
Mathematical Methods of Analytical Mechanics
Description
Key Features
- Helps readers understand calculations surrounding the geometry of the tensor and the geometry of the calculation of the variation
- Presents principles that correspond to the energy conservation of material systems
- Defines the invariance properties associated with Noether's theorem
- Discusses phase space and Liouville's theorem
- Identifies small movements and different types of stabilities
Readership
Table of Contents
Part 1. Introduction to the variation calculus
1. The elementary methods of variation calculus
2. Variation of a curvilinear integral
3. Noether's TheoremPart 2. Applications to the analytical mechanics
4. The methods of analytical mechanics
5. Integration method of Jacobi
6. Spaces of mechanics - Poisson's bracketsPart 3. Properties of mechanical systems
7. Properties of the phase-space
8. Oscillations and small motions of mechanical systems
9. Stability of periodical systems
Product details
- No. of pages: 320
- Language: English
- Copyright: © ISTE Press - Elsevier 2020
- Published: November 13, 2020
- Imprint: ISTE Press - Elsevier
- Hardcover ISBN: 9781785483158
- eBook ISBN: 9780128229866
About the Author
Henri Gouin
Affiliations and Expertise
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