Abstract
There are two principal extensions to ℝ N of the theory of differentiation of real-valued functions on ℝ1. In this section, we develop the natural generalization of ordinary differentiation discussed in Chapter 4 to partial differentiation of functions from ℝ N to ℝ1 In Section 7.3, we extend the ordinary derivative to the total derivative.
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© 1977 Springer-Verlag, New York Inc.
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Protter, M.H., Morrey, C.B. (1977). Differentiation in ℝ N . In: A First Course in Real Analysis. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-9990-6_7
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DOI: https://doi.org/10.1007/978-1-4615-9990-6_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4615-9992-0
Online ISBN: 978-1-4615-9990-6
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