Mathematical Methods for Oscillations and Waves

ISBN-13: 9781108488228 / Angielski / Twarda / 2020 / 272 str.

Joel Franklin

Opis

Anchored in simple physics problems, the author provides a focused introduction to mathematical methods in a structured manner.

Recenzje

'In this book Franklin (Reed College) presents a lively, efficient introduction to the mathematical methods of the harmonic oscillator and wave equations. The study of the mathematical methods is motivated by diverse but related physical problems. The level of this presentation is suitable for sophomore college-level students of physics and mathematics … Over 80 graphs support the narrative and enhance its accessibility. The approximately 300 exercises are interesting, frequently challenging, and serve to reinforce the discussion.' D. P. Turner, Choice

Spis treści

Preface; 1. Harmonic oscillator; 2. Damped harmonic oscillator; 3. Coupled oscillators; 4. The wave equation; 5. Integration; 6. Waves in three dimensions; 7. Other wave equations; 8. Numerical methods; Appendix A. Solving ODE's: a roadmap; Appendix B. Vector calculus: curvilinear coordinates; References; Index.