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

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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About the Author:

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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1.

Isaak Moiseevich Yaglom
Editorial: Ishi Press, United States (2009)
ISBN 10: 4871878368 ISBN 13: 9784871878364
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Descripción Ishi Press, United States, 2009. Paperback. Estado de conservación: 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. Nº de ref. de la librería AAV9784871878364

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2.

Isaak Moiseevich Yaglom
Editorial: Ishi Press, United States (2009)
ISBN 10: 4871878368 ISBN 13: 9784871878364
Nuevos Paperback Cantidad: 10
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Descripción Ishi Press, United States, 2009. Paperback. Estado de conservación: 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. Nº de ref. de la librería AAV9784871878364

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Yaglom, Isaak Moiseevich
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ISBN 10: 4871878368 ISBN 13: 9784871878364
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Descripción Ishi Press 10/5/2009, 2009. Paperback or Softback. Estado de conservación: New. Geometries, Groups and Algebras in the Nineteenth Century - A History. Book. Nº de ref. de la librería BBS-9784871878364

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Isaak Moiseevich Yaglom
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Descripción Ishi Press, 2009. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9784871878364

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Yaglom, Isaak Moiseevich
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ISBN 10: 4871878368 ISBN 13: 9784871878364
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Descripción Ishi Press, 2017. Paperback. Estado de conservación: New. Never used! This item is printed on demand. Nº de ref. de la librería 4871878368

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Yaglom, Isaak Moiseevich
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Descripción Ishi Press, 2009. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9784871878364

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Yaglom, Isaak Moiseevich; Bozulich, Richard [Introduction]; Sloan, Sam [Cover Design];
Editorial: Ishi Press (2009)
ISBN 10: 4871878368 ISBN 13: 9784871878364
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Descripción Ishi Press, 2009. Paperback. Estado de conservación: New. Nº de ref. de la librería INGM9784871878364

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Isaak Moiseevich Yaglom
Editorial: Ishi Press (2009)
ISBN 10: 4871878368 ISBN 13: 9784871878364
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Descripción Ishi Press, 2009. Paperback. Estado de conservación: New. book. Nº de ref. de la librería M4871878368

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Isaak Moiseevich Yaglom
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Descripción Ishi Press. Paperback. Estado de conservación: New. Paperback. 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. Nº de ref. de la librería 9784871878364

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Yaglom, Isaak Moiseevich
Editorial: Ishi Press (2016)
ISBN 10: 4871878368 ISBN 13: 9784871878364
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Descripción Ishi Press, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9784871878364_lsuk

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