Differential geometry, mathematical physics, and gauge theories : an honors thesis (HONRS 499)

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dc.contributor.advisor Bremigan, Ralph J. en_US
dc.contributor.author Coleman, Neal E. en_US
dc.date.accessioned 2011-06-06T18:36:43Z
dc.date.available 2011-06-06T18:36:43Z
dc.date.created 2010 en_US
dc.date.issued 2010
dc.identifier.other A-340 en_US
dc.identifier.uri http://cardinalscholar.bsu.edu/handle/handle/189872
dc.description.abstract Modern physics relies heavily on geometric modeling of reality. It can be effectively phrased in terms of differential forms, vector fields, and other objects of differential geometry, and manipulated with the tools of differential geometry. Differential geometry itself relies on the development of advanced linear algebra, including the theory of tensor spaces and forms over vector spaces. Therefore, I develop advanced linear algebra, aspects of manifold theory, elements of pseudo-Riemannian geometry, a brief introduction to Lie groups, and some statements regarding vector bundles, in order to convey some aspects of modern physical theories, including the classical theory of electrodynamics, the theories of special and general relativity, and some notions of gauge theories.
dc.description.sponsorship Honors College
dc.format.extent 43 leaves : ill. ; 30 cm. en_US
dc.source Virtual Press en_US
dc.subject.lcsh Mathematics. en_US
dc.title Differential geometry, mathematical physics, and gauge theories : an honors thesis (HONRS 499) en_US
dc.type Undergraduate senior honors thesis.
dc.description.degree Thesis (B.?.)
dc.identifier.cardcat-url http://liblink.bsu.edu/catkey/1568801 en_US

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  • Undergraduate Honors Theses [5928]
    Honors theses submitted to the Honors College by Ball State University undergraduate students in partial fulfillment of degree requirements.

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