Classical MechanicsGregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject: each concept is motivated and illustrated by worked examples, while problem sets provide plenty of practice for understanding and technique. Computer assisted problems, some suitable for projects, are also included. The book is structured to make learning the subject easy; there is a natural progression from core topics to more advanced ones and hard topics are treated with particular care. A theme of the book is the importance of conservation principles. These appear first in vectorial mechanics where they are proved and applied to problem solving. They reappear in analytical mechanics, where they are shown to be related to symmetries of the Lagrangian, culminating in Noether's theorem. |
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I use it only for solving end chapter problems (I don't know anything about the theory presented in the chapter as I cover theory from other books). It has an excellent collection of modern problems. It covers all topics on Newtonian Mechanics.
Contents
| 1 | |
| 25 | |
Newtons laws of motion and the law of gravitation | 50 |
Problems in particle dynamics | 73 |
Linear oscillations | 105 |
Energy conservation | 131 |
Orbits in a central field | 155 |
Nonlinear oscillations and phase space | 194 |
The angular momentum principle | 286 |
Analytical mechanics | 321 |
The calculus of variations and Hamiltons principle | 366 |
Hamiltons equations and phase space | 393 |
Further topics | 419 |
Vector angular velocity and rigid body kinematics | 457 |
Rotating reference frames | 469 |
Tensor algebra and the inertia tensor | 492 |
Multiparticle systems | 219 |
The linear momentum principle | 245 |
Problems in rigid body dynamics | 522 |
| 564 | |
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Common terms and phrases
acceleration amplitude angle angular momentum angular speed angular velocity approximation axis of symmetry ball centre of mass Chapter circular coefficients components configuration constraint forces coordinate system corresponding Deduce defined Definition degrees of freedom displacement distance Earth energy conservation equation of motion Example exerted final find first order fixed fixed point floor fluid follows force field frame F function generalised coordinates given gravitational Hamiltonian Hence horizontal initial conditions integral kinetic energy Lagrange’s equations Lagrangian linear momentum matrix mechanics moment of inertia moves normal frequencies normal modes obtain orbit particles P1 pendulum period perpendicular phase paths phase space plane polar position vector potential energy precession problem radius reference frame relative result rigid body rolling scalar scattering Show shown in Figure small oscillations solution sphere Suppose theorem theory uniform gravity unit vector variables vertical zero
Bibliographic information
| Title | Classical Mechanics |
| Author | R. Douglas Gregory |
| Publisher | Cambridge University Press, 2006 |
| ISBN | 1139450042, 9781139450041 |
| Subjects | › › Mathematics / Applied Mathematics / Linear & Nonlinear Programming Science / Mechanics / Fluids |
| Export Citation | BiBTeX EndNote RefMan |