A History of Mathematics

Florian Cajori (Autor)

Buch | Hardcover

524 Seiten

1985 | 5th Revised edition
American Mathematical Society (Verlag)
978-0-8284-1303-9 (ISBN)

Infos

This edition covers the period from antiquity to the close of World War 1, with emphasis on advanced mathematics and, in particular, the advanced mathematics of the 19th and early 20th centuries. This volume presents an account of mathematics history for those who cannot devote themselves to an intensive study. Cajori has incorporated an amount of specific detail into a narrative. The index contains over 1600 names, and the reader can learn additional information about the person, such as who John Pell was and some specifics of what he did (and that the Pell equation was named erroneously after him).

Inhalt

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.

Produkt-Details

• Erscheint lt. Verlag: 7.1.1999
• Zusatzinfo: notes, index
• Verlagsort: Providence
• Sprache: englisch
• Gewicht: 725 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
• Themenwelt: Naturwissenschaften
• ISBN-10: 0-8284-1303-7 / 0828413037
• ISBN-13: 978-0-8284-1303-9 / 9780828413039
• Zustand: Neuware