Non-commuting Variations in Mathematics and Physics

Name: Non-commuting Variations in Mathematics and Physics
Brand: Springer International Publishing AG
SKU: 9783319283210
Price: 566.79 RON
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A Survey

Autor: Serge Preston

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Editura: Springer International Publishing AG

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This text presents§and studies the method of so -called noncommuting variations in Variational§Calcu...

Informații despre carte

Autor

Serge Preston

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2016

Pagini

235

EAN

9783319283210

ISBN

3319283219

Enbook ID

02862452

Editura

Springer International Publishing AG

Greutate

3869

Dimensiuni

155 x 235 x 14

Descriere completă

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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Descriere completă

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