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Finsler Geometry, Relativity and Gauge Theories (Hardcover, 1985 ed.)
Loot Price: R5,799
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Finsler Geometry, Relativity and Gauge Theories (Hardcover, 1985 ed.)
Series: Fundamental Theories of Physics, 12
Expected to ship within 10 - 15 working days
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The methods of differential geometry have been so completely merged
nowadays with physical concepts that general relativity may well be
considered to be a physical theory of the geometrical properties of
space-time. The general relativity principles together with the
recent development of Finsler geometry as a metric generalization
of Riemannian geometry justify the attempt to systematize the basic
techniques for extending general relativity on the basis of Finsler
geometry. It is this endeavour that forms the subject matter of the
present book. Our exposition reveals the remarkable fact that the
Finslerian approach is automatically permeated with the idea of the
unification of the geometrical space-time picture with gauge field
theory - a circumstance that we try our best to elucidate in this
book. The book has been written in such a way that the reader
acquainted with the methods of tensor calculus and linear algebra
at the graduate level can use it as a manual of Finslerian
techniques orientable to applications in several fields. The
problems attached to the chapters are also intended to serve this
purpose. This notwithstanding, whenever we touch upon the
Finslerian refinement or generalization of physical concepts, we
assume that the reader is acquainted with these concepts at least
at the level of the standard textbooks, to which we refer him or
her.
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