The approach to classical mechanics adopted in this text includes recent developments in nonlinear dynamical systems, and the concepts necessary to formulate and understand chaotic behavior are presented. Besides the conventional topics (such as oscillators, the Kepler problem, spinning tops and the two centres problem) studied in the frame of Newtonian, Lagrangian, and Hamiltonian mechanics, nonintegrable systems (the Henon-Heiles system, the Coulomb force and the homogeneous magnetic field, the restricted three-body problem) are also discussed. The question of the integrability (of planetary motion, for example) leads finally to the KAM-theorem. This work is the result of lectures on "Classical Mechanics" as the first part of a basic course in Theoretical Physics. These lectures were given by the author to undergraduate students in their second year at the Johannes Kepler University Linz, Austria. The work is also addressed to lecturers in this field and to physicists who want to obtain a new perspective on classical mechanics.
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In the latter half of the 19th century, physics was widely considered to be complete. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
independent conserved quantities, homogeneous mass distribution, isotropic oscillator, three conserved quantities, central force field, bounded motion, canonical perturbation theory, plane pendulum, reduced phase space, canonical equations, inclined track, adiabatic invariance, elliptical coordinates, mass frame, spherical pendulum, double pendulum, inertia tensor, canonical transformation Key Phrases - Capitalized Phrases (CAPs): (learn more)
The Principia, New York, The Science of Mechanics New!
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In the latter half of the 19th century, physics was widely considered to be complete. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
independent conserved quantities, homogeneous mass distribution, isotropic oscillator, three conserved quantities, central force field, bounded motion, canonical perturbation theory, plane pendulum, reduced phase space, canonical equations, inclined track, adiabatic invariance, elliptical coordinates, mass frame, spherical pendulum, double pendulum, inertia tensor, canonical transformation Key Phrases - Capitalized Phrases (CAPs): (learn more)
The Principia, New York, The Science of Mechanics New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 21
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- The Science of Mechanics: A Critical and Historical Account of Its Development by Ernst Mach on 5 pages
- Classical Mechanics by Richard A. Matzner in Back Matter
- Elements of Newtonian Mechanics: Including Nonlinear Dynamics (Advanced Texts in Physics) by Jens M. Knudsen in Back Matter
- Newtonian Mechanics (The M.I.T. Introductory Physics Series) by A.P. French in Back Matter
- Science and Method by Henri Poincare in Back Matter
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- From Cosmos to Chaos: The Science of Unpredictability by Peter Coles on page 84
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