Mathematical Methods of Analytical Mechanics
eBook - ePub

Mathematical Methods of Analytical Mechanics

  1. 320 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Mathematical Methods of Analytical Mechanics

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 & Economic Theory. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Introduction to Mathematical Methods of Analytical Mechanics
  2. 1 Elementary Methods to the Calculus of Variations
  3. 2 Variation of Curvilinear Integral
  4. 3 The Noether Theorem
  5. 4 The Methods of Analytical Mechanics
  6. 5 Jacobi’s Integration Method
  7. 6 Spaces of Mechanics – Poisson Brackets
  8. 7 Properties of Phase Space
  9. 8 Oscillations and Small Motions of Mechanical Systems
  10. 9 The Stability of Periodic Systems
  11. 10 Problems and Exercises
  12. 11 Solutions to Problems and Exercises
  13. References
  14. Index