Analytical Mechanics: An Introduction (... | WHSmith Books
Analytical Mechanics: An Introduction (Oxford Graduate Texts)

Analytical Mechanics: An Introduction (Oxford Graduate Texts)

By: Stefano Marmi (author), Antonio Fasano (author), Beatrice Pelloni (translator)Paperback

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Analytical Mechanics is the investigation of motion with the rigorous tools of mathematics, with remarkable applications to many branches of physics (Astronomy, Statistical and Quantum Mechanics, etc.). Rooted in the works of Lagrange, Euler, and Poincare, it is a classical subject with fascinating developments and still rich with open problems. It addresses such fundamental questions as: Is the solar system stable? Is there a unifying "economy" principle in mechanics? How can a point mass be described as a "wave"? This book was written to fill a gap between elementary expositions and more advanced (and clearly more stimulating) material. It takes the challenge to explain the most relevant ideas and to show the most important applications using plain language and "simple" mathematics, often through an original approach. Basic calculus is enough for the reader to proceed through the book and when more is required, the new mathematical concepts are illustrated, again in plain language. The book

About Author

Professor Antonio Fasano Dipartimento di Matematica "U. Dini" Universita di Firenze Viale Morgagni 67A 50134 Firenze Italy Professor Stefano Marmi Scuola Normale Superiore Piazza dei Cavalieri 7 56126 Pisa Italy


1. Geometric and kinematic foundations of Lagrangian mechanics ; 2. Dynamics: general laws and the dynamics of a point particle ; 3. One-dimensional motion ; 4. The dynamics of discrete systems. Lagrangian formalism ; 5. Motion in a central field ; 6. Rigid bodies: geometry and kinematics ; 7. The mechanics of rigid bodies: dynamics ; 8. Analytical mechanics: Hamiltonian formalism ; 9. Analytical mechanics: variational principles ; 10. Analytical mechanics: canonical formalism ; 11. Analytical mechanics: Hamilton-Jacobi theory and integrability ; 12. Analytical mechanics: canonical perturbation theory ; 13. Analytical mechanics: an introduction to ergodic theory and to chaotic motion ; 14. Statistical mechanics: kinetic theory ; 15. Statistical mechanics: Gibbs sets ; 16. Lagrangian formalism in continuum mechanics ; Appendices

Product Details

  • ISBN13: 9780199673858
  • Format: Paperback
  • Number Of Pages: 792
  • ID: 9780199673858
  • weight: 1278
  • ISBN10: 0199673853

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