Non-commuting Variations in Mathematics and Physics - A Survey (Paperback, 1st ed. 2016)

This text presents and studies the method of so -called noncommuting variations in Variational Calculus. This method was pioneered by Vito Volterra who noticed that the conventional Euler-Lagrange (EL-) equations are not applicable in Non-Holonomic Mechanics and suggested to modify the basic rule used in Variational Calculus. This book presents a survey of Variational Calculus with non-commutative variations and shows that most basic properties of conventional Euler-Lagrange Equations are, with some modifications, preserved for EL-equations with K-twisted (defined by K)-variations. Most of the book can be understood by readers without strong mathematical preparation (some knowledge of Differential Geometry is necessary). In order to make the text more accessible the definitions and several necessary results in Geometry are presented separately in Appendices I and II Furthermore in Appendix III a short presentation of the Noether Theorem describing the relation between the symmetries of the differential equations with dissipation and corresponding s balance laws is presented.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Interaction of Mechanics and Mathematics
Release date:	March 2016
First published:	2016
Authors:	Serge Preston
Dimensions:	235 x 155 x 13mm (L x W x T)
Format:	Paperback
Pages:	235
Edition:	1st ed. 2016
ISBN-13:	978-3-319-28321-0
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	3-319-28321-9
Barcode:	9783319283210

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