Emergence of the Theory of Lie Groups : An Essay in the History of Mathematics 1869–1926
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The work Emergence of the Theory of Lie Groups : An Essay in the History of Mathematics 1869–1926 represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Emergence of the Theory of Lie Groups : An Essay in the History of Mathematics 1869–1926
Resource Information
The work Emergence of the Theory of Lie Groups : An Essay in the History of Mathematics 1869–1926 represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Emergence of the Theory of Lie Groups : An Essay in the History of Mathematics 1869–1926
 Title remainder
 An Essay in the History of Mathematics 1869–1926
 Statement of responsibility
 by Thomas Hawkins
 Language

 eng
 eng
 Summary
 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 nonEuclidean 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 Cartans work on the representation of Lie algebras. The final part describes the influential, unifying contributions of Hermann Weyl and their context: Hilberts Göttingen, general relativity and the FrobeniusSchur 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
 Dewey number
 512.2
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 6V0b_4v3A3I
 Image bit depth
 0
 Language note
 English
 LC call number
 QA174183
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Sources and Studies in the History of Mathematics and Physical Sciences,
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