This volume of lectures, Classical Mechanics: Point Particles and Relativity, deals with the first and more elementary part of the important field of classical mechanics. We have tried to present the subject in a manner that is both interesting to the student and easily accessible. The main text is therefore accompanied by many exercises and examples that have been worked out in great detail. This should make the book useful also for students wishing to study the subject on their own.
ForewordPrefaceⅠ VECTOR CALCULUS 1 Introduction and Basic Definitions 2 The Scalar Product 3 Component Representation of a Vector 4 The Vector Product (Axial Vector) 5 The Triple Scalar Product 6 Application of Vector Calculus 7 Differentiation and Integration of Vectors 8 The Moving Trihedral (Accompanying Dreibein)--the Frenet 9 Surfaces in Space 10 Coordinate Frames 11 Vector Differential Operations 12 Determination of Line Integrals 13 The Integral Laws of Gauss and Stokes 14 Calculation of Surface Integrals 15 Volume (Space) IntegralsⅡ NEWTONIAN MECHANICS 16 Newton's Axioms 17 Basic Concepts of Mechanics 18 The General Linear Motion 19 The Free Fall 20 Friction 21 The Harmonic Oscillator 22 Mathematical Interlude--Series Expansion, Euler's Formulas 23 The Damped Harmonic Oscillator 24 The Pendulum 25 Mathematical Interlude: Differential Equations 26 Planetary Motions 27 Special Problems in Central Fields 28 The Earth and our Solar SystemⅢ THEORY OF RELATIVITY 29 Relativity Principle and Michelson-Morley Experiment 30 The Lorentz Transformation 31 Properties of the Lorentz transformation 32 Addition Theorem of the Velocities 33 The Basic Quantities of Mechanics in Minkowski Space 34 Applications of the Special Theory of RelativityIndex
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