Classical Dynamics: A Contemporary ApproachRecent advances in the study of dynamical systems have revolutionized the way that classical mechanics is taught and understood. This new and comprehensive textbook provides a complete description of this fundamental branch of physics. The authors cover all the material that one would expect to find in a standard graduate course: Lagrangian and Hamiltonian dynamics, canonical transformations, the Hamilton-Jacobi equation, perturbation methods, and rigid bodies. They also deal with more advanced topics such as the relativistic Kepler problem, Liouville and Darboux theorems, and inverse and chaotic scattering. A key feature of the book is the early introduction of geometric (differential manifold) ideas, as well as detailed treatment of topics in nonlinear dynamics (such as the KAM theorem) and continuum dynamics (including solitons). Over 200 homework exercises are included. It will be an ideal textbook for graduate students of physics, applied mathematics, theoretical chemistry, and engineering, as well as a useful reference for researchers in these fields. A solutions manual is available exclusively for instructors. |
Contents
CCXLVII | 544 |
CCXLVIII | 546 |
CCXLIX | 547 |
CCL | 553 |
CCLI | 556 |
CCLII | 557 |
CCLIII | 560 |
CCLIV | 561 |
CCLXXXI | 610 |
CCLXXXII | 611 |
CCLXXXIII | 612 |
CCLXXXIV | 614 |
CCLXXXV | 615 |
CCLXXXVI | 616 |
CCLXXXVII | 618 |
CCLXXXVIII | 620 |
CCLVI | 564 |
CCLVII | 565 |
CCLVIII | 566 |
CCLIX | 567 |
CCLX | 571 |
CCLXII | 572 |
CCLXIII | 576 |
CCLXIV | 577 |
CCLXV | 579 |
CCLXVI | 580 |
CCLXVII | 582 |
CCLXVIII | 583 |
CCLXIX | 584 |
CCLXX | 586 |
CCLXXI | 588 |
CCLXXII | 589 |
CCLXXIII | 590 |
CCLXXIV | 594 |
CCLXXVI | 595 |
CCLXXVII | 597 |
CCLXXVIII | 599 |
CCLXXIX | 601 |
CCLXXX | 608 |
Other editions - View all
Classical Dynamics: A Contemporary Approach Jorge V. José,Eugene J. Saletan No preview available - 1998 |
Classical Dynamics: A Contemporary Approach Jorge V. José,Eugene J Saletan No preview available - 2013 |
Common terms and phrases
AA variables analog angle angular momentum axis calculated called canonical equations Cantor set center of mass components conserved constant constraint coordinate system defined depends derivative differential equations dimension discussed disks dynamical system dynamical variable eigenvalues elliptic equations of motion example FIGURE finite fixed point force frequency function harmonic oscillator hence HJ equation implies inertial initial conditions integral curves invariant inverted KAM theorem kinetic energy Lagrangian linear manifold matrix Noether's theorem nonlinear obtained one-form one-freedom orbit P₁ parameter particle pendulum perturbation theory phase portrait plane Poincaré map Poisson bracket position potential problem region result rotation scattering Section soliton solution space stable submanifold surface tangent theorem tori torus trajectory transformation unstable unstable manifold values vector field velocity wave write written yields zero дда