Foundations of Theoretical Mechanics I
Springer Berlin (Verlag)
978-3-662-23683-3 (ISBN)
1 Elemental Mathematics.- 2 Variational Approach to Self-Adjointness.- 3 The Fundamental Analytic Theorems of the Inverse Problem.- Appendix: Newtonian Systems.- A.1 Newton's equations of motion.- A.2 Constraints.- A.3 Generalized coordinates.- A.4 Conservative systems.- A.5 Dissipative systems.- A.6 Dynamical systems.- A.7 The fundamental form of the equations of motion in configuration space.- Charts.- A.1 Galilean relativity.- A.2 Ignorable coordinates and conservation laws.- A.3 Impulsive motion.- A.4 Arrow of time and entropy.- A.5 Gauss principle of least constraint.- A.6 The Gibbs-Appel equations.- A.7 Virial theorem.- A.8 Liouville's theorem for conservative systems.- A.9 Generalizations of Liouville's theorem to dynamical systems.- A.10 The method of Lagrange undetermined multipliers.- A.11 Geometric approach to Newtonian systems.- A.12 Tensor calculus for linear coordinate transformations.- A.13 Tensor calculus for nonlinear coordinate transformations.- A.14 Dynamical systems in curvilinear coordinates.- Examples.- Problems.- References.
Erscheint lt. Verlag | 1.1.1984 |
---|---|
Reihe/Serie | Texts and Monographs in Physics |
Zusatzinfo | XIX, 266 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 445 g |
Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Mechanik |
Schlagworte | conservation • curvilinear coordinates • Dynamical Systems • Dynamics • Elementary Particle Physics • Entropy • Mathematics • Mechanics • Newtonian Mechanics • Particle physics • Physics • Relativity • Statistical Mechanics • Theory of relativity • thermodynamics |
ISBN-10 | 3-662-23683-4 / 3662236834 |
ISBN-13 | 978-3-662-23683-3 / 9783662236833 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
aus dem Bereich