3250 



Integral Calculus; etc. 



Integrability of functions, altered form of con- 

 dition for. Du Bois-Reymond, P. [1874] 

 Crelle J. Mth. 79 (1875) 259-. 



, conditions. Mainardi, G. Mod. S. 

 It. Mm. 1 (1862) 79-. 



, criteria. Brioschi, F. [1853] Mod. 



Mm. S. It. 25 (1855) 205-. 



of integrable functions, theorem. 

 Du Bois-Reymond, P. [1881] Munch. Ak. 

 Sb. 12 (1882) 240-. 



, general theorem. Du Bois-Reymond, P. 

 [1879] Mth. A. 16 (1880) 112. 



of a series of functions. Giuliani, G. G. Mt. 

 24 (1886) 44-, 333. 



INTEGEAL CALCULUS. 



Lorgna, A. M. Verona S. It. Mm. 2 (1784) 



177-. 



Soldner, J. Gilbert A. 39 (1811) 231-. 

 Cauchy, A. L. [1824] Par. Mm. Ac. Sc. 22 



(1850) 39-. 



Franchini, P. Lucca At. Ac. 4 (1828) 141-. 

 Talbot, W. H. F. Phil. Trans. (1836) 177- ; 



(1837) 1-. 

 De Morgan, A. [1851] Camb. Ph. S. T. 9 



(1856) 107-. 

 Brassinne, E. Toul. Ac. Sc. Mm. 6 (1874) 



599-. 



Stolz, O. Innsb. Nt. Md. B. 5 (1875) 24-. 

 Lerch, M. 6asopis 22 (1893) 298-; Fschr. 



Mth. (1893-94) 488. 

 algebraic analogies. Brassinne, E. Toul. Mm. 



Ac. 6 (1850) 14- ; 1 (1851) 290- ; N. A. Mth. 



12 (1853) 82-. 

 application of inequalities. La Vallee-Poussin, 



C. de. Brux. S. Sc. A. 16 (1892) (Pt. 1) 8-. 

 applications, geometric. Roberts, W. Liouv. 



J. Mth. 15 (1850) 209-. 



of geometry to. Laguerre, E. (x) Par. S. 

 Phlm. Bll. 4 (1867) 81-. 



arithmetical and geometrical, difference be- 

 tween. Unferdinger, F. Wien Sb. 56 (1867) 

 (Ab. 2) 272-. 



Condorcet's treatise. Ferroni, P. Verona S. 

 It. Mm. 5 (1790) 130-. 



direct method. Simonojf, I. Zach Cor. 11 

 (1824) 438-. 



Du Bourguet's theorem, confutation. Sar- 

 mento, J. L. Coimbra I. 6 (1858) 179-. 



Euler's approximate formula. ImSeneckij, V. G. 

 St Pet. Ac. Sc. Mm. (Rs.) 62 (1890) 45-. 



exercises in. Cockle, (Sir) J. [1870-81] Mess. 

 Mth. 1(1872) 5-, 64-; 3(1874)108-; 4(1875) 

 11-, 25-, 150- ; 5(1876)150-; 6(1877)116-; 

 10 (1881) 15-. 



extensions. Grunert, J. A. Grunert Arch 

 18 (1852) 241-. 



formula. Brioschi, F. Nap. Ed. 3 (1864) 63-. 



. Didon, F. Par. EC. Norm. A. 2 (1873) 

 31-. 



in attraction theory. Morera, G. Palermo 

 Cir. Mt. Ed. 10 (1896) 75-. 



formulae. Serret, J. A. Liouv. J. Mth. 8 



(1843) 1-. 

 . Cayley, A. Liouv. J. Mth. 12 (1847) 



3250 



Mh. 



formula. Dantscher von Kollesberg, V. 

 Mth. Ps. 1 (1890) 92-. 



fundamental principle, want of generality. 

 Gosiewski, W. [1882] (XH) Krk. Ak. (Mt.- 

 Prz.) Ez. & Sp. 10 (1883) 141-, Lin. 



theorem I F' (x) dx = F (b) - F (a) , demon - 



3m I . 



, u 



stration. Du Bois-Reymond, P. [1879] Mth. 



A. 16 (1880) 115-. 

 paradoxes. Brougham and Vaux, (Lord). C.E. 



44 (1857) 1134-, 1177-. 



principles. Volterra, V. G. Mt. 19 (1881) 333-. 

 problems. Fuss, N. St Pet. Ac. Sc. Mm. 5 



(1815) 177. 

 . Catalan, E. C. Liouv. J. Mth. 6 (1841) 



340-, 419-. 

 . Le Francois, (Prof.) . Brux. Mm. Cour. 



4, 22 (1846-47) 24 pp. 



. Roberts, W. Tortolini A. 2 (1851) 150-. 

 . Serret, J. A. Par. EC. Norm. A. 6 (1869) 



177-. 



. Petit-Bois,G. (xn) Mathesis 2 (1882) 233-. 

 . Mansion, P. (xn) Mathesis 2 (1882) 236-. 

 . Ball, L. de. As. Nr. 126 (1891) 333-. 

 relations to geometry. Meyer, W. F. Ens. 



Mth. 1 (1899) 343-. 

 Talbot's researches, and more general solution. 



Peirce, B. Mth. Misc. 1 (1838) 404-. 

 theorems. Fuss, N. [1806-22] St Pet. Ac. Sc. 



Mm. 4 (1813) 205- ; 11 (1830) 268-. 

 . Cauchy, A. L. C. E. 13 (1841) 1087-, 



1130- ; 21 (1845) 407-. 

 . Brassinne, E. C. E. 43 (1856) 1190-. 

 . Sylvester, J. J. (vm) Ph. Mg. 26 (1863) 



293-. 



. Winckler, A. Wien. Az. 1 (1864) 92-. 

 . Bierens de Haan, D. B. A. Ep. 37 (1867) 



(Sect.) 4-. 



. Crofton, M. W. C. E. 68 (1869) 1469-. 

 . Besge, V. A. Liouv. J. Mth. 19 (1874) 



423-. 

 . Ascoli, G. Mil. I. Lomb. Ed. 12 (1879) 



215-. 

 .arithmetical proof. Smith, H.J.S. L. Mth. 



S. P. 4 (1871-73) 249-. 

 .elementary. Fergola, E. Nap. Ed. 3 (1864) 



256-. 

 , extension. Liouville, J. C. E. 42 (1856) 



985-. 

 required in. Grunert, J. A. Arch. Mth. 



Ps. 45 (1866) 279-. 

 use of continued fractions. Kausler, C. F. 



[1803] St Pet. Ac. Sc. Mm. 1 (1809) 181-. 

 imaginaries. Euler, L. [1777] St Pet. 



Ac. Sc. N. Acta 12 (1801) 3-. 



231-. 



Integral of Euler. Lerch, . Bll. Sc. Mth. 

 16 (1892) 337-. 



in Euler's " Theoria motus corporum." 

 Wolfers, J. P. Grunert Arch. 14 (1850) 111-. 



forms. Schlomilch, O. Schlomilch Z. 6 

 (1861) 205- ; 7 (1862) 262-. 



formula. Silva, J. A. Martins da. [1878] 

 G. Teix. J. Sc. 2 (1880) 167-. 



. Beltrami, E. Mil. I. Lomb. Ed. 12 



(1879) 421-. 



268 



