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The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. This book provides the geometric formulation of non-autonomous mechanics in a general setting of time-dependent coordinate and reference frame tr…
1. Dynamic equations. 1.1. Preliminary. Fibre bundles over R. 1.2. Autonomous dynamic equations. 1.3. Dynamic equations. 1.4. Dynamic connections. 1.5. Non-relativistic geodesic equations. 1.6. Reference frames. 1.7. Free motion equations. 1.8. Relative acceleration. 1.9. Newton…
The geometric formulation of autonomous Hamiltonian mechanics in the terms of symplectic and Poisson manifolds is generally accepted. The literature on this subject is extensive. The present book provides the geometric formulation of non-autonomous mechanics in a general setting…
Aus den Besprechungen zur ersten Auflage: "Das vorliegende Buch mit seinen zahlreichen Hinweisen zu den ausgelagerten MATLAB-Programmen macht den Ingenieur-orientierten Leser mit dem mathematischen Rüstzeug (einschließlich moderner numerischer Verfahren) bekannt, das zur Lösung …
The formalism processing of unbuckled solids mechanics involves several mathematical tools which are to be mastered at the same time. This volume collects the main points which take place in the course of the formalism, so that the user immediately finds what he needs without lo…
Encyclopedia of computational mechanics
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Type: Book
