Modern Geometry -- Methods and Applications: Part I
The Geometry of Surfaces, Transformation Groups, and Fields
Recommended by Eric Weinstein, and 1 others. See all reviewsRanked #14 in Geometry, Ranked #17 in Topology — see more rankings.
This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This new edition offers substantial revisions, and the material is written in concrete language with terminology acceptable to physicists. less
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- #58 in Differential Geometry
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