Knudsen J.M., Hjorth P.G. Elements of Newtonian Mechanics: Including Nonlinear Dynamics

Berlin: Springer, 2000. — 459 p.This textbook provides a thorough introduction to Newtonian Mechanics and is intended for university students in physics, astronomy and engineering. It is based on a course for which Dr. Knudsen earned an award for the best teaching at the University of Copenhagen, Denmark. More than 100 problems with solutions and 89 worked examples help the student to grasp the essential aspects of the subject, and to develop proficiency in using the powerful methods of Newtonian mechanics. Moreover, the fundamental problem of motion and the concept of inertial frames is faced from the very beginning, and runs through the entire development of classical mechanics. This new and fresh approach is presented in its third edition, which has been revised and enlarged.The Foundation of Classical Mechanics
Newton’s Five Laws
Gravitational and Inertial Mass
The Galilei Transformation
The Motion of the Earth
Motion in Accelerated Reference Frames
The Problem of Motion
Energy
The Center-of-Mass Theorem
The Angular Momentum Theorem
Rotation of a Rigid Body
The Laws of Motion
The General Motion of a Rigid Body
The Motion of the Planets
Harmonic Oscillators
Remarks on Nonlinearity and Chaos