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Classical dynamics of particles and systems /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Classical dynamics of particles and systems /Stephen T. Thornton ; Jerry B. Marion.
作者:	Thornton, Stephen T.
其他作者:	Marion, Jerry B.
出版者:	Boston, MA :Brooks/Cole, Cengage Learning,©2008.
面頁冊數:	xvi, 656 Seiten :Illustrationen ;24 cm
附註:	Marion's name appears first on earlier edition.
標題:	Dynamics.
ISBN:	9780534408961

Classical dynamics of particles and systems /
Thornton, Stephen T.

Classical dynamics of particles and systems /Stephen T. Thornton ; Jerry B. Marion. - 5th ed. - Boston, MA :Brooks/Cole, Cengage Learning,©2008. - xvi, 656 Seiten :Illustrationen ;24 cm

Marion's name appears first on earlier edition.

Includes bibliographical references (p. 628-632) and index.

Matrices, Vectors, and Vector Calculus1

ISBN: 9780534408961Subjects--Topical Terms:

189568
Dynamics.

LC Class. No.: QA845 / .T45 2008

Dewey Class. No.: 531.11

Classical dynamics of particles and systems /
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003 OCoLC
005 20221006041803.0
008 221006s2008 maua b 001 0 eng d
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029 1 $a GBVCP $b 690245785
035 $a (OCoLC)799120677
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040 $a DEBSZ $b ger $e rakwb $c DEBSZ $d HDC $d OCLCO $d OCLCF $d GBVCP $d OCLCQ $d OCLCO
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100 1 $a Thornton, Stephen T. $3 267068
245 1 0 $a Classical dynamics of particles and systems / $c Stephen T. Thornton ; Jerry B. Marion.
250 $a 5th ed.
260 $a Boston, MA : $b Brooks/Cole, Cengage Learning, $c ©2008.
300 $a xvi, 656 Seiten : $b Illustrationen ; $c 24 cm
336 $a Text $b txt $2 rdacontent/ger
337 $a ohne Hilfsmittel zu benutzen $b n $2 rdamedia/ger
338 $a Band $b nc $2 rdacarrier/ger
500 $a Marion's name appears first on earlier edition.
504 $a Includes bibliographical references (p. 628-632) and index.
505 0 0 $g 1 $t Matrices, Vectors, and Vector Calculus $g 1 -- $g 1.2 $t Concept of a Scalar $g 2 -- $g 1.3 $t Coordinate Transformations $g 3 -- $g 1.4 $t Properties of Rotation Matrices $g 6 -- $g 1.5 $t Matrix Operations $g 9 -- $g 1.7 $t Geometrical Significance of Transformation Matrices $g 14 -- $g 1.8 $t Definitions of a Scalar and a Vector in Terms of Transformation Properties $g 20 -- $g 1.9 $t Elementary Scalar and Vector Operations $g 20 -- $g 1.10 $t Scalar Product of Two Vectors $g 21 -- $g 1.11 $t Unit Vectors $g 23 -- $g 1.12 $t Vector Product of Two Vectors $g 25 -- $g 1.13 $t Differentiation of a Vector with Respect to a Scalar $g 29 -- $g 1.14 $t Examples of Derivatives -- Velocity and Acceleration $g 30 -- $g 1.15 $t Angular Velocity $g 34 -- $g 1.16 $t Gradient Operator $g 37 -- $g 1.17 $t Integration of Vectors $g 40 -- $g 2 $t Newtonian Mechanics -- Single Particle $g 48 -- $g 2.2 $t Newton's Laws $g 49 -- $g 2.3 $t Frames of Reference $g 53 -- $g 2.4 $t The Equation of Motion for a Particle $g 55 -- $g 2.5 $t Conservation Theorems $g 76 -- $g 2.6 $t Energy $g 82 -- $g 2.7 $t Limitations of Newtonian Mechanics $g 88 -- $g 3 $t Oscillations $g 99 -- $g 3.2 $t Simple Harmonic Oscillator $g 100 -- $g 3.3 $t Harmonic Oscillations in Two Dimensions $g 104 -- $g 3.4 $t Phase Diagrams $g 106 -- $g 3.5 $t Damped Oscillations $g 108 -- $g 3.6 $t Sinusoidal Driving Forces $g 117 -- $g 3.7 $t Physical Systems $g 123 -- $g 3.8 $t Principle of Superposition -- Fourier Series $g 126 -- $g 3.9 $t The Response of Linear Oscillators to Impulsive Forcing Functions (Optional) $g 129 -- $g 4 $t Nonlinear Oscillations and Chaos $g 144 -- $g 4.2 $t Nonlinear Oscillations $g 146 -- $g 4.3 $t Phase Diagrams for Nonlinear Systems $g 150 -- $g 4.4 $t Plane Pendulum $g 155 -- $g 4.5 $t Jumps, Hysteresis, and Phase Lags $g 160 -- $g 4.6 $t Chaos in a Pendulum $g 163 -- $g 4.7 $t Mapping $g 169 -- $g 4.8 $t Chaos Identification $g 174 -- $g 5 $t Gravitation $g 182 -- $g 5.2 $t Gravitational Potential $g 184 -- $g 5.3 $t Lines of Force and Equipotential Surfaces $g 194 -- $g 5.4 $t When Is the Potential Concept Useful? $g 195 -- $g 5.5 $t Ocean Tides $g 198 -- $g 6 $t Some Methods in the Calculus of Variations $g 207 -- $g 6.2 $t Statement of the Problem $g 207 -- $g 6.3 $t Euler's Equation $g 210 -- $g 6.4 $t The "Second Form" of the Euler Equation $g 216 -- $g 6.5 $t Functions with Several Dependent Variables $g 218 -- $g 6.6 $t Euler Equations When Auxiliary Conditions Are Imposed $g 219 -- $g 6.7 $t The [delta] Notation $g 224 -- $g 7 $t Hamilton's Principle -- Lagrangian and Hamiltonian Dynamics $g 228 -- $g 7.2 $t Hamilton's Principle $g 229 -- $g 7.3 $t Generalized Coordinates $g 233 -- $g 7.4 $t Lagrange's Equations of Motion in Generalized Coordinates $g 237 -- $g 7.5 $t Lagrange's Equations with Undetermined Multipliers $g 248 -- $g 7.6 $t Equivalence of Lagrange's and Newton's Equations $g 254 -- $g 7.7 $t Essence of Lagrangian Dynamics $g 257 -- $g 7.8 $t A Theorem Concerning the Kinetic Energy $g 258 -- $g 7.9 $t Conservation Theorems Revisited $g 260 -- $g 7.10 $t Canonical Equations of Motion -- Hamiltonian Dynamics $g 265 -- $g 7.11 $t Some Comments Regarding Dynamical Variables and Variational Calculations in Physics $g 272 -- $g 7.12 $t Phase Space and Liouville's Theorem (Optional) $g 274 -- $g 7.13 $t Virial Theorem (Optional) $g 277 -- $g 8 $t Central-Force Motion $g 287 -- $g 8.2 $t Reduced Mass $g 287 -- $g 8.3 $t Conservation Theorems -- First Integrals of the Motion $g 289 -- $g 8.4 $t Equations of Motion $g 291 -- $g 8.5 $t Orbits in a Central Field $g 295 -- $g 8.6 $t Centrifugal Energy and the Effective Potential $g 296 -- $g 8.7 $t Planetary Motion -- Kepler's Problem $g 300 -- $g 8.8 $t Orbital Dynamics $g 305 -- $g 8.9 $t Apsidal Angles and Precession (Optional) $g 312 -- $g 8.10 $t Stability of Circular Orbits (Optional) $g 316 -- $g 9 $t Dynamics of a System of Particles $g 328 -- $g 9.2 $t Center of Mass $g 329 -- $g 9.3 $t Linear Momentum of the System $g 331 -- $g 9.4 $t Angular Momentum of the System $g 336 -- $g 9.5 $t Energy of the System $g 339 -- $g 9.6 $t Elastic Collisions of Two Particles $g 345 -- $g 9.7 $t Kinematics of Elastic Collisions $g 352 -- $g 9.8 $t Inelastic Collisions $g 358 -- $g 9.9 $t Scattering Cross Sections $g 363 -- $g 9.10 $t Rutherford Scattering Formula $g 369 -- $g 9.11 $t Rocket Motion $g 371 -- $g 10 $t Motion in a Nonintertial Reference Frame $g 387 -- $g 10.2 $t Rotating Coordinate Systems $g 388 -- $g 10.3 $t Centrifugal and Coriolis Forces $g 391 -- $g 10.4 $t Motion Relative to the Earth $g 395 -- $g 11 $t Dynamics of Rigid Bodies $g 411 -- $g 11.2 $t Simple Planar Motion $g 412 -- $g 11.3 $t Inertia Tensor $g 415 -- $g 11.4 $t Angular Momentum $g 419 -- $g 11.5 $t Principal Axes of Inertia $g 424 -- $g 11.6 $t Moments of Inertia for Different Body Coordinate Systems $g 428 -- $g 11.7 $t Further Properties of the Inertia Tensor $g 433 -- $g 11.8 $t Eulerian Angles $g 440 -- $g 11.9 $t Euler's Equations for a Rigid Body $g 444 -- $g 11.10 $t Force-Free Motion of a Symmetric Top $g 448 -- $g 11.11 $t Motion of a Symmetric Top with One Point Fixed $g 454 -- $g 11.12 $t Stability of Rigid-Body Rotations $g 460 -- $g 12 $t Coupled Oscillations $g 468 -- $g 12.2 $t Two Coupled Harmonic Oscillators $g 469 -- $g 12.3 $t Weak Coupling $g 473 -- $g 12.4 $t General Problem of Coupled Oscillations $g 475 -- $g 12.5 $t Orthogonality of the Eigenvectors (Optional) $g 481 -- $g 12.6 $t Normal Coordinates $g 483 -- $g 12.7 $t Molecular Vibrations $g 490 -- $g 12.8 $t Three Linearly Coupled Plane Pendula -- an Example of Degeneracy $g 495 -- $g 12.9 $t The Loaded String $g 498 -- $g 13 $t Continuous Systems; Waves $g 512 -- $g 13.2 $t Continuous String as a Limiting Case of the Loaded String $g 513 -- $g 13.3 $t Energy of a Vibrating String $g 516 -- $g 13.4 $t Wave Equation $g 520 -- $g 13.5 $t Forced and Damped Motion $g 522 -- $g 13.6 $t General Solutions of the Wave Equation $g 524 -- $g 13.7 $t Separation of the Wave Equation $g 527 -- $g 13.8 $t Phase Velocity, Dispersion, and Attenuation $g 533 -- $g 13.9 $t Group Velocity and Wave Packets $g 538 -- $g 14 $t Special Theory of Relativity $g 546 -- $g 14.2 $t Galilean Invariance $g 547 -- $g 14.3 $t Lorentz Transformation $g 548 -- $g 14.4 $t Experimental Verification of the Special Theory $g 555 -- $g 14.5 $t Relativistic Doppler Effect $g 558 -- $g 14.6 $t Twin Paradox $g 561 -- $g 14.7 $t Relativistic Momentum $g 562 -- $g 14.8 $t Energy $g 566 -- $g 14.9 $t Spacetime and Four-Vectors $g 569 -- $g 14.10 $t Lagrangian Function in Special Relativity $g 578 -- $g 14.11 $t Relativistic Kinematics $g 579 -- $t A Taylor's Theorem $g 589 -- $g B.1 $t Elliptic Integrals of the First Kind $g 594 -- $g B.2 $t Elliptic Integrals of the Second Kind $g 595 -- $g B.3 $t Elliptic Integrals of the Third Kind $g 595 -- $g C $t Ordinary Differential Equations of Second Order $g 599 -- $g C.1 $t Linear Homogeneous Equations $g 599 -- $g C.2 $t Linear Inhomogeneous Equations $g 603 -- $g D.1 $t Binomial Expansion $g 608 -- $g D.2 $t Trigonometric Relations $g 609 -- $g D.3 $t Trigonometric Series $g 610 -- $g D.4 $t Exponential and Logarithmic Series $g 610 -- $g D.5 $t Complex Quantities $g 611 -- $g D.6 $t Hyperbolic Functions $g 611 -- $g E.1 $t Algebraic Functions $g 613 -- $g E.2 $t Trigonometric Functions $g 614 -- $g E.3 $t Gamma Functions $g 615 -- $g F $t Differential Relations in Different Coordinate Systems $g 617 -- $g F.1 $t Rectangular Coordinates $g 617 -- $g F.2 $t Cylindrical Coordinates $g 617 -- $g F.3 $t Spherical Coordinates $g 619.
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650 6 $a Dynamique. $3 283557
650 7 $a kinetics (dynamics) $2 aat $3 916304
650 7 $a Dynamik $2 gnd $3 916305
650 7 $a Theoretische Mechanik $2 gnd $3 916306
700 1 $a Marion, Jerry B. $3 916303
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