The constructive implicit function theorem and applications in mechanics
type: Item
instance of: scholarly article
title: The constructive implicit function theorem and applications in mechanics
zbMATH Open document ID: 0959.03051
DOI: 10.1016/S0960-0779(98)00140-4
author: Boris S. Pavlov
author: Doru Ştefănescu
author: Douglas Bridges
author: Cristian S. Calude
published in: Chaos, Solitons and Fractals
publication date: 1999-11-29T00:00:00Z
review text: The main objective of the paper is to provide a constructive proof of the implicit function theorem within the framework of E. Bishop's constructive mathematics. Dieudonné's proof is examined from the constructive standpoint. A new, constructive proof of the theorem is provided. The new proof is based on elementary arguments about continuous functions. Some comments on the application of the Implicit Function Theorem to classical mechanics conclude the paper. The paper is very clear and easy to read.
Mathematics Subject Classification ID: 03F60
Mathematics Subject Classification ID: 58C15
Mathematics Subject Classification ID: 70K99
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 1371645
zbMATH Keywords: application to classical mechanics
zbMATH Keywords: constructive proof of the implicit function theorem
zbMATH Keywords: Bishop's constructive mathematics
reviewed by: Pier Luigi Ferrari
MaRDI profile type: Publication
full work available at URL: s0960-0779(98)00140-4
OpenAlex ID: W4232529898
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description: scientific article; zbMATH DE number 1371645