Non-commuting Variations in Mathematics and Physics

Name: Non-commuting Variations in Mathematics and Physics
Brand: Springer International Publishing AG
SKU: 9783319283210
Price: 2350 CZK
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A Survey

Autor: Serge Preston

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer International Publishing AG

Dostupnost: Skladem u dodavatele

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2 350 Kč

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

Informace o knize

Autor

Serge Preston

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2016

Stránek

235

EAN

9783319283210

ISBN

3319283219

Enbook ID

02862452

Vydavatel

Springer International Publishing AG

Hmotnost

3869

Rozměry

155 x 235 x 14

Kompletní popis

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

Informace o knize

Kompletní popis

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