10 



Continuous groups of infinite 



order 1240, 5240 



Co-ordinates, curviiinear . . 8450 



Corresj5ondence, Principle of . . 8030 

 Co variants, see Furms. 

 Cubic equations .. .. .. 2430 



residues . . . . . . 2S50 



Curvature of plane curves . . 8430 



of skew curves . . . . 8440 



of surfaces . . 8810, 8450, 8830 



Curves, Applications of differen- 

 tial calculus to .. 8430,8440 



algebraic .. .. 7200-8100 



Genus of . . . . 8030 



Groups of points on. . 8030 



plane, Conic sections of 7200-7230 



of degree higher than 



the second . . 7600-7630 



Quadrature of . . . . 8460 



Eeotification of . . . . 8460 



Systems of 8090 



transcendental . . . . 8470 



■ and surfaces. Systems of . 8090 



on surfaces . . . . 80 JO, 8810 



Curvilinear co-ordinates. . .. 8450 



Cydotomy 2880 



Detinite integrals .. .. 32HO 



Functions defined 



by 4410-4440 



in integration of 



equations of physics . . 5650 



of ordinary 



linear equations .. 4430,4860 

 Deformation of surfaces. . . . 8850 



Descriptive geometry . . . . 6840 



Determinants .. .. .. 2010 



Dictionaries . . . . . . 0030 



Differences, Calculus of . . .. 1640 



Difference equations . . 6000-6020 

 Differential calculus . . 3230 



' Analytical applications 



of 32-10 



Applications to curves 



8430, 8440 



Applications to geo- 

 metry .. .. 8400 



Applications lo sur- 

 faces 8450 



equations . . 4450, 4800-5660 



Applications to geo 



met ry 



of 



physics 

 forms 

 gtomt'l ry 

 invariants 

 Dirichlet's problem 



8800-8870 

 mathematical 



563n-5r60 



5200-5240 



. . 8S00 



1230, 1240, 5240 



. . 5660 



Discrete groups of finite order 



]210, 2450 



of infinite order 1220, 4440 



Discriminants . . . . . . 2020 



Distributi(«ns 1620 



Distribution of jirime numbers. . 2900 

 Divisibility of algebraic quantities 1610 



of numbers 2810 



Division in transformation of 



elliptic functions , . . . 4050 



Duality 8010 



Dynamics, theoretical. Differential 



equations of .. .. .. 4830 



Economics 0060 



Elements of byperspace. . 8490, 8870 



of space 8080 



Elliptic functions 4040, 4050, 4440, 8050 

 Enumerative geometry 8070, 7230, 7260 

 Equations, algebraic * . . 2400-2460 



cubic 2430 



quartic 2430 



sinuiltaneous . . . . 2460 



special . . . . 2430 



Euierian funt ticns . . . . 4410 



Existence of irrational numbei's 0420 



of roots of equations . . 2410 



of transcendental numbers 0420 



theorems for solution of 



diti'erential equations . . . . 4810 



Expansion in series of functions 



3630. 5610 5620 



of powers 3220, 3240 



Exponential functions . . . . 4030 



Finite differences, Equations of 6020 

 First order, Ordinary non-linear 



equations of . . . . 4870 



Partial diHerential 



equations of . . . . 4830 



Forms, binary . . . . 2050, 2830 



differential.. .. 5200 5240 



in more than three variables 



2070, 2S40 



of higlier degree, numerical 



2860, 2870 



ternary . . . . 2060, 2840 



Foundations of aritlimetic 0400-0430 

 Fourier's series .. .. .. 5610 



Fractions, rational .. 2410 

 Functional equations . . 6000-6030 

 Special functions de- 

 fined by 4460 



Functions, algebraic . . 4000-4070 



defined by definite integrals 



4410-4440 



by functional equations 



4420, 4460 



by linear differential 



equations.. .. 44:i0. 4450 



of complex variables 3«i(K)-3630 



of real variables 3210 



of roots, symmetric . . 2410 



of several variables 3640,4020,4070 



Special numerical . . . . 2910 



Galois, Theory of . . . . 2450 



Genus of curves . . . . . . 8030 



