Synopses & Reviews
Praise for Greiner's previous books in Classical Mechanics: "What makes Greiner's volumes of particular value to the student and professor alike is their completeness ... 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." --D ALLAN BROVLEY, YALE UNIVERSITY
Review
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)
Review
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)
Synopsis
More than a generation of German-speaking students around the world have worked their way to an understanding and appreciation of the power and beauty of modern theoretical physics--with mathematics, the most fundamental of sciences--using Walter Greiner's textbooks as their guide. The idea of developing a coherent, complete presentation of an entire ?eld of science in a series of closely related textbooks is not a new one. Many older physicians remember with real pleasure their sense of adventure and discovery as they worked their ways through the classic series by Sommerfeld, by Planck, and by Landau and Lifshitz. From the students' viewpoint, there are a great many obvious advantages to be gained through the use of consistent notation, logical ordering of topics, and coherence of presentation; beyond this, thecompletecoverageofthescienceprovidesauniqueopportunityfortheauthortoconvey his personal enthusiasm and love for his subject. These volumes on classical physics, ?nally available in English, complement Greiner's textsonquantumphysics, mostofwhichhavebeenavailabletoEnglish-speakingaudiences for some time. The complete set of books will thus provide a coherent view of physics that includes, in classical physics, thermodynamics and statistical mechanics, classical dyn- ics, electromagnetism, and general relativity; and in quantum physics, quantum mechanics, symmetries, relativistic quantum mechanics, quantum electro- and chromodynamics, and the gauge theory of weak interactions.
Synopsis
Intended for advanced undergraduates and beginning graduate students, this text is based on the highly successful course given by Walter Greiner at the University of Frankfurt, Germany. The two volumes on classical mechanics provide not only a complete survey of the topic but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems.
Table of Contents
Contents
Foreword
Preface
I 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
Application in mathematics:
Application in physics:
7 Differentiation and Integration of Vectors
8 The Moving Trihedral (Accompanying Dreibein)-the Frenet
Formulas
Examples on Frenet's formulas:
9 Surfaces in Space
10 Coordinate Frames
11 Vector Differential Operations
The operations gradient, divergence, and curl (rotation)
Differential operators in arbitrary general (curvilinear) coordinates
12 Determination of Line Integrals
13 The Integral Laws of Gauss and Stokes
Gauss Law:
The Gauss theorem:
Geometric interpretation of the Gauss theorem:
Stokes law:
14 Calculation of Surface Integrals
15 Volume (Space) Integrals
II NEWTONIAN MECHANICS
16 Newton's Axioms
17 Basic Concepts of Mechanics
Inertial systems
Measurement of masses
Work
Kinetic energy
Conservative forces
Potential
Energy law
Equivalence of impulse of force and momentum change
Angular momentum and torque
Conservation law of angular momentum
Law of conservation of the linear momentum
Summary
The law of areas
Conservation of orientation
18 The General Linear Motion
19 The Free Fall
Vertical throw
Inclined throw
20 Friction
Friction phenomena in a viscous medium
Motion in a viscous medium with Newtonian friction
Generalized ansatz for 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
The gravitational field of extended bodies
The attractive force of a spherical mass shell
The gravitational potential of a spherical shell covered with mass
Stability of circular orbits
28 The Earth and our Solar System
General notions of astronomy
Determination of astronomic quantities
Properties, position, and evolution of the solar system
World views
On the evolution of the universe
Dark Matter
What is the nature of the dark matter?
III THEORY OF RELATIVITY
29 Relativity Principle and Michelson-Morley Experiment
The Michelson-Morley experiment
30 The Lorentz Transformation
Rotation of a three-dimensional coordinate frame
The Minkowski space
Group property of the Lorentz transformation
31 Properties of the Lorentz transformation
Time dilatation
Lorentz-Fitzgerald length contraction
Note on the invisibility of the Lorentz-Fitzgerald length contraction
The visible appearance of quickly moving bodies
Optical appearance of a quickly moving cube
Optical appearance of bodies moving with almost the speed of light
Light intensity distribution of a moving isotropic emitter
Doppler shift of quickly moving bodies
Relativistic space-time structure-space-time events
Relativistic past, present, future
The causality principle
The Lorentz transformation in the two-dimensional subspace of the Minkowski space
32 Addition Theorem of the Velocities
Supervelocity of light, phase, and group velocity
33 The Basic Quantities of Mechanics in Minkowski Space
Lorentz scalars
Four-velocity in Minkowski space
Momentum in Minkowski space
Minkowski force (four-force)
Kinetic energy
The Tachyon hypothesis
Derivation of the energy law in the Minkowski space
The fourth momentum component
Conservation of momentum and energy for a free particle
Relativistic energy for free particles
Examples on the equivalence of mass and energy
34 Applications of the Special Theory of Relativity
The elastic collision
Compton scattering
The inelastic collision
Decay of an unstable particle
Index