LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.36
Title	Topics in Physical Mathematics (EB) / by Kishore Marathe.
Author	Marathe, Kishore
Other name(s)	SpringerLink (Online service)
Publication	London : Springer London
Publication	, 2010.
Physical Details	XXII, 419 pages : 3 illus. : online resource.
ISBN	9781848829398
Summary Note	The roots of âphysical mathematicsâ 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. Physicistsâ methods were often rejected by mathematicians as imprecise, and mathematiciansâ 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.:
Contents note	Algebra -- 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 -- Dictionary of Terminology -- Historical and Biographical Notes -- Categories and Chain Complexes -- Operator Theory.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-84882-939-8
Links to Related Works	Subject References: Cell aggregation . Differential Geometry . Field Theory and Polynomials . Field theory (Physics) . Global analysis . Global Analysis and Analysis on Manifolds . Global differential geometry . Manifolds and Cell Complexes (incl. Diff.Topology) . Topology . Authors: Marathe, Kishore . Corporate Authors: SpringerLink (Online service) . Classification: 516.36 .

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Topics in Physical Mathematics

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