Non-commuting Variations in Mathematics and Physics: A Survey (Interaction of Mechanics and Mathematics) - Softcover
Book 8 of 11: Interaction of Mechanics and Mathematics
Synopsis
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.
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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.
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Non-commuting Variations in Mathematics and Physics. A Survey.
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ISBN 10: 3319283219
ISBN 13: 9783319283210
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1st ed. 2016. 23.5 cm x 15.5 cm, 0 g. XIV, 235 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Interaction of Mechanics and Mathematics. Seller Inventory # 3001BB
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Non-commuting Variations in Mathematics and Physics: A Survey (Interaction of Mechanics and Mathematics)
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Non-Commuting Variations in Mathematics and Physics A Survey
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Non-commuting Variations in Mathematics and Physics: A Survey (Interaction of Mechanics and Mathematics)
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Non-commuting Variations in Mathematics and Physics
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Springer International Publishing Mrz 2016, 2016
ISBN 10: 3319283219
ISBN 13: 9783319283210
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Taschenbuch. Condition: Neu. 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
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Non-commuting Variations in Mathematics and Physics
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ISBN 10: 3319283219
ISBN 13: 9783319283210
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A survey of non-commuting Variations in Mathematics and Physics Presents and develops methods of analysis, potential classification and of study of dissipative patterns of behavior using classical methods of differential geometry and variational c. Seller Inventory # 105853887
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Non-commuting Variations in Mathematics and Physics | A Survey
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Springer International Publishing, 2016
ISBN 10: 3319283219
ISBN 13: 9783319283210
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Taschenbuch. Condition: Neu. Non-commuting Variations in Mathematics and Physics | A Survey | Serge Preston | Taschenbuch | xiv | Englisch | 2016 | Springer International Publishing | EAN 9783319283210 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 104064062
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Non-commuting Variations in Mathematics and Physics : A Survey
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ISBN 10: 3319283219
ISBN 13: 9783319283210
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783319283210