Prof. Rajeev received his B.Sc. in Physics from the University of Kerala, Trivandrum, India (1979), and his Ph.D. in Physics from Syracuse University (1984). He was a postdoctoral fellow at the Massachusetts Institute of Technology (1984-87) before joining the University of Rochester as an Assistant Professor of Physics in 1987. He was promoted to Associate Professor in 1993 and to Professor in 2000. Prof. Rajeev has held visiting appointments at the Institute for Advanced Study, Princeton (1991), the Research Institute for Theoretical Physics, Helsinki (1991), and the Mittag-Leffler Institute, Stockholm (1998).

The book appears to be well suited to serve the intended role of introducing physics students to mechanics and making clear to them the relevance of the subject for modern physics; but it will also be useful to mathematics students to understand that the subject is relevant and alive well beyond the classical realms of applications and/or abstract mathematical developments.

• 1. The Variational Principle ; 2. Conservation Laws ; 3. The Simple Pendulum ; 4. The Kepler Problem ; 5. The Rigid Body ; 6. Geometric Theory of Ordinary Differential Equations ; 7. Hamilton's Principle ; 8. Geodesics ; 9. Hamilton-Jacobi Theory ; 10. Integrable Systems ; 11. The Three Body Problem ; 12. The Restricted Three Body Problem ; 13. Magnetic Fields ; 14. Poisson and Symplectic Manifolds ; 15. Discrete Time ; 16. Dynamics in One Real Variable ; 17. Dynamics On The Complex Plane ; 18. KAM Theory

Prof. Rajeev received his B.Sc. in Physics from the University of Kerala, Trivandrum, India (1979), and his Ph.D. in Physics from Syracuse University (1984). He was a postdoctoral fellow at the Massachusetts Institute of Technology (1984-87) before joining the University of Rochester as an Assistant Professor of Physics in 1987. He was promoted to Associate Professor in 1993 and to Professor in 2000. Prof. Rajeev has held visiting appointments at the Institute for Advanced Study, Princeton (1991), the Research Institute for Theoretical Physics, Helsinki (1991), and the Mittag-Leffler Institute, Stockholm (1998).

The book appears to be well suited to serve the intended role of introducing physics students to mechanics and making clear to them the relevance of the subject for modern physics; but it will also be useful to mathematics students to understand that the subject is relevant and alive well beyond the classical realms of applications and/or abstract mathematical developments.

• 1. The Variational Principle ; 2. Conservation Laws ; 3. The Simple Pendulum ; 4. The Kepler Problem ; 5. The Rigid Body ; 6. Geometric Theory of Ordinary Differential Equations ; 7. Hamilton's Principle ; 8. Geodesics ; 9. Hamilton-Jacobi Theory ; 10. Integrable Systems ; 11. The Three Body Problem ; 12. The Restricted Three Body Problem ; 13. Magnetic Fields ; 14. Poisson and Symplectic Manifolds ; 15. Discrete Time ; 16. Dynamics in One Real Variable ; 17. Dynamics On The Complex Plane ; 18. KAM Theory

Prof. Rajeev received his B.Sc. in Physics from the University of Kerala, Trivandrum, India (1979), and his Ph.D. in Physics from Syracuse University (1984). He was a postdoctoral fellow at the Massachusetts Institute of Technology (1984-87) before joining the University of Rochester as an Assistant Professor of Physics in 1987. He was promoted to Associate Professor in 1993 and to Professor in 2000. Prof. Rajeev has held visiting appointments at the Institute for Advanced Study, Princeton (1991), the Research Institute for Theoretical Physics, Helsinki (1991), and the Mittag-Leffler Institute, Stockholm (1998).

The book appears to be well suited to serve the intended role of introducing physics students to mechanics and making clear to them the relevance of the subject for modern physics; but it will also be useful to mathematics students to understand that the subject is relevant and alive well beyond the classical realms of applications and/or abstract mathematical developments.

• 1. The Variational Principle ; 2. Conservation Laws ; 3. The Simple Pendulum ; 4. The Kepler Problem ; 5. The Rigid Body ; 6. Geometric Theory of Ordinary Differential Equations ; 7. Hamilton's Principle ; 8. Geodesics ; 9. Hamilton-Jacobi Theory ; 10. Integrable Systems ; 11. The Three Body Problem ; 12. The Restricted Three Body Problem ; 13. Magnetic Fields ; 14. Poisson and Symplectic Manifolds ; 15. Discrete Time ; 16. Dynamics in One Real Variable ; 17. Dynamics On The Complex Plane ; 18. KAM Theory