Oscillations and Waves

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Opis: Oscillations and Waves - Richard Fitzpatrick

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. Oscillations and waves are ubiquitous in many physical situations. Universities now realise that instead of discussing these phenomena in different branches of physics, it is much more productive to have a core physics undergraduate course which encapsulates the reach physical phenomena such as advection, dispersion, diffraction, as well as non-linearity (solitons, shocks and chaos) in a single, generic course that encompasses the relevant elements of fluid dynamics, mechanics, optics, plasmas and quantum mechanics. There are surprisingly few good and more importantly recent, up-to-date textbooks available on the subject of Oscillations and Waves. Richard Fitzpatrick's Oscillations and Waves: An Introduction is an excellent addition to the existing literature on the subject. The book provides a clear, systematic, comprehensive and yet concise treatment of the subject. The emphasis is placed on physical interpretation rather than mathematical rigour, although the author certainly presents the material at the right mathematical level, commensurate with an advanced undergraduate course. The book will be equally useful for physics and engineering students, as well as mathematics students who want to get physical insight beyond the mathematical equations. The book benefits from very useful exercises which are accompanied by a solutions manual. As a physics educator, I would recommend this book without a reservation to both lecturers as excellent teaching material and to students as a learning resource which will guide them through the exciting world of waves, oscillations and patterns that are all around us. -David Tsiklauri, Senior Lecturer in Astronomy, School of Physics and Astronomy, Queen Mary University of London, UKSimple Harmonic Oscillation Massona Spring Simple Harmonic Oscillator Equation LC Circuits Simple Pendula Compound Pendula Damped and Driven Harmonic Oscillation Damped Harmonic Oscillation Quality Factor LCR Circuits Driven Damped Harmonic Oscillation Driven LCR Circuits Transient Oscillator Response Coupled 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 Analysis Traveling 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 Media Multi-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 Waves Wave 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 Schrodinger'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 Barrier Appendix A: Physical Constants Appendix B: Useful Mathematics Appendix C: Electromagnetic Theory Bibliography Index Exercises appear at the end of each chapter.


Szczegóły: Oscillations and Waves - Richard Fitzpatrick

Tytuł: Oscillations and Waves
Autor: Richard Fitzpatrick
Producent: CRC Press Inc.
ISBN: 9781466566088
Rok produkcji: 2013
Ilość stron: 295
Oprawa: Miękka
Waga: 0.43 kg


Recenzje: Oscillations and Waves - Richard Fitzpatrick

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Inne pozycje tego autora: Richard Fitzpatrick (1)

Oscillations and Waves

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. Oscillations and waves are ubiquitous in many physical situations. Universities now realise that instead of discussing these phenomena in different branches of physics, it is much more productive to have a core physics undergraduate course which encapsulates the reach physical phenomena such as advection, dispersion, diffraction, as well as non-linearity (solitons, shocks and chaos) in a single, generic course that encompasses the relevant elements of fluid dynamics, mechanics, optics, plasmas and quantum mechanics. There are surprisingly few good and more importantly recent, up-to-date textbooks available on the subject of Oscillations and Waves. Richard Fitzpatrick's Oscillations and Waves: An Introduction is an excellent addition to the existing literature on the subject. The book provides a clear, systematic, comprehensive and yet concise treatment of the subject. The emphasis is placed on physical interpretation rather than mathematical rigour, although the author certainly presents the material at the right mathematical level, commensurate with an advanced undergraduate course. The book will be equally useful for physics and engineering students, as well as mathematics students who want to get physical insight beyond the mathematical equations. The book benefits from very useful exercises which are accompanied by a solutions manual. As a physics educator, I would recommend this book without a reservation to both lecturers as excellent teaching material and to students as a learning resource which will guide them through the exciting world of waves, oscillations and patterns that are all around us. -David Tsiklauri, Senior Lecturer in Astronomy, School of Physics and Astronomy, Queen Mary University of London, UKSimple Harmonic Oscillation Massona Spring Simple Harmonic Oscillator Equation LC Circuits Simple Pendula Compound Pendula Damped and Driven Harmonic Oscillation Damped Harmonic Oscillation Quality Factor LCR Circuits Driven Damped Harmonic Oscillation Driven LCR Circuits Transient Oscillator Response Coupled 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 Analysis Traveling 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 Media Multi-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 Waves Wave 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 Schrodinger'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 Barrier Appendix A: Physical Constants Appendix B: Useful Mathematics Appendix C: Electromagnetic Theory Bibliography Index Exercises appear at the end of each chapter.

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Cena 195,30 PLN
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Szczegóły: Oscillations and Waves - Richard Fitzpatrick

Tytuł: Oscillations and Waves
Autor: Richard Fitzpatrick
Producent: CRC Press Inc.
ISBN: 9781466566088
Rok produkcji: 2013
Ilość stron: 295
Oprawa: Miękka
Waga: 0.43 kg


Recenzje: Oscillations and Waves - Richard Fitzpatrick

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