Index to the Mathematical Gazette No. 102, Jan. 1913—No. 114, December 1914

Abstract

General theory of functions and its application to algebraical and circular functions; infinite series and expansions, especially infinite products and continued fractions considered from the algebraical point of view; Bernoulli's numbers ; spherical and analogous functions. Definite integrals, and Eulerian integrals in particular. Elliptic functions with their applications. HypereUiptic, Abelian, and Fuchsian functions. Differential equations, and equations with partial differences; functional equations ; equations with finite differences ; recurrent series. Arithmetic and theory of numbers ; indeterminate analysis; arithmetical theory of forms and of continued fractions; the division of the circle; complex, ideal, and transcendental numbers. Combinatory analysis; probabilities; calculus of variations; general theory of groups of transformations (omitting Galois groups (A), groups of linear substitutions (B), and groups of geometrical transformations (P); Cantor's theory of aggregates. Geometry and Trigonometry; projective and descriptive geometry; perspective. Conies, quadrics, etc., of the second degree. Algebraic and transcendental curves, surfaces, etc. Complexes and congruences ; connexes ; systems of curves, surfaces, etc.; enumerative geometry. Infinitesimal and kinematic geometry; geometrical applications of the differential and integral calculus to the theory of curves, surfaces, etc. ; quadrature and rectification ; curvature ; asymptotes ; geodesies, lines of curvature ; areas and volumes ; minima surfaces ; orthogonal systems. Geometrical transformations ; homography ; homology and affinity ; correlation and reciprocal polars; birational and other transformations. Geometries; generalities on geometry of n dimensions; non-Euclidean geometry ; analysis situs ; the geometry of situation. APPLIED MATHEMATICS. General Mechanics ; kinematics ; statics, comprising centres of gravity and moments of inertia; dynamics ; mechanics of solids ; friction ; attraction of ellipsoids.

The Pyrogenesis of Hydrocarbons

“…_Greenstreet (55,56,128) passes heavy hydrocarbon oils mixed with steam by an atomizer through a continuous coil of pipe, free from obstructions, about 100 ft. long and 1V2 in. diameter, kept at cherry-red temperature, the oil and steam being supplied at 50 and 100 lbs.…”