Mukunda, N (1997) Geometrical methods for physics. In: Geometry, fields and cosmology:1st Inter University Graduate School on Gravitation and Cosmology held in Pune., 1989, Pune, 1-268.
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PDF (Introduction and Scope)
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PDF (Sets, Mapping, Equivlanec Relations)
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PDF (Action of a Group on a Set)
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PDF (Topological Spaces)
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PDF (Differentiable Manifolds, Smooth Maps, Diffeomorphisms, Smooth Functions and Curves, Pullback of Functions)
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PDF (Tangent, Cotangent and Tensor Spaces at a Point; Smooth Tensor fields on a Manifold; Orientability)
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PDF (The Tangent Map; Classifying Smooth Maps; Pull-back Extended; Case of Diffeomorphisms)
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PDF (Covariant Differentiation, Parallel Transport and Connection; Torsion, Curvture; Cartan Equations, Bianchi Identities; Metric Geometry)
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PDF (Congruences, submaitolds, toliations, Frobenius’ Theorem, closed and exact forms, Poincare’s lemma)
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PDF (Orientation, Volume forms, Pseudo Riemannian metric, Hodge duality)
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PDF (The Bundle Concept- Fibre, Principal, Associated and Vector Bundles)
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PDF (Integration of differential forms, Stokes theorem)
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PDF (Concluding remarks and some references)
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Abstract
Geometrical methods for physics.
Item Type: | Conference Paper |
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Publisher: | Kluwer Academic Publishers Group |
Department/Centre: | Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) |
Date Deposited: | 26 Jul 2004 |
Last Modified: | 19 Sep 2010 04:13 |
URI: | http://eprints.iisc.ac.in/id/eprint/941 |
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