A History of Mathematics

The Babylonians; the Egyptians; the Greeks; the Romans; the Maya; the Chinese; the Japanese; the Hindus; the Arabs; Europe during the Middle Ages; introduction of Roman mathematics; translation of Arabic manuscripts; the first awakening and its sequel; Europe during the 16th, 17th and 18th Centuries; the Renaissance; Vieta to Descartes; Descartes to Newton; Newton to Euler; Euler, Lagrange and Laplace; the 19th and 20th centuries; introduction; definition of mathematics; synthetic geometry - elementary geometry of the triange and circle; link-motion; parallel line, non-Euclidean geometry and geometry of n dimensions; analytic geometry; analysis situs; intrinsic co-ordinates; definition of a curve; fundamental postulates; geometric models; algebra; theory of equations and theory of groups; solution of numerical equations; magic squares and combinatory analysis; analysis; calculus of variations; convergence of series; probability and statistics; differential equations; integral equations, integro-differential equations, general analysis, functional calculus; theories of irrationals and theory of aggregates; mathematical logic; theory of functions; elliptic functions; general theory of functions; uniformization; theory of numbers; Fermat's last theorem, Waring's theorem; other recent researches. Number fields - transcendental numbers. The infinite; applied mathematics; celestial mechanics; problem of three bodies; general mechanics; fluid motion; sound. Electicity; light, energy, heat, potential; relativity; nomography; mathematical tables; calculating machines, planimeters, integraphs.