- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
Full Description
Bridging lower-division physics survey courses with upper-division physics courses, Oscillations and Waves: An Introduction develops a unified mathematical theory of oscillations and waves in physical systems. Emphasizing physics over mathematics, the author includes many examples from discrete mechanical, optical, and quantum mechanical systems; continuous gases, fluids, and elastic solids; electronic circuits; and electromagnetic waves.Assuming familiarity with the laws of physics and college-level mathematics, the book focuses on oscillations and waves whose governing differential equations are linear. The author covers aspects of optics that crucially depend on the wave-like nature of light, such as wave optics. He also introduces the conventional complex representation of oscillations and waves later in the text during the discussion of quantum mechanical waves. This helps students thoroughly understand how to represent oscillations and waves in terms of regular trigonometric functions before using the more convenient, but much more abstract, complex representation.Based on the author's longstanding course at the University of Texas at Austin, this classroom-tested text helps students acquire a sound physical understanding of wave phenomena. It eases students' difficult transition between lower-division courses that mostly encompass algebraic equations and upper-division courses that rely on differential equations.
Contents
Simple Harmonic Oscillation Massona Spring Simple Harmonic Oscillator Equation LC Circuits Simple Pendula Compound PendulaDamped and Driven Harmonic Oscillation Damped Harmonic Oscillation Quality Factor LCR Circuits Driven Damped Harmonic Oscillation Driven LCR Circuits Transient Oscillator ResponseCoupled Oscillations Two Spring-Coupled Masses Two Coupled LC Circuits Three Spring-Coupled Masses Transverse Standing Waves Normal Modes of a Beaded String Normal Modes of a Uniform String General Time Evolution of a Uniform String Longitudinal Standing Waves Spring-Coupled Masses Longitudinal Waves on a Thin Elastic Rod Sound Waves in an Ideal Gas Fourier AnalysisTraveling Waves Standing Waves in a Finite Continuous Medium Traveling Waves in an Infinite Continuous Medium Wave Interference Energy Conservation Transmission Lines Normal Reflection and Transmission at Interfaces Electromagnetic Waves Doppler Effect Wave Propagation in Inhomogeneous MediaMulti-Dimensional Waves Plane Waves Three-Dimensional Wave Equation Cylindrical Waves Spherical Waves Oscillation of an Elastic Sheet Polarization of Electromagnetic Waves Laws of Geometric Optics Fresnel Relations Total Internal Reflection Sound Waves in Fluids Wave Pulses Fourier Transforms General Solution of One-Dimensional Wave Equation Bandwidth Dispersive Waves Pulse Propagation Electromagnetic Waves in Unmagnetized Plasmas Faraday Rotation Electromagnetic Wave Propagation in Conductors Waveguides Pulse Propagation in Two Dimensions Gravity Waves Wave Dragon Ships Ship Wakes Capillary WavesWave Optics Introduction Two-Slit Interference Coherence Multi-Slit Interference Thin Film Interference One-Dimensional Fourier Optics Single-Slit Diffraction Multi-Slit Diffraction Two-Dimensional Fourier Optics Wave Mechanics Introduction Photoelectric Effect Electron Diffraction Representation of Waves via Complex Numbers Schroedinger's Equation Probability Interpretation of Wavefunction Wave Packets Heisenberg's Uncertainty Principle Wavefunction Collapse Stationary States Three-Dimensional Wave Mechanics Particle in Finite Square Potential Well Square Potential BarrierAppendix A: Physical Constants Appendix B: Useful Mathematics Appendix C: Electromagnetic Theory Bibliography IndexExercises appear at the end of each chapter.
