Classical Mechanics

• Vector Calculus.- and Basic Definitions.- The Scalar Product.- Component Representation of a Vector.- The Vector Product (Axial Vector).- The Triple Scalar Product.- Application of Vector Calculus.- Differentiation and Integration of Vectors.- The Moving Trihedral (Accompanying Dreibein)–the Frenet Formulas.- Surfaces in Space.- Coordinate Frames.- Vector Differential Operations.- Determination of Line Integrals.- The Integral Laws of Gauss and Stokes.- Calculation of Surface Integrals.- Volume (Space) Integrals.- Newtonian Mechanics.- Newton’s Axioms.- Basic Concepts of Mechanics.- The General Linear Motion.- The Free Fall.- Friction.- The Harmonic Oscillator.- Mathematical Interlude–Series Expansion, Euler’s Formulas.- The Damped Harmonic Oscillator.- The Pendulum.- Mathematical Interlude: Differential Equations.- Planetary Motions.- Special Problems in Central Fields.- The Earth and our Solar System.- Theory of Relativity.- Relativity Principle and Michelson-Morley Experiment.- TheLorentz Transformation.- Properties of the Lorentz transformation.- Addition Theorem of the Velocities.- The Basic Quantities of Mechanics in Minkowski Space.- Applications of the Special Theory of Relativity.

From the reviews: "What makes Greiner's volumes of particular value to the student and professor alike is their completeness ... Moreover, Greiner greatly increases the value of his presentation by including something like one hundred completely worked examples in each volume. Nothing is of greater importance to the student than seeing, in detail, how the theoretical concepts and tools under study are applied to actual problems of interest to working physicists ... Greiner's lectures ... are internationally noted for their clarity, for their completeness, and for the effort that he has devoted to making physics an integral whole. His enthusiasm for his sciences is contagious and shines through almost every page." D. Allan Bromley, Yale University "This softcover publication ... is based on the author's courses at the J. W. Goethe University in Frankfurt. ... Although the textbook, by its remarkable completeness, seems to be intended for advanced students and aims to be a reference book for graduate students and teachers, it is sufficiently understandable and extensive to be used by beginners as a first introduction to theoretical physics. It does not only provide a survey of classical theoretical mechanics, but also a respectable amount of examples and problems ... ." (Georges Kohnen, Physicalia, Vol. 57 (3), 2005) "This volume of lectures ... deals with the first and more elementary part of the important field of classical mechanics. The subject is presented 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. ... A worthwhile purchase for graduate students in physics ... ." (Current Engineering Practice - online, Vol. 47, 2004)