1640 Calculus of Differences, etc. 



Linear difference forms with commutative 



factors of prime degree. Torelli, G. Nap. 



Ed. 35 (1896) 238-. 

 Measurement of cylinder. Rasch, J. W. N. 



Arch. Wisk. 7 (*1881) 117-. 

 Mortality tables, theory. Samot, D.J. A. N. 



Arch. Wisk. 3 (M877) 145- . 

 Numerical solution and reversion of series, 



remark on Woolhouse's paper. De Morgan, 



A. I. Act. J. 15 (*1870) 327-. 

 Partial differences. Euler, L. [1777] St 



Pet. Ac. Sc. N. Acta 15 (1806) 3-. 



summation. Helm, G. Z. Mth. Ps. 22 

 (1877) 400-. 



Plurality of integrals in calculus of differences. 



Poisson, S. D. [1800] Par. EC. Pol. J. 4 



(1801-2) (11 cah.) 173-. 

 Progression, arithmetical, successive differences 



of powers of terms. Lhuilier, S. Gergonne 



A. Mth. 2 (1811-12) 185-. 

 Progressions, arithmetical, whose terms are 



only approximately known. Lucas, F. C. B. 



96 (1883) 1026-. 



with 2nd and 3rd differences. Jadanza, N. 

 G. Mt. 6 (1868) 375-; 7 (1869) 17-. 



Quadrature, arithmetical. Danielsson Hill, 

 C. J. Stockh. Ak. Hndl. (1854) 405-. 



, Gauss's formula, and Hermite's formula of 

 interpolation. Mansion, P. C. E. 104 

 (1887) 488-. 



, , remainder in. Mansion, P. Brux. 



Ac. Bll. 11 (1886) 293-. 



Quadratures and interpolation, report on 

 present knowledge of actual application. 

 Merrifteld, C. W. B. A. Bp. (1880) 321-. 



Eational approximation to non-rational homo- 

 geneous function. Eesal, H. A. C. E. 80 

 (1875) 1185-. 



fractions, integration by finite differences of. 

 Beyer, E. I. von. (xn) Bee. Mth. (Moscou) 

 4 (1869-70) (Pt. 1) 297-; 5 (1870) (Pt. 1) 

 64-, 145-. 



Beduction of higher differences when the 



constant increment is changed. Gudermann, 



C. As. Nr. 26 (1848) 315-. 

 Beversion of series and its application to 



solution of numerical equations. Hagen, 



J. G. Am. Ph. S. P. 21 (1884) 93-. 

 Second differences in interpolation, easy method 



of taking into account. Nell, . Arch. 



Mth. Ps. 70 (1884) 302-. 

 Series of numbers and their interpolation. 



Ruff, H. Arch. Mth. Ps. 17 (1900) 426-. 

 , summation by differences. Fuss, N. St 



Pet. Ac. Sc. Mm. 11 (1830) 246-. 

 Simpson's formula and another. Catalan, 



E. C. N. A. Mth. 10 (1851) 412-. 

 for approximation to areas. Daug, H. T. 



Stockh. Ofv. 17 (1860) 429-. 



method of interpolation, simplification. 

 Parmentier, T. N. A. Mth. 15 (1876) 241-. 



rule, history. Heinrich, G. Bb. Mth. 1 

 (1900) 90-. 



Solution of linear equations with large number 

 of unknowns by successive approximation, 

 Seidel's process. Mehmke, R. Eec. Mth. 

 (Moscou) 16 (1893) 342-. 



Linear Substitutions 2000 



Solution of system of linear equations by succes- 

 sive approximation. Mehmke, R. , & Nekrasov, 

 P. A. [1892] Eec. Mth. (Moscou) 16 (1893) 

 437-. 



Stirling's formula. Serret, J. A. C. E. 50 

 (1860) 662-. 



. Bonnet, 0. C. E. 50 (1860) 862-. 



, elementary proof. Cesdro, E. N. A. 



Mth. 2 (1883) 43-. 



, extension. Hermite, C. Mth. A. 41 



(1893) 581-. 



and other interpolation formulae. Stuart, 



G. H. Mess. Mth. 19 (1890) 19-. 



series generalised, applications. Raabe, 

 J. L. Zur. Mt. 3 (1853-55) 332-. 



for interpolation by symmetric differences. 



Merrifield, C. W. [1866] Mess. Mth. 4 



(1868) 110-. 

 Successive differences of observations. Breger, 



. C. B. 93 (1881) 1119-. 

 Sums and differences, theory, higher examples. 



Vdllas, A. Mag. Ak. Ets. (1850) 381-. 



,. (Schlomilch.) Oettinger, L. 

 Grunert Arch. 13 (1849) 36-. 



Table of A TO O n -7-n(m). Cayley, A. [1879] 



Camb. Ph. S. T. 13 (1883) 1-. 

 Time growth equation of trees. Blonay, H. de. 



Laus. S. Vd. Bll. 28 (1892) 207-. 



of vegetation in forests, interpolation 

 applied to. Regneault, E. E. Nancy Mm. 

 S. Sc. (1838) 169-. 



observations, interpolation. Thiele, T. N. 

 Leip. As. Gs. Vjschr. 22 (1887) 302-. 



Trigonometrical formulae of interpolation. 



Fouret, G. C. E. 99 (1884) 963-, 1011-, 



1044, 1062-, 1140-. 

 Trigonometry, finite differences in. Cagnoli, 



A. Mod. Mm. S. It. 8 (1799) 2 14-. 

 Value of A'HV'VM" 1 where m and n are very 



large. Tait, P. G. Edinb. Mth. S. P. 5 



(1887) 83-. 

 Values of A'H), tables. Herschel, J. \attributed 



to Lacroix in (m)]. N. A. Mth. 13 (1854) 272-. 

 Variations, finite, analytical. Lorgna, A. M. 



Verona S. It. Mm. 4 (1788) 156-. 



Linear Substitutions. 

 2000 General. 



Distributive operations and homography. Pin- 

 cherle, S. Mil. I. Lomb. Ed. 29 (1896) 397-. 



Extraction of roots by substitutions. Levanen, 

 S. Helsingf. Ofv. 34 (1892) 28-; Fschr. 

 Mth. (1892) 135. 



Formulas given by Eisenstein and Hesse, note 

 on two. Cayley, A. Crelle J. 29 (1845) 

 54-. 



Integral functions of a system of mn variables 

 which form m rows and n columns. Mertens, 

 F. Krk. Ak. (Mt.-Prz.) Pam. 17 (1890) 

 143- ; Fschr. Mth. (1890) 186-. 



Linear substitutions. Stephanos, C. Liouv. J. 

 Mth. 6 (1900) 73-. 



126 



