Theory of Functions of Real Variables 



3210 



Functions, transcendental, Liouville's classi- 

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which vanish with their variables. Hamil- 

 ton, {Sir) W. R. Ir. Ac. T. 16 (Pt. 1) (1830) 

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. Moore, A. A. [1837] Camb. 



Ph. S. T. 6 (1838) 317-. 



Indeterminate expressions, equivalents. Har- 



J reave, C. J. B. A. Ep. (1857) 184-. 

 uction, andsymbolic formulas. Cauchy,A.L. 



G. B. 39 (1854) 169-. 

 Infinitely small and infinitely great, two types. 



Stohs, 0. Mth. A. 31 (1888) 601-. 

 Leibnitz's calculus. Arnoux, E. As. Fr. C. E. 



(1900) (Pt. 2) 1089-. 

 Limiting values, generalisation and application 



to curves. Schwarz, C. H. A. A. Mt. 10 



(1880-82) 129-. 

 Line functions. Arzela, C. Em. E. Ac. Line. 



Ed. 5 (1889) (Sem. 1) 342-. 

 Powers, theory. Crelle, A. L. Berl. Ab. 



(1829) 13-. 

 Principles. Lutter, N. [1860] (xn) Mag. 



Ak. Ets. (Mth. Term.) 2 (1861-62) 3-. 

 , fundamental. Mansion, P. (xn) Brux. 



S. Sc. A. 3 (1879) (Pt. 2) 259-. 

 Products and functions, symbolic. Cauchy, 



A. L. C. E. 43 (1856) 169-. 

 Quantity, idea of, successive generalisation. 



Hotel, J. [1882] Bordeaux S. Sc. Mm. 5 



(1883) 149-. 



Theorem on product II (x + a*z). Gruson, J. P. 



Berl. Ab. (1814-15) 1 (M th.) 36-. 

 Theories, various, from one principle. Steen, A. 



Mth. Ts. 1 (1859) 145-. 

 Transcendental analysis, principles. Lamarle, 



E. Liege Mm. S. Sc. 2 (1845-46) 221-. 



3210 Theory of functions of 

 real variables. 



Cauchy, A. L. G. E. 43 (1856) 69-. 



Bing, F. Mth. Ts. 4 (1862) 129-, 154-, 



171-. 



Schendel, L. Crelle J. Mth. 84 (1878) 80-. 

 Baire, R. C. E. 125 (1897) 691- ; A. Mt. 3 



(1899) 1-. 



Stefano, A. de. G. Mt. 38 (1900) 178-. 

 Analytic functions. Lagrange, J. L. Par. 



EC. Pol. J. 2 (1798) 232-; 3 (1800) Suppl., 



277 pp. 

 , development for real value of the variables. 



Painleve, . G. E. 126 (1898) 385-. 

 , principles and application. Ferroni, P. 



[1823] Mod. S. It. Mm. 20 (1828) 1-. 

 , problem. Collins, E. [1827] St Pet. 



Ac. Sc. Mm. 1 (1831) 345-. 

 , rational development. Kummer, E. E. 



Crelle J. 41 (1851) 368-. 

 Approximation of functions. Lebesgue, . 



fill. So. Mth. 22 (1898) 278-. 

 Ascending and descending functions. Ceroni, G. 



A. Sc. Lomb. Yen. 11 (1841) 149-, 197- ; 



12 (1842) 123-, 137-. 



3210 



Calculus of functions. Lagrange, J. L. [1799] 

 Par. 86. EC. Norm. 10 (1801) 6- ; Par. EC. 

 Pol. J. 7 (1808) (14 e cah.) Suppl., 90 pp. 



indices of functions. Cauchy, A. L. 

 Par. EC. Pol. J. 15 (1837) (25 e cah.) 

 176-. 



Classification of functions. Schmidten, H. G. 

 Kiob. Ov. (1827-28) 2-. 



Coefficients, limiting or restricting (which re- 

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 A. L. G. E. 37 (1853) 150-. 



Constants of expression, conditions for inde- 

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 Mth. 6 (1880) 167-. 



Continuity. Luroth, J. [1872] Mth. A. 6 

 (1873) 319-. 



. Lamb, H. Manch. Lt. Ph. S. Mm. & P. 

 41 (1897) No. 10, 9 pp. 



and discontinuity, distribution of points in 

 pointwise discontinuous functions of a real 

 variable. Schlmflies, A. Gott. Nr. (1899) 

 187-. 



of functions. Schlomilch, 0. Grunert Arch. 

 12 (1849) 430-. 



, criterion. Stringham, I. As. S. Pac. 



Pb. 2 (1890) 100- ; 3 (1891) 112. 



, method of defining. Ruffini, F. P. 



(xi) Mod. Ac. Sc. Mm. 12 (1871) 3-. 



, theorem. Darboux, G. Bll. Sc. 

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principle, application. Young, J. R. Camb. 

 Phi S. T. 8 (1849) 429-. 



Continuous and discontinuous functions, dif- 

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 A. L. G. E. 40 (1855) 382-. 



discrete quantities, difference. Toschi, A. 



Palomba Eac. 3 (1847) 216-. 



function with discontinuous differential 

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(1889) 97-. 



not admitting of differentiation, a. 

 Schwarz, H. A. Arch. Sc. Ps. Nt. 48 

 (1873) 33-, 242 ; Sch. Nf. Gs. Vh. 56 (1873) 

 252-. 



with oscillations in every interval. 

 Kopcke, A. Mth. A. 34 (1889) 161; 35 



(1890) 104-. 



functions. Cauchy, A. L. C. E. 18 (1844) 

 116- ; 20 (1845) 375-. 



with extreme values in every interval. 



Konig, J. Mh. Mth. Ps. 1 (1890) 7-. 

 of one real variable. Schee/er, L. Acta 



Mth. 5 (1884) 183-, 279-. 



. Broden, T. Crelle J. Mth. 



. 118 (1897) 1-. 



. . Kowalewski, G. Leip. 



Mth. Ps. B. 52 (1900) 214-. 



two real variables. Townsend, E. J. 



[1900] N. Y. Am. Mth. S. Bll. 7 (1901) 



244, 251-. 

 n variables. Riquier, . Par. EC. 



Norm. A. 7 (1890) 265-. 

 Demonstration of a lemma. Chavannes, F. 



Laus. Bll. S. Vd. 2 (1846-48) 284-. 

 Derived functions, class. Formenti, C. Mil. 



I. Lomb. Ed. 26 (1893) 330-, 382-, 482-. 



235 



