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Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
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Differential Geometry - Bundles, Connections, Metrics and Curvature (Hardcover)
Loot Price: R3,888
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Differential Geometry - Bundles, Connections, Metrics and Curvature (Hardcover)
Series: Oxford Graduate Texts in Mathematics, 23
Expected to ship within 12 - 17 working days
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Bundles, connections, metrics and curvature are the 'lingua franca'
of modern differential geometry and theoretical physics. This book
will supply a graduate student in mathematics or theoretical
physics with the fundamentals of these objects.
Many of the tools used in differential topology are introduced and
the basic results about differentiable manifolds, smooth maps,
differential forms, vector fields, Lie groups, and Grassmanians are
all presented here. Other material covered includes the basic
theorems about geodesics and Jacobi fields, the classification
theorem for flat connections, the definition of characteristic
classes, and also an introduction to complex and Kahler geometry.
Differential Geometry uses many of the classical examples from, and
applications of, the subjects it covers, in particular those where
closed form expressions are available, to bring abstract ideas to
life. Helpfully, proofs are offered for almost all assertions
throughout. All of the introductory material is presented in full
and this is the only such source with the classical examples
presented in detail.
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