Coleman, R. (2012) Calculus on Normed Vector Spaces. Universitext, Springer.

has been cited by the following article:

• TITLE: The Partial Jacobian Matrix and the Chain Rule for Functions on Products of Real n-Spaces

  AUTHORS: Amod Agashe

  KEYWORDS: Chain Rule, Partial Derivative, Jacobian Matrix, Partial Jacobian Matrix, Normed Vector Spaces, Manifolds

  JOURNAL NAME: Applied Mathematics, Vol.16 No.4, April 30, 2025

  ABSTRACT: The usual chain rule is for compositions of functions from R n to R m , for some m and n . We consider functions whose domains and codomains are products of various R n ’s, and introduce the notion of a partial Jacobian matrix, using which we formulate a chain rule in this setting that should be useful for calculations as well as for some theoretical purposes.