An introduction to geometrical physics / R. Aldrovandi, J.G. Pereira
Digitised Book 216.73.216.10 (0)
1995
Information About
Mathematical Physics is a moving subject, and has moved faster in recent times. From the study of differential equations and related special functions, it has migrated to the more qualitative realms of topology and algebra. The bridge has been the framework of geometry. The passage supposes an acquaintance with concepts and terms of a new kind, to which this text is a tentative introduction.
Additional Details
- Title
- An introduction to geometrical physics / R. Aldrovandi, J.G. Pereira
- Creators
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- Aldrovandi, R. (Ruben)
- Subject
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- Geometry, Differential
- Mathematical physics
- Publisher
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- World Scientific, 1995
- National Library Board Singapore, 1995
- Contributors
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- Pereira, J. G.
- Digital Description
- application/pdf, xvii, 699 p.
- Table of Contents
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- 0. Space and geometry -- pt. I. Manifolds. 1. General topology. 2. Homology. 3. Homotopy. 4. Manifolds & charts. 5. Differentiable manifolds -- pt. II. Differentiable structure. 6. Tangent structure. 7. Differential forms. 8. Symmetries. 9. Fiber bundles -- pt. III. Final touch. 10. Noncommutative geometry -- pt. IV. Mathematical topics. Math. 1. The basic algebraic structures. Math. 2. Discrete groups, braids and knots. Math. 3. Sets and measures. Math. 4. Topological linear spaces. Math. 5. Banach algebras. Math. 6. Representations. Math. 7. Variations & functionals... -- pt. V. Physical topics. Phys. 1. Hamiltonian mechanics. Phys. 2. More mechanics...
- Copyright
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- All Rights Reserved. National Library Board Singapore 2009.