Emergence of the Theory of Lie Groups

Name: Emergence of the Theory of Lie Groups
Brand: Springer, New York, Springer US
SKU: 23787562
Price: 171.19 EUR
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An Essay in the History of Mathematics 1869-1926 (Sprache: Englisch)

Autor: Thomas Hawkins

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Emergence of the Theory of Lie Groups, Thomas Hawkins

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Klappentext zu „Emergence of the Theory of Lie Groups “

The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.

Inhaltsverzeichnis zu „Emergence of the Theory of Lie Groups “

- Preface

- The Geometrical Origins of Lie's theory

- Jacobi & The Analytical Origins of Lie's Theory

- Lie's Theory of Transformation Groups 1874-1893

- Non-euclidean Geometry & Weierstrassian Mathematics

- Killing & the Structure of Lie Algebras

- The Doctoral Thesis of Elie Cartan

- Lie's School & Linear Representations

- Cartan's Trilogy: 1913-14

- The Gtingen School of Hilbert

- The Berlin Algebraists: Frobenius & Schur

- From Relativity to Representations

- Weyl's Great Papers of 1925 & 1926

- References

- Index

Bibliographische Angaben

Autor: Thomas Hawkins
2000, 584 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
Verlag: Springer, New York
ISBN-10: 0387989633
ISBN-13: 9780387989631
Erscheinungsdatum: 19.07.2000

Sprache:

Englisch

Rezension zu „Emergence of the Theory of Lie Groups “

"....this study is just as clearly a stunning achievement. Few historians of mathematics have made a serious attempt to cross the bridge joining the nineteenth and twentieth centuries, and those who have made the journey have tended to avert their eyes from the mainstream traffic....the single greatest merit of Hawkins' book is that the author tries to place the reader in the middle of the action, offering a close up look at how mathematics gets made...Hawkins' account of this strange but wonderful saga resurrects a heroic chapter in the history of mathematics. For anyone with a serious interest in the rich background developments that led to modern Lie theory, this book should be browsed, read, savored, and read again."

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