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Vector calculus and the topology of domains in 3-space. (English) Zbl 1038.53017
The paper provides a nice review of the Hodge decomposition theorem for vector fields in a compact domain in 3-space.
The paper illustrates the analytical and topological aspects of this theorem by means of well chosen examples arising from electromagnetism and other classical problems.

MSC:
53A45 Differential geometric aspects in vector and tensor analysis
58A14 Hodge theory in global analysis
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