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The Resource Emergence of the Theory of Lie Groups : an Essay in the History of Mathematics 18691926, by Thomas Hawkins, (electronic resource)
Emergence of the Theory of Lie Groups : an Essay in the History of Mathematics 18691926, by Thomas Hawkins, (electronic resource)
Resource Information
The item Emergence of the Theory of Lie Groups : an Essay in the History of Mathematics 18691926, by Thomas Hawkins, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Emergence of the Theory of Lie Groups : an Essay in the History of Mathematics 18691926, by Thomas Hawkins, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 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
 Language
 eng
 Extent
 1 online resource (xiii, 566 pages).
 Contents

 Preface
 The Geometrical Origins of Lie's theory
 Jacobi & The Analytical Origins of Lie's Theory
 Lie's Theory of Transformation Groups 18741893
 Noneuclidean Geometry & Weierstrassian Mathematics
 Killing & the Structure of Lie Algebras
 The Doctoral Thesis of Elie Cartan
 Lie's School & Linear Representations
 Cartan's Trilogy: 191314
 The Göttingen School of Hilbert
 The Berlin Algebraists: Frobenius & Schur
 From Relativity to Representations
 Weyl's Great Papers of 1925 & 1926
 References
 Index
 Isbn
 9781461212027
 Label
 Emergence of the Theory of Lie Groups : an Essay in the History of Mathematics 18691926
 Title
 Emergence of the Theory of Lie Groups
 Title remainder
 an Essay in the History of Mathematics 18691926
 Statement of responsibility
 by Thomas Hawkins
 Language
 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
 Cataloging source
 AU@
 http://library.link/vocab/creatorName
 Hawkins, Thomas
 Dewey number
 512.2
 Index
 no index present
 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
 http://library.link/vocab/subjectName

 Mathematics
 Group theory
 Group theory
 Mathematics
 Label
 Emergence of the Theory of Lie Groups : an Essay in the History of Mathematics 18691926, by Thomas Hawkins, (electronic resource)
 Antecedent source
 file reproduced from original
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  The Geometrical Origins of Lie's theory  Jacobi & The Analytical Origins of Lie's Theory  Lie's Theory of Transformation Groups 18741893  Noneuclidean Geometry & Weierstrassian Mathematics  Killing & the Structure of Lie Algebras  The Doctoral Thesis of Elie Cartan  Lie's School & Linear Representations  Cartan's Trilogy: 191314  The Göttingen School of Hilbert  The Berlin Algebraists: Frobenius & Schur  From Relativity to Representations  Weyl's Great Papers of 1925 & 1926  References  Index
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 566 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9781461212027
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461212027
 Quality assurance targets
 unknown
 Reformatting quality
 access
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)853269676
 (OCoLC)ocn853269676
 Label
 Emergence of the Theory of Lie Groups : an Essay in the History of Mathematics 18691926, by Thomas Hawkins, (electronic resource)
 Antecedent source
 file reproduced from original
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Preface  The Geometrical Origins of Lie's theory  Jacobi & The Analytical Origins of Lie's Theory  Lie's Theory of Transformation Groups 18741893  Noneuclidean Geometry & Weierstrassian Mathematics  Killing & the Structure of Lie Algebras  The Doctoral Thesis of Elie Cartan  Lie's School & Linear Representations  Cartan's Trilogy: 191314  The Göttingen School of Hilbert  The Berlin Algebraists: Frobenius & Schur  From Relativity to Representations  Weyl's Great Papers of 1925 & 1926  References  Index
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 566 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9781461212027
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781461212027
 Quality assurance targets
 unknown
 Reformatting quality
 access
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)853269676
 (OCoLC)ocn853269676
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Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

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