Felix Klein and Sophus Lie by I. M. Yaglom (PDF)

Description

Text: English (translation) Original Language: Russian

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Unfortunately Birkhauser let it go out of print and there’s currently only one used copy for sale for an exorbitant price. I could write a lengthy review to encourage you to buy a copy if it was available at a fair price.Briefly, 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, despite the book’s title.P.S. This book was subsequently reprinted under a different title: Geometries, Groups and Algebras in the Nineteenth Century.

⭐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.All of this only occupies the first half of the book, the second half consists of extensive notes to the former, intended to help the reader deepen her understanding of the subject in a second reading.I think this book is very readable and should be accessible to any interested reader who has a slight understanding of the terms used so far in this review. In particular I enjoyed the details of the lives of the mathematicians involved and how the whole story seemed to culminate in the works of Lie and Klein.

Keywords

Free Download Felix Klein and Sophus Lie in PDF format
Felix Klein and Sophus Lie PDF Free Download
Download Felix Klein and Sophus Lie 1990 PDF Free
Felix Klein and Sophus Lie 1990 PDF Free Download
Download Felix Klein and Sophus Lie PDF
Free Download Ebook Felix Klein and Sophus Lie