2450 



General resolution of equations ; theory of Galois 



2450 



Equations, 8th order. Armenante, A., & Jung, Galois's theory. Pierpont, J. A. Mth. 1 (1900) 



G. G. Mt. 7 (1869) 98-. 



, -- , and theory of curves of 4th degree. 

 Noether, M. Mth. A. 15 (1879) 89-. 



, 9th order, class, solution. Hesse, L. 0. 

 Crelle J. 34 (1847) 193-. 



, 10th order, of Jacobi. Fame, H. N. A. 

 Mth. 3 (1864) 116-. 



, 12th order. Kronecker, L. Berl. Mb. 

 (1861) 609-. 



, -- . Klein, C. F. Erlang. Ps. Md. S. 

 Sb. 7 (1875) 101-. 



, nth order, algebraic solution of certain 

 classes. Bjorling, E. G. Stockh. Ofv. 9 

 (1852) 40-; Grunert Arch. 21 (1853) 17-. 



, -- , equation of squares of differences of 

 roots. Roberts, M. N. A. Mth. 17 (1858) 

 440-. 



, -- , reduction. Boole, G. Camb. and 

 Dubl. Mth. J. 6 (1851) 106-. 



, , solution. Franchini, P. [1797] 

 Turin Mm. Ac. 6 (1801) (pte. 2) 115-. 



, -- , . Wilder, C. Silliman J. 16 

 (1829) 271-. 



, -- , . Cauchy, A. L. C. K. 4 (1837) 

 773-, 805- ; 5 (1837) 301- ; 29 (1849) 250-. 



, -- , . Jerrard, G. B. Ph. Mg. 3 

 (1852) 457-. 



, -- , . Theremin, F. [1853] Crelle J. 

 49 (1855) 187-. 



, -- , , method. Premier, . Fr. Cg. 

 Sc. 20 (1853) 48-. 



, -- whose roots are of form Z/IL+Z/R,. 

 Guldberg, A. S. [1869-70] N. Mg. Ntvd. 16 

 (1869) 76- ; Christiania F. 13 (1871) 431-. 



, -------- . Sylow, L. N. 



Mg. Ntvd. 17 (1870) 17-. 



Factorisation of integral algebraic functions in 



natural rationality domain. Kronecker, L. 



Crelle J. Mth. 94 (1883) 344-. 

 Formulae for solution of equations. Brioschi, 



F. Tortolini A. 5 (1854) 416-. 

 Functions of 4 and 5 letters. Cockle, Jas. 



Liouv. J. Mth. 1 (1856) 383-. 



JUJ.WU.T* W. i.U.lM.1. A IJ-tWUI UOU i , o \ /I OAO\ ,100 



Galois, commentary on. Jordan, C. C. E. 60 (pte ' 2) ( 1806 ) 433 ~' 



(1865) 770- ; Mth. A. 1 (1869) 141-. 



field, existence. Dickson, L. E. N. Y. Am. 

 Mth. S. Bll. 6 (1900) 203-. 



fields. Dickson, L. E. [1900] N. Y. Am. 

 Mth. S.- Bll. 7 (1901) 80, 84-. 



113- ; 2 (1900-01) 22-. 



, general foundations. Weber, H. Mth. 

 A. 43 (1893) 521-. 



, history. Pierpont, J. N. Y. Am. Mth. 



S. Bll. 4 (1898) 332-, 560. 

 Group of numerical equations, determination. 



Maillet,E. C. E. 127 (1898) 1004- ; Liouv. 



J. Mth. 5 (1899) 205-. 



theory and algebraic equations. Foglini, G. 

 Em. N. Line. Mm. 3 (1888) 3-; 7 (1891) 

 175. 



. Bolza, 0. Am. J. Mth. 13 



(1891) 59-. 

 . Soderberg, J. T. Ups. S. Sc. 



N. Acta 15 (1895) No. 2, 38 pp. 

 Hamilton's numbers. Sylvester, J. J. As. Fr. 



C. E. (1887) (Pt. 2) 164- ; Nt. 36 (1887) 557-. 

 . Sylvester, J. J.,& Hammond, J. Phil. 



Trans. (A) 178 (1888) 285-; (A) 179 (1889) 



65-. 

 . Studnitka, F. J. Casopis 19 (1890) 



119- ; Fschr. Mth. (1890) 110. 

 . Mathews, G. B. QJ. Mth. 27 (1895) 



184-. 

 Icosahedral irrationality. Vivanti, G. Palermo 



Cir. Mt. Ed. 9 (1895) 202-. 

 . Bucca, F. Palermo Cir. Mt. Ed. 14 



(1900) 130-. 



, analogous irrationalities. Vivanti, G. 

 Mh. Mth. Ps. 6 (1895) 393-. 



, solution of equation of 5th degree by. 



Giudice, F. Tor. Ac. Sc. At. 28 (1893) 



664-. 

 Icosahedron, Klein's researches, and equations 



of 5th order. Gordan, P. Erlang. Ps. Md. 



S. Sb. 9 (1877) 183-. 

 Insolubility of equations of order above 4th. 



Euffini, P. [1802] Mod. S. It. Mm. 10 (1803) 



410-. 

 . Malfatti, G. F. Mod. 



S. It. Mm. 11 (1804) 579-. 

 . Euffini, P. Mod. S. It. 



Mm. 12 (1805) 213- ; Bologna Mm. I. It. 1 



Caccianino, A. Mil. Mm. 

 I. Lomb. Yen. 1 (1812-13) 3-. 



. Abel, N. H. Crelle J. 



1 (1826) 65-. 



, proof. Hadamard, . 



- group of equation, reduction by adjunc- Bordeaux S. Sc. PV. (1896-97) 84- 



tion of arbitrary irrationalities. Bucca, F. ~~ ~ ~' ~' * nd , *%*$* r* ^ 



Palermo Cir. Mt. Ed. 14 (1900) 122-. icular cas es Fo^, G. P. [1859] Cn. J. 5 



Galois's criterion of resolvability of equations ' '"' 



by radicals. Dolbnla, I. P. [1888] Kazan 

 S. Nt. (Ps.-Mth.) P. 7 (1889) 223-; N. A. 

 Mth. 7 (1888) 467-. 



fundamental theorem on algebraic solution, 

 proof. Soderberg, J. T. Acta Mth. 11 

 (1887-88) 297-. 



, Soderberg's proof. Holder, 0. Mth. 



A. 34 (1889) 454-. 



moduli, 2nd to 5th rank, modular equations. 

 Friedrich, G. Arch. Mth. Ps. 4 (1886) 113-. 



theory. Janni, G. G. Mt. 12 (1874) 277-. 

 -- . Bachmann, P. Mth. A. 18 (1881) 



, , new. Netto, E. 



Crelle J. Mth. 83 (1877) 86-. 



Inverse functions applied to theory of equations. 

 Guldberg, A. S. N. Mg. Ntvd. 15 (1868) 

 135-. 



Irrational quantities, algebraic. Jordan, C. 

 C. E. 63 (1866) 1063-. 



Irreducibility of algebraic equations, and de- 

 velopment of algebraic functions. Koenigs- 

 berger, L. Berl. Ak. Sb. (1898) 735-; Crelle 

 J. Mth. 121 (1900) 320-. 



, Eisenstein's law. Koenigsberger, 

 L. Berl. Ak. Sb. (1894) 1135- ; Crelle J. 

 Mth. 115 (1895) 53-. 



182 



