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Anchored in simple physics problems, the author provides a focused introduction to mathematical methods in a structured manner.
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.
Joel Franklin is a professor in the Physics Department of Reed College, Oregon. His research focuses on mathematical and computational methods with applications to classical mechanics, quantum mechanics, electrodynamics, general relativity and modifications to general relativity He is also the author of Advanced Mechanics and General Relativity (Cambridge, 2010), Computational Methods for Physics (Cambridge, 2013), and Classical Field Theory (Cambridge, 2017).