Non-commuting Variations in Mathematics and Physics (Record no. 79032)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03711nam a22005535i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-319-28323-4 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220801220855.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160302s2016 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319283234 |
| -- | 978-3-319-28323-4 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620.3 |
| 100 1# - AUTHOR NAME | |
| Author | Preston, Serge. |
| 245 10 - TITLE STATEMENT | |
| Title | Non-commuting Variations in Mathematics and Physics |
| Sub Title | A Survey / |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2016. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XIV, 235 p. 11 illus. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Interaction of Mechanics and Mathematics, |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Basics of the Lagrangian Field Theory -- Lagrangian Field Theory with the Non-commuting (NC) Variations -- Vertical Connections in the Congurational Bundle and the NCvariations -- K-twisted Prolongations and -symmetries (by Works of Muriel,Romero -- Applications: Holonomic and Non-Holonomic Mechanics,H.KleinertAction Principle, Uniform Materials,and the Dissipative Potentials -- Material Time, NC-variations and the Material Aging -- Fiber Bundles and Their Geometrical Structures, Absolute Parallelism -- Jet Bundles, Contact Structures and Connections on Jet Bundles -- Lie Groups Actions on the Jet Bundles and the Systems of Differential Equations. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-319-28323-4 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2016. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Multibody systems. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Vibration. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mechanics, Applied. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical physics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mechanics. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Multibody Systems and Mechanical Vibrations. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mathematical Physics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Classical Mechanics. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| -- | 1860-6253 |
| 912 ## - | |
| -- | ZDB-2-ENG |
| 912 ## - | |
| -- | ZDB-2-SXE |
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