5600 Physical Problems 



Beciprocants, ternary (cyclicants) , and allied 



functions. Elliott, E. B. [1888] L. Mth. 



S. P. 19 (1889) 377-. 

 , and n-ary. Elliott, E. B. L. Mth. 



S. P. 17 (1887) 172-. 

 Eeciprocants, theory. Sylvester, J. J. Am. J. 



Mth. 8 (1886) 196- ; 9 (1887) 1-, 113-, 297- ; 



10 (1881) 1-. 

 , , results connected with. Leudesdorf, C. 



L. Mth. S. P. 17 (1887) 197-. 

 Resolvent of linear differential equations. 



Beke, E. Mth. A. 46 (1895) 557-. 

 Singularities of partial differential equations, 



1st order. Marotte,F. C. E. 123 (1896) 933-. 

 Ternary quadratic forms. Ricci, G. Em. E. 



Ac. Line. Ed. 5 (1889) (Sem. 1) 643-. 

 Transformations with differential invariant. 



Haton de la Goupilliere, J. N. Liouv. J. Mth. 



2 (1876) 241-. 



Analytical methods connected with 

 physical problems. 



5600 General. 



Applied mathematics. Franceschinis, F. M. 

 Mil. G. S. Inc. 4 (1808) 1-. 

 . Eunge, C. Mth. A. 44 (1894) 437-. 



Calculus, application to interpretation of 

 natural phenomena and discovery of their 

 laws. Perard,L. Brux. A. Un. (1849-50)469-. 



of residues, application to mathematical 

 physics. Cauehy, A. L. Par. Mm. Ac. Sc. 

 7 (1827) 463-. 



Continuous functions with no derivative in 

 elements of mechanics. Appell, P. , <& Janatid, 

 . C. E. 93 (1881) 1005-. 



Dirichlet's integral. Broden, T. Mth. A. 52 

 (1899) 177- 



method for finding coefficients of Gauss's 

 series. Kronecker, L. Hamb. Mth. Gs. 

 Mt.2 (1890) (Festschr., Tl. 2) 32-. 



of transformation applied to 



dx ay dz 



ox dy dz ' 

 Meyer, F. Mth. A. 26 (1886) 509-. 



Expansion of arbitrary functions of 1 variable 

 in trigonometric series, history. Sachse, A. 

 Z. Mth. Ps. 25 (1880) (Suppl.) 229-. 



functions in series of continuous func- 

 tions with varying parameter. Pagani, G. M. 

 [1828] Brux. Ac. Sc. Mm. 5 (1829) 5-. 



periodic quantities, with 



applications. Poisson, S. D. Par. EC. Pol. 

 J. 18 e cah. (1820) 417-. 



, terms of which satisfy same 

 differential equation of 2nd order with 

 variable parameter. Liouville, J. [1835-37] 

 Liouv. J. Mth. 1 (1836) 253- ; 2 (1837) 16-, 418-. 



, linear differential 



equation with variable parameter. Liouville, 

 J., d- Sturm, C. Liouv. J. Mth. 2 (1837) 220-. 



Green's function, existence in plane simply 

 7. N. Y. 



connected region. Osgood, W. F. 

 Am. Mth. S. T. 1 (1900) 310-. 



Harmonic Analysis 5610 



Harmonic functions. Harris, E. A. [1898] 

 N. Y. Am. Mth. S. Bll. 5 (1899) 89, 96-. 



, class analogous to. Liouville, J. Liouv. 



J. Mth. 10 (1845) 327-. 



Homogeneity in physics. Vaschy, A. C. B. 

 114 (1892) 1416-. 



Line and surface integrals, generalisation of 

 Stokes's theorem. Gilbert, . Brux. S. Sc. 

 A. 16 (1892) (Pt. 1) 2-. 



Mathematical expressions for physical quanti- 

 ties, permanence of form. Gu-yther, E. F. 

 Manch. Lt. Ph. S. Mm. & P. 9 (1895) 119-. 



physics, application of linear systems. 

 Larose, H. A. Tel. 23 (1896-97) 259-. 



and pure analysis, relations. Poincare, 



H. Acta Mth. 21 (1897) 331-. 

 Mathematics, application to natural science. 



Petzval, J. Wien Aim. (Anh.) (1858) 187-. 

 , physics. Liebermeister, C. Erdm. 



J. Pr. C. 84 (1861) 416-. 

 , influence on physics. Collins, E, St Pet. 



Ac. Sc. Eec. (1837) 179-.. . 



and physics, relations. Orsted, H. C. Oken 

 Isis (1831) 854-. 



Operators in physical mathematics. Heaviside, 



0. E. S. P. 52 (1893) 504- ; 54 (1894) 105-. 

 Periodic series. Meyer, A. [1850] Crelle J. 



43 (1852) 60-. 

 Physical data applicable to mathematics. 



Rawson, E. [1847] Manch. Ph. S. Mm. 



8 (1848) 329-. 

 Physics, principles of algebra of. Macfarlane, 



A. Am. As. P. (1891) 65-. 



Solution, general, of Maxwell's equations. 

 Birkeland, K. Arch. Sc. Ps. Nt. 34 (1895) 5-. 



of problems of electricity by transformation 

 of conjugate functions. Maxwell, J. C. 

 [1871] (vra) Camb. Ph. S. P. 2 (1876) 242-. 



Theory of matrices, application to linear 

 differential equations. Brill, J. Camb. Ph. 

 S. P. 8 (1895) 201-. 



Transformation of coordinates in heat problems. 

 Bertrand, J. Liouv. J. Mth. 14 (1849) 1-. 



Use of Eiemann surface in applied mathe- 

 matics. Carslaw,H.S. B. A. Bp. (1900) 644-. 



Vector functions. Burkliardt, H. Mth. A. 43 

 (1893) 197-. 



and their applications to physics. Elie, 



B. Bordeaux S. Sc: Mm. 3 (1893) 1-. 



5610 Harmonic analysis; Fourier's 

 series. (See also 3220.) 



FOUEIEE'S SEBIES. 



(Conduction of heat.) Fourier, J. B. J. 



[1807-11] Par. S. Phlm. N. Bll. 1 (1807) 



112- ; Par. Mm. Ac. Sc. 4 (1824) 185- ; 5 



(1826) 153-. 



Thomae, J. Z. Mth. Ps. 17 (1872) 78-. 

 Du Bois-Eeymond, P. Gott. Nr. (1873) 571-. 

 Ascoli, G. [1873-78] A. Mt. 6 (1875) 21-, 



298- ; Em. E. Ac. Line. Mm. 2 (1878) 584-. 

 Jordan, C. C. E. 92 (1881) 228-. 

 Halphen, G. H. C. E. 95 (1882) 1217-. 

 Veltmann, W. Z. Mth. Ps. 27 (1882) 193-. 



400 



