An Introductory Course on Differentiable Manifolds

This thorough, rigorous course on the theory of differentiable manifolds requires a strong background in undergraduate mathematics, including multivariable calculus, linear algebra, elementary abstract algebra, and point-set topology. Suitable for advanced undergraduates and graduate students, the d [...]
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This thorough, rigorous course on the theory of differentiable manifolds requires a strong background in undergraduate mathematics, including multivariable calculus, linear algebra, elementary abstract algebra, and point-set topology. Suitable for advanced undergraduates and graduate students, the detailed treatment is enhanced with philosophical and historical asides and includes more than 200 exercises. 2016 edition.
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