## A Student's Guide to WavesWaves are an important topic in the fields of mechanics, electromagnetism, and quantum theory, but many students struggle with the mathematical aspects. Written to complement course textbooks, this book focuses on the topics that students find most difficult. Retaining the highly popular approach used in Fleisch's other Student's Guides, the book uses plain language to explain fundamental ideas in a simple and clear way. Exercises and fully-worked examples help readers test their understanding of the concepts, making this an ideal book for undergraduates in physics and engineering trying to get to grips with this challenging subject. The book is supported by a suite of online resources available at www.cambridge.org/9781107643260. These include interactive solutions for every exercise and problem in the text and a series of video podcasts in which the authors explain the important concepts of every section of the book. |

### Contents

The wave equation | 44 |

Wave components | 75 |

The mechanical wave equation | 124 |

The electromagnetic wave equation | 162 |

The quantum wave equation | 185 |

214 | |

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### Common terms and phrases

amplitude angle angular frequency boundary conditions Chapter classical wave equation coefficients complex number consider cos(kx cosine function cosine wave cycle dashpot differential equation direction distance e-iq electric and magnetic electric field electromagnetic waves example Figure frequency components function being tested graph group velocity horizontal imaginary impedance integral interface linear magnetic field magnitude Maxwell’s equations means mechanical waves medium meters momentum multiply number line oscillating partial derivatives particle phase constant phase speed phasor plane wave plot portion positive x-direction potential energy produced pulse represents result right end rotating Schrödinger equation second-order Section segment shown in Fig sin(kx sine and cosine sine wave solutions space spatial spectrum square wave string term there’s transverse velocity transverse waves triangle wave understand units variables vector vertical wave moving wave packet wave–particle duality waveform wavefunction wavelength wavenumber x-axis y-component ytotal zero