Calculus on Manifolds (book)
Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus (1965) by Michael Spivak is a brief, rigorous, and modern textbook on multivariable calculus, differential forms, and integration on manifolds for advanced undergraduates. == Description == Calculus on Manifolds is a brief monograph on the theory of vector-valued functions of several real variables ( f : R n ↦ R m {\displaystyle f:\mathbb {R} ^{n}\mapsto \mathbb {R} ^{m}} ) and differentiable manifolds in Euclidean space.
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