The Various Definitions of Multiple Differentiability of a Function <i>f</i>: ℝ<sup><i>n</i></sup>→ ℝ

The Various Definitions of Multiple Differentiability of a Function <i>f</i>: ℝ<sup><i>n</i></sup>→ ℝ

Since the 17-th century the concepts of differentiability and multiple differentiability have become fundamental to mathematical analysis. By now we have the generally accepted definition of what a multiply differentiable function <inline-formula><math display="inline"><sema...

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Bibliographic Details
Main Author: Alexander Kuleshov
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Mathematics
Subjects:
real analysis
multivariable calculus
multiple differentiability
Young’s theorem
Taylor’s theorem
Online Access:https://www.mdpi.com/2227-7390/8/11/1946

Internet

https://www.mdpi.com/2227-7390/8/11/1946

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