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

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9784871878364: Geometries, Groups and Algebras in the Nineteenth Century - A History
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Yaglom's treatise is a history primarily of geometries, groups and algebras in the nineteenth century, spilling over into the early part of the twentieth century. The less advanced mathematics is clearly explained, while the more advanced material is described, examples are given, and the reader is provided references in the notes for further study. Yaglom includes biographical information that makes his presentation colorful. A theme that occurs throughout the book is the rather rough classification of certain mathematicians as left-brained "logicians" vs. right-brained "physicists," who have approached their subjects differently and were sometimes antagonistic to one another. The book is based on the author's lectures to graduate-level students majoring in "pure" mathematics, most of whom subsequently go on to teach in secondary schools. This probably influenced the choice of material and the nature of the narrative.

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Isaak Moiseevich Yaglom (born 6 March 1921, Kharkov, Ukraine - died 17 April 1988, Moscow, USSR) was a Soviet mathematician and author of popular mathematics books.

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Isaak Moiseevich Yaglom
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Book Description Ishi Press, United States, 2009. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****. 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. Seller Inventory # AAV9784871878364

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Book Description Ishi Press 10/5/2009, 2009. Paperback or Softback. Condition: New. Geometries, Groups and Algebras in the Nineteenth Century - A History. Book. Seller Inventory # BBS-9784871878364

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Book Description Ishi Press, United States, 2009. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.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. Seller Inventory # AAV9784871878364

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Book Description Ishi Press. Paperback. Condition: New. 268 pages. Dimensions: 9.1in. x 6.0in. x 0.7in.Yagloms treatise is a history primarily of geometries, groups and algebras in the nineteenth century, spilling over into the early part of the twentieth century. The less advanced mathematics is clearly explained, while the more advanced material is described, examples are given, and the reader is provided references in the notes for further study. Yaglom includes biographical information that makes his presentation colorful. A theme that occurs throughout the book is the rather rough classification of certain mathematicians as left-brained logicians vs. right-brained physicists, who have approached their subjects differently and were sometimes antagonistic to one another. The book is based on the authors lectures to graduate-level students majoring in pure mathematics, most of whom subsequently go on to teach in secondary schools. This probably influenced the choice of material and the nature of the narrative. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Seller Inventory # 9784871878364

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