10 



Continuous groups of infinite 



order 1240, 5240 



Co-ordinates, curvilinear . . 8450 



Correspondence, Principle of . . 8030 

 Covariants, see Forms. 

 Cubic equations . . . . . . 2430 



residues . . . . . . 2850 



Curvature of plane curves . . 8430 



of skew curves . . . . 8440 



of surfaces . . 8810, 8450, 8830 



Curves, Applications of differen- 

 tial calculus to .. 8^130,8440 



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 



• Rectification of . . . . 8460 



Systems of 8090 



— — transcendental . . . . 8470 



and surfaces, Sj stems of . . 8090 



on surfaces . . . . 8040, 8810 



Curvilinear co-ordinates. . . . 8450 



Cyclotomy 2880 



Definite integrals . . , . 3260 



Functions defined 



by 4410-4440 



■ in integration of 



equations of phy-^^ics . . 5650 

 of ordinary 



linear equations .. 4430,4860 

 Deformation of surfaces. . . . 8850 



Descriptive geometry . . . . 6840 



Determinants . . . . . . 2010 



Dictionaries 0030 



Differences, Calculus of . . . . 1040 

 Difference equations . . 6000-6020 

 Differential calculus . . . , 3230 

 Analvtical applications 



of .. ' 



A publications to curves 



8430, 



Appiieations (o geo- 

 metry 



Applications to sur- 

 faces 



equations .. 4450,4800- 



Applications to geo- 

 metry .. ,. 8800 



of matbematical 



physics . . . , 5630 



forms . . . . 5200 



geometry 



invariants . . 



Dirichlet's problem 

 Discrete groups of finite order 

 3210, 



of infinite order 1220, 



Discriminants 



3240 



8440 



8400 



8450 

 5660 



■8870 



5060 

 5240 



. . 8800 

 1230, 1240, 5240 



. . 5660 



2450 

 4440 

 2020 



Distributions 1620 



Distribution of prime 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 hyperspace. . 84S0, 8870 



of space 8080 



Elliptic functions 4040, 4050, 4440, 8050 

 Enumerative geometry 8070, 7230, 7260 

 Equations, algebraic . . 2400-2460 



cubic 2430 



quartic 2430 



' simultaneous . . . . 2460 



special 2430 



Eulerian functions . . . , 4410 



Existence of irrational numbers 0420 



of roots of equations . . 2410 



of transcendental numbers 0420 



theorems for solution of 



differential 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 differential 



equations of . . . . 4830 



Forms, binary . . . . 2050, 2830 



differenii .. ., 5200-5240 



in more than three variables 



2070, 2840 



of higl er degree, numerical 



2860, 2870 



ternary . . . , 2060, 2840 



Foundations of arithmetic 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 . . . . 4420, 4450 



of complex variables 3600-3630 



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 



