Analysis on Manifolds

Walter Thirring and Evans Harrell
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Walter Thirring: University of Vienna, Institute for Theoretical Physics
Evans Harrell: Massachusetts Institute of Technology

Chapter 2 in A Course in Mathematical Physics 1, 1978, pp 8-75 from Springer

Abstract: Abstract The intuitive picture of a smooth surface becomes analytic with the concept of a manifold. On the small scale a manifold looks like a Euclidean space, so that infinitesimal operations like differentiation may be defined on it.

Keywords: Vector Field; Open Subset; Tangent Space; Tangent Bundle; Inverse Image (search for similar items in EconPapers)
Date: 1978
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DOI: 10.1007/978-3-7091-8526-1_2

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