Classical Mechanics

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Cambridge University Press, Apr 13, 2006 - Science
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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good books

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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

Newtonian mechanics of a single particle
1
Velocity acceleration and scalar angular velocity
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
Appendix Centres of mass and moments of inertia
564

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About the author (2006)

Douglas Gregory is Professor of Mathematics at the University of Manchester. He is a researcher of international standing in the field of elasticity, and has held visiting positions at New York University, the University of British Columbia, and the University of Washington. He is highly regarded as a teacher of applied mathematics: this, his first book, is the product of many years ' teaching experience.

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