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Problems And Solutions In Differential Geometry, Lie Series, Differential Forms, Relativity And Applications (Paperback)
Loot Price: R1,351
Discovery Miles 13 510
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Problems And Solutions In Differential Geometry, Lie Series, Differential Forms, Relativity And Applications (Paperback)
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Total price: R1,371
Discovery Miles: 13 710
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This volume presents a collection of problems and solutions in
differential geometry with applications. Both introductory and
advanced topics are introduced in an easy-to-digest manner, with
the materials of the volume being self-contained. In particular,
curves, surfaces, Riemannian and pseudo-Riemannian manifolds, Hodge
duality operator, vector fields and Lie series, differential forms,
matrix-valued differential forms, Maurer-Cartan form, and the Lie
derivative are covered.Readers will find useful applications to
special and general relativity, Yang-Mills theory, hydrodynamics
and field theory. Besides the solved problems, each chapter
contains stimulating supplementary problems and software
implementations are also included. The volume will not only benefit
students in mathematics, applied mathematics and theoretical
physics, but also researchers in the field of differential
geometry.
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