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외국도서
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대학교재/전문서적
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자연과학 일반
Classical Dynamics of Particles & Systems
2013년 9월 9일 이후 누적수치입니다.
- 저 : Marion
- 출판사 : Thomson Learning
- 발행 : 2009년 05월 19일
- 쪽수 : 0
- ISBN : 9780534408961
| 정가 |
38,000원 |
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38,000원
1,140P (3%적립)
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이벤트/기획전
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연관도서(1)
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상품권
목차
| Matrices, Vectors, and Vector Calculus | p. 1 |
| Introduction | p. 1 |
| Concept of a Scalar | p. 2 |
| Coordinate Transformations | p. 3 |
| Properties of Rotation Matrices | p. 6 |
| Matrix Operations | p. 9 |
| Further Definitions | p. 12 |
| Geometrical Significance of Transformation Matrices | p. 14 |
| Definitions of a Scalar and a Vector in Terms of Transformation Properties | p. 20 |
| Elementary Scalar and Vector Operations | p. 20 |
| Scalar Product of Two Vectors | p. 21 |
| Unit Vectors | p. 23 |
| Vector Product of Two Vectors | p. 25 |
| Differentiation of a Vector with Respect to a Scalar | p. 29 |
| Examples of Derivatives--Velocity and Acceleration | p. 30 |
| Angular Velocity | p. 34 |
| Gradient Operator | p. 37 |
| Integration of Vectors | p. 40 |
| Problems | p. 43 |
| Newtonian Mechanics--Single Particle | p. 48 |
| Introduction | p. 48 |
| Newton's Laws | p. 49 |
| Frames of Reference | p. 53 |
| The Equation of Motion for a Particle | p. 55 |
| Conservation Theorems | p. 76 |
| Energy | p. 82 |
| Limitations of Newtonian Mechanics | p. 88 |
| Problems | p. 90 |
| Oscillations | p. 99 |
| Introduction | p. 99 |
| Simple Harmonic Oscillator | p. 100 |
| Harmonic Oscillations in Two Dimensions | p. 104 |
| Phase Diagrams | p. 106 |
| Damped Oscillations | p. 108 |
| Sinusoidal Driving Forces | p. 117 |
| Physical Systems | p. 123 |
| Principle of Superposition--Fourier Series | p. 126 |
| The Response of Linear Oscillators to Impulsive Forcing Functions (Optional) | p. 129 |
| Problems | p. 138 |
| Nonlinear Oscillations and Chaos | p. 144 |
| Introduction | p. 144 |
| Nonlinear Oscillations | p. 146 |
| Phase Diagrams for Nonlinear Systems | p. 150 |
| Plane Pendulum | p. 155 |
| Jumps, Hysteresis, and Phase Lags | p. 160 |
| Chaos in a Pendulum | p. 163 |
| Mapping | p. 169 |
| Chaos Identification | p. 174 |
| Problems | p. 178 |
| Gravitation | p. 182 |
| Introduction | p. 182 |
| Gravitational Potential | p. 184 |
| Lines of Force and Equipotential Surfaces | p. 194 |
| When Is the Potential Concept Useful? | p. 195 |
| Ocean Tides | p. 198 |
| Problems | p. 204 |
| Some Methods in the Calculus of Variations | p. 207 |
| Introduction | p. 207 |
| Statement of the Problem | p. 207 |
| Euler's Equation | p. 210 |
| The "Second Form" of the Euler Equation | p. 216 |
| Functions with Several Dependent Variables | p. 218 |
| Euler Equations When Auxiliary Conditions Are Imposed | p. 219 |
| The [delta] Notation | p. 224 |
| Problems | p. 226 |
| Hamilton's Principle--Lagrangian and Hamiltonian Dynamics | p. 228 |
| Introduction | p. 228 |
| Hamilton's Principle | p. 229 |
| Generalized Coordinates | p. 233 |
| Lagrange's Equations of Motion in Generalized Coordinates | p. 237 |
| Lagrange's Equations with Undetermined Multipliers | p. 248 |
| Equivalence of Lagrange's and Newton's Equations | p. 254 |
| Essence of Lagrangian Dynamics | p. 257 |
| A Theorem Concerning the Kinetic Energy | p. 258 |
| Conservation Theorems Revisited | p. 260 |
| Canonical Equations of Motion--Hamiltonian Dynamics | p. 265 |
| Some Comments Regarding Dynamical Variables and Variational Calculations in Physics | p. 272 |
| Phase Space and Liouville's Theorem (Optional) | p. 274 |
| Virial Theorem (Optional) | p. 277 |
| Problems | p. 280 |
| Central-Force Motion | p. 287 |
| Introduction | p. 287 |
| Reduced Mass | p. 287 |
| Conservation Theorems--First Integrals of the Motion | p. 289 |
| Equations of Motion | p. 291 |
| Orbits in a Central Field | p. 295 |
| Centrifugal Energy and the Effective Potential | p. 296 |
| Planetary Motion--Kepler's Problem | p. 300 |
| Orbital Dynamics | p. 305 |
| Apsidal Angles and Precession (Optional) | p. 312 |
| Stability of Circular Orbits (Optional) | p. 316 |
| Problems | p. 323 |
| Dynamics of a System of Particles | p. 328 |
| Introduction | p. 328 |
| Center of Mass | p. 329 |
| Linear Momentum of the System | p. 331 |
| Angular Momentum of the System | p. 336 |
| Energy of the System | p. 339 |
| Elastic Collisions of Two Particles | p. 345 |
| Kinematics of Elastic Collisions | p. 352 |
| Inelastic Collisions | p. 358 |
| Scattering Cross Sections | p. 363 |
| Rutherford Scattering Formula | p. 369 |
| Rocket Motion | p. 371 |
| Problems | p. 378 |
| Motion in a Nonintertial Reference Frame | p. 387 |
| Introduction | p. 387 |
| Rotating Coordinate Systems | p. 388 |
| Centrifugal and Coriolis Forces | p. 391 |
| Motion Relative to the Earth | p. 395 |
| Problems | p. 408 |
| Dynamics of Rigid Bodies | p. 411 |
| Introduction | p. 411 |
| Simple Planar Motion | p. 412 |
| Inertia Tensor | p. 415 |
| Angular Momentum | p. 419 |
| Principal Axes of Inertia | p. 424 |
| Moments of Inertia for Different Body Coordinate Systems | p. 428 |
| Further Properties of the Inertia Tensor | p. 433 |
| Eulerian Angles | p. 440 |
| Euler's Equations for a Rigid Body | p. 444 |
| Force-Free Motion of a Symmetric Top | p. 448 |
| Motion of a Symmetric Top with One Point Fixed | p. 454 |
| Stability of Rigid-Body Rotations | p. 460 |
| Problems | p. 463 |
| Coupled Oscillations | p. 468 |
| Introduction | p. 468 |
| Two Coupled Harmonic Oscillators | p. 469 |
| Weak Coupling | p. 473 |
| General Problem of Coupled Oscillations | p. 475 |
| Orthogonality of the Eigenvectors (Optional) | p. 481 |
| Normal Coordinates | p. 483 |
| Molecular Vibrations | p. 490 |
| Three Linearly Coupled Plane Pendula--an Example of Degeneracy | p. 495 |
| The Loaded String | p. 498 |
| Problems | p. 507 |
| Continuous Systems; Waves | p. 512 |
| Introduction | p. 512 |
| Continuous String as a Limiting Case of the Loaded String | p. 513 |
| Energy of a Vibrating String | p. 516 |
| Wave Equation | p. 520 |
| Forced and Damped Motion | p. 522 |
| General Solutions of the Wave Equation | p. 524 |
| Separation of the Wave Equation | p. 527 |
| Phase Velocity, Dispersion, and Attenuation | p. 533 |
| Group Velocity and Wave Packets | p. 538 |
| Problems | p. 542 |
| Special Theory of Relativity | p. 546 |
| Introduction | p. 546 |
| Galilean Invariance | p. 547 |
| Lorentz Transformation | p. 548 |
| Experimental Verification of the Special Theory | p. 555 |
| Relativistic Doppler Effect | p. 558 |
| Twin Paradox | p. 561 |
| Relativistic Momentum | p. 562 |
| Energy | p. 566 |
| Spacetime and Four-Vectors | p. 569 |
| Lagrangian Function in Special Relativity | p. 578 |
| Relativistic Kinematics | p. 579 |
| Problems | p. 583 |
| Appendices | |
| Taylor's Theorem | p. 589 |
| Problems | p. 593 |
| Elliptic Integrals | p. 594 |
| Elliptic Integrals of the First Kind | p. 594 |
| Elliptic Integrals of the Second Kind | p. 595 |
| Elliptic Integrals of the Third Kind | p. 595 |
| Problems | p. 598 |
| Ordinary Differential Equations of Second Order | p. 599 |
| Linear Homogeneous Equations | p. 599 |
| Linear Inhomogeneous Equations | p. 603 |
| Problems | p. 606 |
| Useful Formulas | p. 608 |
| Binomial Expansion | p. 608 |
| Trigonometric Relations | p. 609 |
| Trigonometric Series | p. 610 |
| Exponential and Logarithmic Series | p. 610 |
| Complex Quantities | p. 611 |
| Hyperbolic Functions | p. 611 |
| Problems | p. 612 |
| Useful Integrals | p. 613 |
| Algebraic Functions | p. 613 |
| Trigonometric Functions | p. 614 |
| Gamma Functions | p. 615 |
| Differential Relations in Different Coordinate Systems | p. 617 |
| Rectangular Coordinates | p. 617 |
| Cylindrical Coordinates | p. 617 |
| Spherical Coordinates | p. 619 |
| A "Proof" of the Relation [characters not reproducible] = [characters not reproducible] | p. 621 |
| Numerical Solution for Example 2.7 | p. 623 |
| Selected References | p. 626 |
| Bibliography | p. 628 |
| Answers to Even-Numbered Problems | p. 633 |
| Index | p. 643 |
| Table of Contents provided by Ingram. All Rights Reserved. |
책소개
1. Matrices, Vectors, and Vector Calculus. 2. Newtonian Mechanics--Single Particle. 3. Oscillations. 4. Nonlinear Oscillations and Chaos. 5. Gravitation. 6. Some Methods in the Calculus of Variations. 7. Hamilton's Principle--Lagrangian and Hamiltonian Dynamics. 8. Central-Force Motion. 9. Dynamics of a System of Particles. 10. Motion in a Noninertial Reference Frame. 11. Dynamics of Rigid Bodies. 12. Coupled Oscillations. 13. Continuous Systems: Waves. 14. The Special Theory of Relativity. Appendices. Selected References. Bibliography. Answers to Even-Numbered Problems.
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