Foundations of Theoretical Mechanics I is popular PDF and ePub book, written by Ruggero Maria Santilli in 2013-11-21, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Foundations of Theoretical Mechanics I can be Read Online from any device for your convenience.
Foundations of Theoretical Mechanics I Book PDF Summary
The objective of this monograph is to present some methodological foundations of theoretical mechanics that are recommendable to graduate students prior to, or jointly with, the study of more advanced topics such as statistical mechanics, thermodynamics, and elementary particle physics. A program of this nature is inevitably centered on the methodological foundations for Newtonian systems, with particular reference to the central equations of our theories, that is, Lagrange's and Hamilton's equations. This program, realized through a study of the analytic representations in terms of Lagrange's and Hamilton's equations of generally nonconservative Newtonian systems (namely, systems with Newtonian forces not necessarily derivable from a potential function), falls within the context of the so-called Inverse Problem, and consists of three major aspects: l. The study of the necessary and sufficient conditions for the existence of a Lagrangian or Hamiltonian representation of given equations of motion with arbitrary forces; 2. The identification of the methods for the construction of a Lagrangian or Hamiltonian from given equations of motion verifying conditions 1; and 3 The analysis of the significance of the underlying methodology for other aspects of Newtonian Mechanics, e. g. , transformation theory, symmetries, and first integrals for nonconservative Newtonian systems. This first volume is devoted to the foundations of the Inverse Problem, with particular reference to aspects I and 2.
Detail Book of Foundations of Theoretical Mechanics I PDF
- Author : Ruggero Maria Santilli
- Release : 21 November 2013
- Publisher : Springer Science & Business Media
- ISBN : 9783662257715
- Genre : Science
- Total Page : 282 pages
- Language : English
- PDF File Size : 14,8 Mb
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