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Principles of Least Action and of Least Constraint
Author(s) -
Ramm Ekkehard
Publication year - 2011
Publication title -
gamm‐mitteilungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.239
H-Index - 18
eISSN - 1522-2608
pISSN - 0936-7195
DOI - 10.1002/gamm.201110026
Subject(s) - gauss , principle of least action , constraint (computer aided design) , action (physics) , mathematics , calculus (dental) , mathematical economics , mathematical physics , classical mechanics , physics , geometry , quantum mechanics , medicine , dentistry
The present contribution describes the evolution of two major extremum principles in mechanics proposed in the 18 th and the first half of the 19 th century, namely the Principle of Least Action associated with the name Maupertuis and Gauss's Principle of Least Constraint. We will briefly mention the d'Alembert Principle strongly related to the Principle of Gauss (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)