Abstract
Manifolds have enough structure to allow differentiation of maps between them. To set the stage for these concepts requires a development of differential calculus in linear spaces from a geometric point of view. The goal of this chapter is to provide this perspective.
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© 1988 Springer Science+Business Media New York
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Abraham, R., Marsden, J.E., Ratiu, T. (1988). Banach Spaces and Differential Calculus. In: Manifolds, Tensor Analysis, and Applications. Applied Mathematical Sciences, vol 75. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1029-0_2
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DOI: https://doi.org/10.1007/978-1-4612-1029-0_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6990-8
Online ISBN: 978-1-4612-1029-0
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