- Gebundene Ausgabe: 566 Seiten
- Verlag: Springer; Auflage: 2000 (1. August 2000)
- Sprache: Englisch
- ISBN-10: 0387989633
- ISBN-13: 978-0387989631
- Größe und/oder Gewicht: 15,6 x 3,2 x 23,4 cm
- Durchschnittliche Kundenbewertung: Schreiben Sie die erste Bewertung
- Amazon Bestseller-Rang: Nr. 1.617.596 in Fremdsprachige Bücher (Siehe Top 100 in Fremdsprachige Bücher)
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Emergence of the Theory of Lie Groups: An Essay in the History of Mathematics 1869–1926 (Sources and Studies in the History of Mathematics and Physical Sciences) (Englisch) Gebundene Ausgabe – 1. August 2000
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"....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."
-Notices of the AMS
Written by the recipient of the 1997 MAA Chauvenet Prize for mathematical exposition, this book tells how the theory of Lie groups emerged from a fascinating cross fertilization of many strains of 19th and early 20th century geometry, analysis, mathematical physics, algebra and topology. The reader will meet a host of mathematicians from the period and become acquainted with the major mathematical schools. The first part describes the geometrical and analytical considerations that initiated the theory at the hands of the Norwegian mathematician, Sophus Lie. The main figure in the second part is Weierstrass' student Wilhelm Killing, whose interest in the foundations of non-Euclidean geometry led to his discovery of almost all the central concepts and theorems on the structure and classification of semisimple Lie algebras. The scene then shifts to the Paris mathematical community and Elie Cartan's work on the representation of Lie algebras. The final part describes the influential, unifying contributions of Hermann Weyl and their context: Hilbert's Gottingen, general relativity and the Frobenius-Schur theory of characters.The book is written with the conviction that mathematical understanding is deepened by familiarity with underlying motivations and the less formal, more intuitive manner of original conception. The human side of the story is evoked through extensive use of correspondence between mathematicians. The book should prove enlightening to a broad range of readers, including prospective students of Lie theory, mathematicians, physicists and historians and philosophers of science. Alle Produktbeschreibungen
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A major complaint I have of math textbooks generally is that, while most authors can give a clean, efficient technical presentation of their subject, they do not include many historical details. This is unfortunate because any math field is the end result of decades of gradual development motivated by concrete problems, and it's hard to both grasp and appreciate the subject without knowing this context. While textbook authors may not change their habits, Hawkins's book is perfect to fill the gap for the interested student--especially given that a very large portion of today's standard graduate-level mathematics curriculum was developed during this time period covered by this book. (And by the way, the author also has a book on the history of Lebesgue's theory of integration that is very similar in spirit to this one--that's also worth checking out!)