Gregory'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.
Newtons laws of motion and the law of gravitation
Problems in particle dynamics
Orbits in a central ﬁeld
Nonlinear oscillations and phase space
The angular momentum principle
The calculus of variations and Hamiltons principle
Hamiltons equations and phase space
Vector angular velocity and rigid body kinematics
Rotating reference frames
Tensor algebra and the inertia tensor
The linear momentum principle
Problems in rigid body dynamics