A General Implicit/Inverse Function Theorem

2015/09/20 by Bruce Blackadar, Blackadar, Bruce · 1 citation
Engineering · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Robotic Mechanisms and Dynamics

paper · pdf · doi:10.48550/arxiv.1509.06025

openalex publication_date 2015/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Implicit and Inverse Function Theorems are special cases of a general Implicit/Inverse Function Theorem which can be easily derived from either theorem. The theorems can thus be easily deduced from each other via the generalized version.

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• New inverse and implicit function theorems for differentiable maps with isolated critical points

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