Henri Gouin,
Henri (GOUIN Henri R.Professor, Aix-Marseille University) Gouin
Elsevier Science
e druk, 2020
9781785483158
Mathematical Methods of Analytical Mechanics
Specificaties
Gebonden, blz.
|
Engels
Elsevier Science |
e druk, 2020
ISBN13: 9781785483158
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Juridisch
:
Levertijd ongeveer 9 werkdagen
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Samenvatting
Mathematical Methods of Analytical Mechanics uses tensor geometry and geometry of variation calculation, includes the properties associated with Noether's theorem, and highlights methods of integration, including Jacobi's method, which is deduced. In addition, the book covers the Maupertuis principle that looks at the conservation of energy of material systems and how it leads to quantum mechanics. Finally, the book deduces the various spaces underlying the analytical mechanics which lead to the Poisson algebra and the symplectic geometry.
Specificaties
Inhoudsopgave
<p>Part 1. Introduction to the variation calculus<br>1. The elementary methods of variation calculus<br>2. Variation of a curvilinear integral<br>3. Noether's Theorem</p> <p>Part 2. Applications to the analytical mechanics<br>4. The methods of analytical mechanics<br>5. Integration method of Jacobi<br>6. Spaces of mechanics - Poisson's brackets</p> <p>Part 3. Properties of mechanical systems<br>7. Properties of the phase-space<br>8. Oscillations and small motions of mechanical systems <br>9. Stability of periodical systems</p>
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