Non-commuting Variations in Mathematics and Physics
Language: English
Published by Springer International Publishing Mrz 2016, 2016
Series: Book 8 of 11 - Interaction of Mechanics and Mathematics
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 92.85
Quantity: 2 available
Add to basketItem description from seller
This item is printed on demand - it takes 3-4 days longer - Neuware -This text presentsand studies the method of so -called noncommuting variations in VariationalCalculus. This methodwas pioneered by Vito Volterra whonoticed that the conventionalEuler-Lagrange (EL-) equations are not applicable in Non-Holonomic Mechanicsand suggested to modify the basic ruleused in Variational Calculus. This bookpresents a survey of VariationalCalculus with non-commutative variations and shows that mostbasic properties ofconventional Euler-LagrangeEquations are, with somemodifications, preserved for EL-equations with K-twisted(defined by K)-variations. Most of thebook can be understood by readers without strong mathematical preparation (someknowledge of Differential Geometry is necessary). In order to make the text more accessible thedefinitions and several necessary results in Geometry are presented separatelyin Appendices I and II Furthermore inAppendix III a short presentation of the Noether Theoremdescribing the relation between thesymmetries of the differential equationswith dissipation and corresponding s balance laws is presented. 252 pp. Englisch.…
Seller Inventory # 9783319283210
- Title
- Non-commuting Variations in Mathematics and Physics
- Author
- Serge Preston
- Publisher
- Springer International Publishing Mrz 2016
- Publication year
- 2016
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3319283219
- ISBN 13
- 9783319283210
- Item weight
- 388 grams
- Dimensions
- 235x155x14 mm
- Series
- Book 8 of 11: Interaction of Mechanics and Mathematics
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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