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Differential Geometry and Its Applications (2nd Edition) (Hardcover), by John Oprea, published by Prentice Hall; 2 edition (December 9, 2003), ISBN-10: 0130652466. Elementary Differential Geometry (Paperback), by Andrew Pressley, published by Springer, Corr. 2nd printing edition (September 18, 2002), ISBN-10: 1852331526.[PDF]
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Introduction to Geometry MATH20004 | School of Mathematics
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References for Differential Geometry and Topology | David
(Remember that differential geometry takes place on differentiable manifolds, which are differential-topological objects. Some of the deepest theorems in differential geometry relate geometry to topology, so ideally one should learn both.) Guillemin, V, and Pollack, A., Differential Topology. Prentice-Hall, 1974. Hirsch, M., Differential topology.
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