Descartes: Algebra and Geometry

by J. Gray

Published 1 December 1987

The Route to Calculus

by J. Gray

Published 1 December 1987
This book includes topics such as: Introduction; Tangents, maxima and minima; Area and volume problems; The situation mid-century; Newton; Leibniz; and, further reading.

This book includes features such as: Introduction; the creation of Newton's "Principia"; the content of the "Principia"; the impact of the "Principia"; Rational mechanics; the analysis of nature; and, further reading.

Non-euclidean Geometry

by J. Gray

Published 1 December 1987
This book includes: Introduction; The parallel postulate: A blot on Euclid?; The parallel postulate: 1663-1826; Lobachevskii and Bolyai; Criticisms; Reconsidering non-Euclidean geometry; and, Further reading.

This book includes features such as: Introduction; Theory of equations; the transformation of geometry; the vibrating string; Theory of numbers; an algebraic retrospective; and, further reading.

This book includes: Introduction; The rediscovery of projective geometry in France; The duality controversy; Projective geometry in Germany, 1827-1872; Projective geometry and the re-unification of geometry; The axiomatisation of geometry; and, Further reading.

The Development of the Calculus

by J. Gray

Published 1 December 1987
This book includes features such as: Introduction; Inverse tangent problems; the mature calculi of Newton and Leibniz; the spread of the calculus, 1690-1730; Euler: from geometry to analysis; the Eulerian calculus; and further reading.

This book includes: Introduction; The mathematical community in the early nineteenth century; Number theory; Journals and publishing in the early nineteenth century; Galois and Galois theory; and, The international community of mathematicians.