{"product_id":"classical-mechanics-9780387955865","title":"Classical Mechanics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eIntended 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews:\u003c\/p\u003e \u003cp\u003e\"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.\" \u003cem\u003eD. Allan Bromley, Yale University\u003c\/em\u003e\u003c\/p\u003e \u003cp\u003e\"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)\u003c\/p\u003e \u003cp\u003e\"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)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eContents 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","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":51767468032343,"sku":"9780387955865","price":85.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780387955865.jpg?v=1758713390","url":"https:\/\/bookcurl.com\/products\/classical-mechanics-9780387955865","provider":"Book Curl","version":"1.0","type":"link"}