Geometries, Groups and Algebras in the Nineteenth Century - A History

Name: Geometries, Groups and Algebras in the Nineteenth Century - A History
Brand: ISHI PR
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By Yaglom, Isaak Moiseevich

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Description

I. M. Yaglom has written a very accessible history of 19th century mathematics, with emphasis on interesting biographies of the leading protagonists and on the subjects most closely related to the work of Klein and Lie, whose own work is not discussed in detail until late in the book. Starting with Galois and his contribution to the evolving subject of group theory Yaglom gives a beautiful account of the lives and works of the major players in the development of the subject in the nineteenth century: Jordan, who was a teacher of Lie and Klein in Paris and their adventures during the Franco-Prussian War. Monge and Poncelet developing projective geometry as well as Bolyai, Gauss and Lobachevsky and their discovery of hyperbolic geometry. Riemann's contributions and the development of modern linear Algebra by Grassmann, Cayley and Hamilton are described in detail. The last two chapters are devoted to Lie's development of Lie Algebras and his construction of the geometry from a continuous group and Klein's Erlanger Programm unifying the different approaches to geometry by emphasizing automorphism groups. These last pages are definitely the climax of the book.

Product details

Binding:: Paperback
Number of Pages:: 268
Release Date:: 2009-10-05
Publication Date:: 2009-10-31
Publisher:: ISHI PR
Languages:: Original: English
ISBN10:: 4871878368
ISBN13:: 9784871878364
Weight:: 395 g
Height:: 152 cm
Width:: 229 cm
Thickness:: 15 cm

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