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dc.contributor.advisorNot available
dc.creatorNilsson, David O.
dc.date.accessioned2018-02-22T16:47:16Z
dc.date.available2018-02-22T16:47:16Z
dc.date.issued1973
dc.identifierdoi:10.15781/T2T43JK46
dc.identifier.urihttp://hdl.handle.net/2152/63723
dc.description.abstractChapter one presents a brief summary of the mathematics and physics context of the theory, recalling the essential topics and notation of tensor and extensor analysis, as well as outlining historically Einstein's transition from classical mechanics to his relativistic formulation thereof and the subsequent developments of relativistic wave equations. Chapter two is an exposition of some work by Ghosh and by Craig, followed by further developments relating their definitions and theorems to prior theorems in tensor and extensor analysis due to Craig, Corson, van der Waerden, Infeld, and others. Chapter three is a further development of a generalization of the tensorial theory in chapter two. The term 'spin components of an extensor' is defined. Chapter four contains examples in which the spin extensor components (complex numbers or complex vectors, i.e., ordered number pairs or ordered (Gibbsian) vector pairs) have properties which are analogous to those of ordinary extensor components (numbers or vectors).en_US
dc.format.mediumelectronicen
dc.language.isoengen_US
dc.relation.ispartofUT Electronic Theses and Dissertationsen_US
dc.rightsCopyright © is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subject.lcshCalculus of tensors
dc.subject.lcshRiemann surfaces
dc.subject.lcshVector analysis
dc.titleOn tensors and extensors having complex componentsen_US
dc.typeThesisen_US
dc.description.departmentMathematicsen_US
dc.type.genreThesisen
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Texas at Austinen
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
dc.rights.restrictionOpenen_US


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