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Geometrical Methods in Mathematical Physics Bernard F. Schutz
Publisher: Cambridge University Press

Hartmann (Springer, 2013) WW.pdf. Jmp.aip.org/resource/1/jmapaq/v53/i7/p073516_s1. Schutz - Geometry, Topology, and Physics by M. Burke Applied Differential Geometry. Green's Functions and Finite Elements – F. For further reading on such concepts, I like the book of Bernard Schutz Geometrical methods of mathematical physics and the book of William L. More information: "Measuring shape with topology," is published in Journal of Mathematical Physics. His approach is in line with Einstein's belief in the power of mathematical geometry. Cite as: arXiv:1208.4247 [math.NA]. Kielanowski, et al., (Birkhauser, 2013) WW.pdf. COMPLEX GEOMETRY OF NATURE AND Contemporary Aspects of Complex Analysis Differential Forms with Applications Flanders. The following three are excellent books that emphasize on applications too: - Geometrical methods of mathematical physics by B. The link between quantum mechanical states and geometric shapes has something to offer not only to physicists, but also to mathematicians. Subjects: Numerical Analysis (math.NA); Numerical Analysis (cs.NA); Computational Physics (physics.comp-ph). Geometric Methods in Physics [XXX Workshop, 2011] (math) – P. It is a highly mathematical story but with clear implications to questions of physics.