Verfügbarkeit: Classical mechanics :: Universität Regensburg

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Bibliographische Detailangaben
Titel:	Classical mechanics
Von:	Herbert Goldstein ; Charles Poole ; John Safko
Person:	Goldstein, Herbert 1922-2005 Verfasser aut Poole, Charles P. Safko, John 1927-2015
Hauptverfassende:	Goldstein, Herbert 1922-2005 (VerfasserIn), Poole, Charles P. 1927-2015 (VerfasserIn), Safko, John (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	San Francisco ; Munich [u.a.] Addison-Wesley 2002
Ausgabe:	3. ed.
Notation:	UF 1000
Schlagwörter:	Klassieke mechanica MECÂNICA CLÁSSICA Mekanik, Analitik Mécanique analytique Mechanics, Analytic Kinematik Hamilton-Gleichungen Schwingung Mechanik Lagrange-Gleichungen Theoretische Mechanik Hamilton-Jacobi-Theorie Kraft Lehrbuch
Medienzugang:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009101144&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Abstract:	This revision retains the best features of the Second Edition while including new material reflecting advances in nonlinear dynamics, chaos, and fractal geometries.
Beschreibung:	Literaturverz. S. 623 - 638
Umfang:	XVIII, 638 S. graph. Darst.
ISBN:	0201657023

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Titel: Classical mechanics Autor: Goldstein, Herbert Jahr: 2002 Contents 1 ¦ Survey of the Elementary Principles 1 1.1 Mechanics of a Particle 1 1.2 Mechanics of a System of Particles 5 1.3 Constraints 12 1.4 D Alembert s Principle and Lagrange s Equations 16 1.5 Velocity-Dependent Potentials and the Dissipation Function 22 1.6 Simple Applications of the Lagrangian Formulation 24 2 ¦ Variational Principles and Lagrange s Equations 34 2.1 Hamilton s Principle 34 2.2 Some Techniques of the Calculus of Variations 36 2.3 Derivation of Lagrange s Equations from Hamilton s Principle 44 2.4 Extension of Hamilton s Principle to Nonholonomic Systems 45 2.5 Advantages of a Variational Principle Formulation 51 2.6 Conservation Theorems and Symmetry Properties 54 2.7 Energy Function and the Conservation of Energy 60 3 ¦ The Central Force Problem 70 3.1 Reduction to the Equivalent One-Body Problem 70 3.2 The Equations of Motion and First Integrals 72 3.3 The Equivalent One-Dimensional Problem, and Classification of Orbits 76 3.4 The Virial Theorem 83 3.5 The Differential Equation for the Orbit, and Integrable Power-Law Potentials 86 3.6 Conditions for Closed Orbits (Bertrand s Theorem) 89 3.7 The Kepler Problem: Inverse-Square Law of Force 92 3.8 The Motion in Time in the Kepler Problem 98 3.9 The Laplace-Runge-Lenz Vector 102 3.10 Scattering in a Central Force Field 106 3.11 Transformation of the Scattering Problem to Laboratory Coordinates 114 3.12 The Three-Body Problem 121 v VI 154 Contents t ¦ The Kinematics of Rigid Body Motion 134 4.1 The Independent Coordinates of a Rigid Body 134 4.2 Orthogonal Transformations 139 4.3 Formal Properties of the Transformation Matrix 144 4.4 The Euler Angles 150 4.5 The Cayley-Klein Parameters and Related Quantities 4.6 Euler s Theorem on the Motion of a Rigid Body 155 4.7 Finite Rotations 161 ( ^ 4.8 Infinitesimal Rotations 163 4.9 Rate of Change of a Vector 171 4.10 The Coriolis Effect 174 ^ 5 ¦ The Rigid Body Equations of Motion 184 5.1 Angular Momentum and Kinetic Energy of Motion about a Point 184 5.2 Tensors 188 5.3 The Inertia Tensor and the Moment of Inertia 191 5.4 The Eigenvalues of the Inertia Tensor and the Principal Axis Transformation 195 5.5 Solving Rigid Body Problems and the Euler Equations of Motion 198 5.6 Torque-free Motion of a Rigid Body 200 5.7 The Heavy Symmetrical Top with One Point Fixed 208 5.8 Precession of the Equinoxes and of Satellite Orbits 223 5.9 Precession of Systems of Charges in a Magnetic Field 230 6 ¦ Oscillations 238 6.1 Formulation of the Problem 238 6.2 The Eigenvalue Equation and the Principal Axis Transformation 241 6.3 Frequencies of Free Vibration, and Normal Coordinates 250 6.4 Free Vibrations of a Linear Triatomic Molecule 253 6.5 Forced Vibrations and the Effect of Dissipative Forces 259 6.6 Beyond Small Oscillations: The Damped Driven Pendulum and the Josephson Junction 265 7 ¦ The Classical Mechanics of the Special Theory of Relativity 276 7.1 Basic Postulates of the Special Theory 277 7.2 Lorentz Transformations 280 7.3 Velocity Addition and Thomas Precession 282 7.4 Vectors and the Metric Tensor 286 Contents vii 7.5 1-Forms and Tensors 289 7.6 Forces in the Special Theory; Electromagnetism 297 7.7 Relativistic Kinematics of Collisions and Many-Particle Systems 300 7.8 Relativistic Angular Momentum 309 7.9 The Lagrangian Formulation of Relativistic Mechanics 312 7.10 Covariant Lagrangian Formulations 318 7.11 Introduction to the General Theory of Relativity 324 8 ¦ The Hamilton Equations of Motion 334 8.1 Legendre Transformations and the Hamilton Equations of Motion 334 8.2 Cyclic Coordinates and Conservation Theorems 343 8.3 Routh s Procedure 347 8.4 The Hamiltonian Formulation of Relativistic Mechanics 349 8.5 Derivation of Hamilton s Equations from a Variational Principle 353 8.6 The Principle of Least Action 356 9 ¦ Canonical Transformations 368 9.1 The Equations of Canonical Transformation 368 9.2 Examples of Canonical Transformations 375 9.3 The Harmonic Oscillator 377 9.4 The Symplectic Approach to Canonical Transformations 381 9.5 Poisson Brackets and Other Canonical Invariants 388 9.6 Equations of Motion, Infinitesimal Canonical Transformations, and Conservation Theorems in the Poisson Bracket Formulation 396 9.7 The Angular Momentum Poisson Bracket Relations 408 9.8 Symmetry Groups of Mechanical Systems 412 9.9 Liouville s Theorem 419 10 ¦ Hamilton-Jacobi Theory and Action-Angle Variables 430 10.1 The Hamilton-Jacobi Equation for Hamilton s Principal Function 430 10.2 The Harmonic Oscillator Problem as an Example of the Hamilton-Jacobi Method 434 10.3 The Hamilton-Jacobi Equation for Hamilton s Characteristic Function 440 10.4 Separation of Variables in the Hamilton-Jacobi Equation 444 10.5 Ignorable Coordinates and the Kepler Problem 445 10.6 Action-angle Variables in Systems of One Degree of Freedom 452 viii Contents 10.7 Action-Angle Variables for Completely Separable Systems 457 10.8 The Kepler Problem in Action-angle Variables 466 11 B Classical Chaos 483 11.1 Periodic Motion 484 /! 11.2 Perturbations and the Kolmogorov-Arnold-Moser Theorem 487 11.3 Attractors 489 11.4 Chaotic Trajectories and Liapunov Exponents 491 11.5 Poincare Maps 494 11.6 Henon-Heiles Hamiltonian 496 r 11.7 Bifurcations, Driven-damped Harmonic Oscillator, and Parametric Resonance 505 11.8 The Logistic Equation 509 ; f 11.9 Fractals and Dimensionality 516 12 ¦ Canonical Perturbation Theory 526 12.1 Introduction 526 12.2 Time-dependent Perturbation Theory 527 12.3 Illustrations of Time-dependent Perturbation Theory 533 12.4 Time-independent Perturbation Theory 541 12.5 Adiabatic Invariants 549 13 ¦ Introduction to the Lagrangian and Hamiltonian Formulations for Continuous Systems and Fields 558 13.1 The Transition from a Discrete to a Continuous System 558 13.2 The Lagrangian Formulation for Continuous Systems 561 13.3 The Stress-energy Tensor and Conservation Theorems 566 13.4 Hamiltonian Formulation 572 13.5 Relativistic Field Theory 577 . .. .. 13.6 Examples of Relativistic Field Theories 583 13.7 Noether s Theorem 589 Appendix A ¦ Euler Angles in Alternate Conventions and Cayley-Klein Parameters 601 Appendix B ¦ Groups and Algebras 605 Selected Bibliography 617 Author Index 623 Subject Index 625
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genre	1\p (DE-588)4123623-3 Lehrbuch gnd-content
genre_facet	Lehrbuch
id	DE-604.BV013345313
illustrated	Illustrated
indexdate	2024-12-20T10:45:36Z
institution	BVB
isbn	0201657023
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-009101144
oclc_num	47056311
open_access_boolean
owner	DE-355 DE-BY-UBR DE-29T DE-703 DE-19 DE-BY-UBM DE-20 DE-91G DE-BY-TUM DE-11
owner_facet	DE-355 DE-BY-UBR DE-29T DE-703 DE-19 DE-BY-UBM DE-20 DE-91G DE-BY-TUM DE-11
physical	XVIII, 638 S. graph. Darst.
publishDate	2002
publishDateSearch	2002
publishDateSort	2002
publisher	Addison-Wesley
record_format	marc
spellingShingle	Goldstein, Herbert 1922-2005 Poole, Charles P. 1927-2015 Safko, John Classical mechanics Klassieke mechanica gtt MECÂNICA CLÁSSICA larpcal Mekanik, Analitik Mécanique analytique Mechanics, Analytic Kinematik (DE-588)4030664-1 gnd Hamilton-Gleichungen (DE-588)4289066-4 gnd Schwingung (DE-588)4053999-4 gnd Mechanik (DE-588)4038168-7 gnd Lagrange-Gleichungen (DE-588)4166461-9 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Hamilton-Jacobi-Theorie (DE-588)4278207-7 gnd Kraft (DE-588)4032651-2 gnd
subject_GND	(DE-588)4030664-1 (DE-588)4289066-4 (DE-588)4053999-4 (DE-588)4038168-7 (DE-588)4166461-9 (DE-588)4185100-6 (DE-588)4278207-7 (DE-588)4032651-2 (DE-588)4123623-3
title	Classical mechanics
title_auth	Classical mechanics
title_exact_search	Classical mechanics
title_full	Classical mechanics Herbert Goldstein ; Charles Poole ; John Safko
title_fullStr	Classical mechanics Herbert Goldstein ; Charles Poole ; John Safko
title_full_unstemmed	Classical mechanics Herbert Goldstein ; Charles Poole ; John Safko
title_short	Classical mechanics
title_sort	classical mechanics
topic	Klassieke mechanica gtt MECÂNICA CLÁSSICA larpcal Mekanik, Analitik Mécanique analytique Mechanics, Analytic Kinematik (DE-588)4030664-1 gnd Hamilton-Gleichungen (DE-588)4289066-4 gnd Schwingung (DE-588)4053999-4 gnd Mechanik (DE-588)4038168-7 gnd Lagrange-Gleichungen (DE-588)4166461-9 gnd Theoretische Mechanik (DE-588)4185100-6 gnd Hamilton-Jacobi-Theorie (DE-588)4278207-7 gnd Kraft (DE-588)4032651-2 gnd
topic_facet	Klassieke mechanica MECÂNICA CLÁSSICA Mekanik, Analitik Mécanique analytique Mechanics, Analytic Kinematik Hamilton-Gleichungen Schwingung Mechanik Lagrange-Gleichungen Theoretische Mechanik Hamilton-Jacobi-Theorie Kraft Lehrbuch
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009101144&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT goldsteinherbert classicalmechanics AT poolecharlesp classicalmechanics AT safkojohn classicalmechanics

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