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- 320 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Mathematical Methods of Analytical Mechanics
Book details
Table of contents
Citations
About This Book
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.
- 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
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Yes, you can access Mathematical Methods of Analytical Mechanics by Henri Gouin in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright
- Preface
- Mathematicians, Physicists and Astronomers Cited in this Book
- Important Notations
- Part 1: Introduction to the Calculus of Variations
- Part 2: Applications to Analytical Mechanics
- Part 3: Properties of Mechanical Systems
- Part 4: Problems and Exercises
- References
- Index