The Resource Riemann, topology, and physics, Michael Monastyrsky ; with a foreword by Freeman J. Dyson

Riemann, topology, and physics, Michael Monastyrsky ; with a foreword by Freeman J. Dyson

Label
Riemann, topology, and physics
Title
Riemann, topology, and physics
Statement of responsibility
Michael Monastyrsky ; with a foreword by Freeman J. Dyson
Creator
Contributor
Author
Subject
Genre
Language
  • eng
  • rus
  • eng
Summary
This significantly expanded second edition of Riemann, Topology, and Physics combines a fascinating account of the life and work of Bernhard Riemann with a lucid discussion of current interaction between topology and physics. The author, a distinguished mathematical physicist, takes into account his own research at the Riemann archives of Gttingen University and developments over the last decade that connect Riemann with numerous significant ideas and methods reflected throughout contemporary mathematics and physics. Special attention is paid in part one to results on the RiemannHilbert problem and, in part two, to discoveries in field theory and condensed matter such as the quantum Hall effect, quasicrystals, membranes with nontrivial topology, "fake" differential structures on 4-dimensional Euclidean space, new invariants of knots and more. In his relatively short lifetime, this great mathematician made outstanding contributions to nearly all branches of mathematics; today Riemanns name appears prominently throughout the literature. "The book is highly recommendablefor students and scientific workersnot only for the valuable information in it, but also for its spirit: history and higher mathematics are not dry here; they become alive and motivate further studies."ZAA "This is a new translation of a book first published in English in 1987... Translated from Russian...it consists of two separate but related works. The first is an account of the life and work of Riemann, the second an account of several different topics in physics which are illuminated by the introduction of topological ideas. The discussion of Riemann is even better in the new edition. The mathematical account is richer and various errors have been corrected... The second half has been revised in a similar fashion... It has also been enriched by a new chapter which starts with von Neumann algebras and the work of Vaughn Jones... The book does three things very well: it reminds us of the range and depth of Riemanns interests, which are emblematic of what the author values in mathematical physics; describes some of the many successes of Russian mathematicians and physicists; and it provides a lucid account of some modern work in which topology is genuinely applied. Books like this are vital for the health of mathematics and it is to be hoped that more will be written."---Mathematical Reviews
Member of
Biography type
individual biography
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Monastyrskiĭ, M. I.
Dewey number
530.15
Illustrations
illustrations
Index
index present
LC call number
QA29.R425
LC item number
M6613 1999eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Monastyrskiĭ, Mikhail Ilʹich
Series statement
Modern Birkhäuser Classics,
http://library.link/vocab/subjectName
  • Riemann, Bernhard
  • Topology
  • Mathematical physics
  • Mathematicians
  • Topologie
  • Physique mathématique
  • Mathématiciens
  • Riemann, Bernhard
  • Kondensierte Materie
  • Feldtheorie
  • Topologie
  • Riemann, Bernhard
  • Mathematical physics
  • Mathematicians
  • Topology
  • Germany
Label
Riemann, topology, and physics, Michael Monastyrsky ; with a foreword by Freeman J. Dyson
Link
http://dx.doi.org/10.1007/978-0-8176-4779-7
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Bernhard Riemann -- The connectivity of a manifold and quantization of magnetic flux -- Topology and liquid crystals -- Theory of gauge fields -- Soliton particles -- Von Neumann algebras -- Condensed matter theory -- Magnetohydrodynamics -- The Quantum Hall effect
Dimensions
unknown
Edition
Second edition / translated by Roger Cooke, James King, Victoria King.
Extent
1 online resource (xiii, 215 pages)
File format
unknown
Form of item
online
Isbn
9780817647780
Isbn Type
(print)
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-0-8176-4779-7
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)885331791
  • (OCoLC)ocn885331791
Label
Riemann, topology, and physics, Michael Monastyrsky ; with a foreword by Freeman J. Dyson
Link
http://dx.doi.org/10.1007/978-0-8176-4779-7
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Bernhard Riemann -- The connectivity of a manifold and quantization of magnetic flux -- Topology and liquid crystals -- Theory of gauge fields -- Soliton particles -- Von Neumann algebras -- Condensed matter theory -- Magnetohydrodynamics -- The Quantum Hall effect
Dimensions
unknown
Edition
Second edition / translated by Roger Cooke, James King, Victoria King.
Extent
1 online resource (xiii, 215 pages)
File format
unknown
Form of item
online
Isbn
9780817647780
Isbn Type
(print)
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-0-8176-4779-7
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)885331791
  • (OCoLC)ocn885331791

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