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Can I read Non-commuting Variations in Mathematics and Physics : A Survey on EtoBox?
Non-commuting Variations in Mathematics and Physics : A Survey by Serge Preston (auth.) is a nonfiction available to read on EtoBox.
What is Non-commuting Variations in Mathematics and Physics : A Survey about?
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.
Who reads Non-commuting Variations in Mathematics and Physics : A Survey?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Serge Preston (auth.)
- Publisher
- Springer International Publishing, Imprint Springer : Springer International Publishing
- Published
- 2016
- Language
- EN
- ISBN
- 9783319283234
- Category
- nonfiction
- Subjects
- Science, Engineering, Mathematics