The Resource Emergence of the Theory of Lie Groups : an Essay in the History of Mathematics 1869-1926, by Thomas Hawkins, (electronic resource)

Emergence of the Theory of Lie Groups : an Essay in the History of Mathematics 1869-1926, by Thomas Hawkins, (electronic resource)

Label
Emergence of the Theory of Lie Groups : an Essay in the History of Mathematics 1869-1926
Title
Emergence of the Theory of Lie Groups
Title remainder
an Essay in the History of Mathematics 1869-1926
Statement of responsibility
by Thomas Hawkins
Creator
Subject
Genre
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 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 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 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
Member of
Cataloging source
AU@
http://library.link/vocab/creatorName
Hawkins, Thomas
Dewey number
512.2
Index
no index present
LC call number
QA174-183
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 1869-1926, by Thomas Hawkins, (electronic resource)
Link
http://dx.doi.org/10.1007/978-1-4612-1202-7
Instantiates
Publication
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 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 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
10.1007/978-1-4612-1202-7
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 1869-1926, by Thomas Hawkins, (electronic resource)
Link
http://dx.doi.org/10.1007/978-1-4612-1202-7
Publication
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 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 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
10.1007/978-1-4612-1202-7
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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