• Produktbild: Classical Mechanics
  • Produktbild: Classical Mechanics

Classical Mechanics Point Particles and Relativity

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

04.12.2003

Verlag

Springer Us

Seitenzahl

488

Maße (L/B/H)

23.5/17.8/2.8 cm

Gewicht

1012 g

Auflage

2004

Sprache

Englisch

ISBN

978-0-387-95586-5

Beschreibung

Rezension

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)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

04.12.2003

Verlag

Springer Us

Seitenzahl

488

Maße (L/B/H)

23.5/17.8/2.8 cm

Gewicht

1012 g

Auflage

2004

Sprache

Englisch

ISBN

978-0-387-95586-5

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

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  • Produktbild: Classical Mechanics
  • Produktbild: Classical Mechanics
  • 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 th