Ralph Abraham, University of California, Santa Cruz, CA, and Jerrold E. Marsden, California Institute of Technology, Pasadena, CA

Undoubtedly [the book] will be for years the standard reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics."" —Zentralblatt fur Mathematik

• PreliminariesChapter 1. Differential theoryChapter 2. Calculus on manifoldsAnalytical dynamicsChapter 3. Hamiltonian and Lagrangian systemsChapter 4. Hamiltonian systems with symmetryChapter 5. Hamilton-Jacobi theory and mathematical physicsAn outline of qualitative dynamicsChapter 6. Topological dynamicsChapter 7. Differentiable dynamicsChapter 8. Index of IllustrationsChapter 9. Hamiltonian dynamicsCelestial mechanicsChapter 10. The two-body problemChapter 11. The three-body problemAppendix. The general theory of dynamical systems and classical mechanics by A. N. Kolmogorov

Ralph Abraham, University of California, Santa Cruz, CA, and Jerrold E. Marsden, California Institute of Technology, Pasadena, CA

Undoubtedly [the book] will be for years the standard reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics."" —Zentralblatt fur Mathematik

• PreliminariesChapter 1. Differential theoryChapter 2. Calculus on manifoldsAnalytical dynamicsChapter 3. Hamiltonian and Lagrangian systemsChapter 4. Hamiltonian systems with symmetryChapter 5. Hamilton-Jacobi theory and mathematical physicsAn outline of qualitative dynamicsChapter 6. Topological dynamicsChapter 7. Differentiable dynamicsChapter 8. Index of IllustrationsChapter 9. Hamiltonian dynamicsCelestial mechanicsChapter 10. The two-body problemChapter 11. The three-body problemAppendix. The general theory of dynamical systems and classical mechanics by A. N. Kolmogorov

Ralph Abraham, University of California, Santa Cruz, CA, and Jerrold E. Marsden, California Institute of Technology, Pasadena, CA

Undoubtedly [the book] will be for years the standard reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics."" —Zentralblatt fur Mathematik

• PreliminariesChapter 1. Differential theoryChapter 2. Calculus on manifoldsAnalytical dynamicsChapter 3. Hamiltonian and Lagrangian systemsChapter 4. Hamiltonian systems with symmetryChapter 5. Hamilton-Jacobi theory and mathematical physicsAn outline of qualitative dynamicsChapter 6. Topological dynamicsChapter 7. Differentiable dynamicsChapter 8. Index of IllustrationsChapter 9. Hamiltonian dynamicsCelestial mechanicsChapter 10. The two-body problemChapter 11. The three-body problemAppendix. The general theory of dynamical systems and classical mechanics by A. N. Kolmogorov