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A MODERN APPROACH TO CLASSICAL MECHANICS
by Harald Iro (Johannes Kepler University Linz, Austria)
The approach to classical mechanics adopted in this book includes and stresses recent developments in nonlinear dynamical systems. 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 centers problem) studied in the frame of Newtonian, Lagrangian, and Hamiltonian mechanics, nonintegrable systems (the Hénon–Heiles system, motion in a Coulomb force field together with a 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 book 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 book is also addressed to lecturers in this field and to physicists who want to obtain a new perspective on classical mechanics.
Contents:
- The Foundations of Mechanics
- One-Dimensional Motion of a Particle
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Encountering Peculiar Motion in Two Dimensions
- Motion in a Central Force Field
- The Gravitational Interaction of Two Bodies
- Collisions of Particles. Scattering
- Changing the Frame of Reference
- Lagrangian Mechanics
- Conservation Laws and Symmetries in Many Particle Systems
- The Rigid Body
- Small Oscillations
- Hamilton's Canonical Formulation of Mechanics
- Hamilton–Jacobi Theory
- From Integrable to Non-Integrable Systems
Readership: Upper level undergraduates and academics/lecturers.
"... this book is a rather complete reference for an undergraduate level, and it achieves its purpose of presenting classical mechanics from the point of view of dynamical systems theory."
“Most interesting is the view on mechanical phenomena which is presented to students and which is aimed to make them cautious on the complex behavior of some (more or less) simple systems ... Ideas from this book are welcomed in every course of classical mechanics, and it is good to have it in any library of universities where mechanics is read.”
| 456pp |
Pub. date: Jan 2003 |
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