000 03263nam a22005055i 4500
001 978-1-84882-939-8
003 DE-He213
005 20140220084515.0
007 cr nn 008mamaa
008 100809s2010 xxk| s |||| 0|eng d
020 _a9781848829398
_9978-1-84882-939-8
024 7 _a10.1007/978-1-84882-939-8
_2doi
050 4 _aQA641-670
072 7 _aPBMP
_2bicssc
072 7 _aMAT012030
_2bisacsh
082 0 4 _a516.36
_223
100 1 _aMarathe, Kishore.
_eauthor.
245 1 0 _aTopics in Physical Mathematics
_h[electronic resource] /
_cby Kishore Marathe.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2010.
300 _aXXII, 419p. 3 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aAlgebra -- Topology -- Manifolds -- Bundles and Connections -- Characteristic Classes -- Theory of Fields, I: Classical -- Theory of Fields, II: Quantum and Topological -- Yang–Mills–Higgs Fields -- 4-Manifold Invariants -- 3-Manifold Invariants -- Knot and Link Invariants.
520 _aThe roots of ’physical mathematics’ can be traced back to the very beginning of man's attempts to understand nature. Indeed, mathematics and physics were part of what was called natural philosophy. Rapid growth of the physical sciences, aided by technological progress and increasing abstraction in mathematical research, caused a separation of the sciences and mathematics in the 20th century. Physicists’ methods were often rejected by mathematicians as imprecise, and mathematicians’ approach to physical theories was not understood by the physicists. However, two fundamental physical theories, relativity and quantum theory, influenced new developments in geometry, functional analysis and group theory. The relation of Yang-Mills theory to the theory of connections in a fiber bundle discovered in the early 1980s has paid rich dividends to the geometric topology of low dimensional manifolds. Aimed at a wide audience, this self-contained book includes a detailed background from both mathematics and theoretical physics to enable a deeper understanding of the role that physical theories play in mathematics. Whilst the field continues to expand rapidly, it is not the intention of this book to cover its enormity. Instead, it seeks to lead the reader to their next point of exploration in this vast and exciting landscape.
650 0 _aMathematics.
650 0 _aField theory (Physics).
650 0 _aGlobal analysis.
650 0 _aGlobal differential geometry.
650 0 _aTopology.
650 0 _aCell aggregation
_xMathematics.
650 1 4 _aMathematics.
650 2 4 _aDifferential Geometry.
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
650 2 4 _aTopology.
650 2 4 _aField Theory and Polynomials.
650 2 4 _aGlobal Analysis and Analysis on Manifolds.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781848829381
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-84882-939-8
912 _aZDB-2-SMA
999 _c110925
_d110925