Abstract
Using systems of linear equations as a guide we discuss the significance of the implicit function theorem for level sets. We define the tangent space and the normal space at a point on a level set.
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© 2014 Springer-Verlag London
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Dineen, S. (2014). Level Sets and Tangent Spaces. In: Multivariate Calculus and Geometry. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-6419-7_2
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DOI: https://doi.org/10.1007/978-1-4471-6419-7_2
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Publisher Name: Springer, London
Print ISBN: 978-1-4471-6418-0
Online ISBN: 978-1-4471-6419-7
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