 

 2 (1823) 193-. 



, exercises. Eealis, S. N. A. Mth. 20 



(1881) 501-. 



formulae treated geometrically. Lucas, E. 

 As. Fr. C. E. (1885) (Pt. 1) 94. 



and goniometric identities, development of 

 some. Berg, F. J. van den. Amst. Ak. Vs. 

 M. 14 (1879) 340-. 



75 



