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These informal notes deal with some basic properties of metric spaces, especially concerning lengths of curves.
H. Busemann, Metric Methods in Finsler Spaces and in the Foundations of Geometry
1942
Earlier work this paper cites.
M. do Carmo, Differential Geometry of Curves and Surfaces
1976
Earlier work this paper cites.
R. Goldberg, Methods of Real Analysis
1976
Earlier work this paper cites.
W. Rudin, Principles of Mathematical Analysis
1976
Earlier work this paper cites.
M. Berger, Geometry I, II
1987
Earlier work this paper cites.
M. Berger and B. Gostiaux, Differential Geometry: Manifolds, Curves, and Surfaces
1988
Cited alongside, same era.
F. Morgan, Riemannian Geometry: A Beginner’s Guide
1998
Cited alongside, same era.
A. Pressley, Elementary Differential Geometry
2001
Cited alongside, same era.
S. Krantz, The Elements of Advanced Mathematics
2002
Cited alongside, same era.
R. Beals, Analysis: An Introduction
2004
Later among the works it cites.
J. Anderson, Hyperbolic Geometry
2005
Later among the works it cites.
S. Krantz, Real Analysis and Foundations
2005
Later among the works it cites.
A. Papadopoulos, Metric Spaces, Converxity and Nonpositive Curvature
2005
Later among the works it cites.
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