The textbook by J.B.K. Das provides a comprehensive breakdown of vibration theory, including:

The book is structured to lead students from basic oscillatory physics to complex multi-degree-of-freedom analysis. Definitions of periodic motion, cycle, and amplitude. Simple Harmonic Motion (SHM) and vector representation. Fourier Series and harmonic analysis for complex waveforms. Chapter 2 & 3: Single-Degree-of-Freedom (SDOF)