Non commuting Variations in Mathematics and Physics is popular PDF and ePub book, written by Serge Preston in 2016-03-02, it is a fantastic choice for those who relish reading online the Technology & Engineering genre. Let's immerse ourselves in this engaging Technology & Engineering book by exploring the summary and details provided below. Remember, Non commuting Variations in Mathematics and Physics can be Read Online from any device for your convenience.
Non commuting Variations in Mathematics and Physics Book PDF Summary
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.
Detail Book of Non commuting Variations in Mathematics and Physics PDF
- Author : Serge Preston
- Release : 02 March 2016
- Publisher : Springer
- ISBN : 9783319283234
- Genre : Technology & Engineering
- Total Page : 242 pages
- Language : English
- PDF File Size : 9,9 Mb
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