Covers the general oscillation period equation, initial conditions, integration, elliptic integrals, Legendre polynomials, work, kinetic energy, and power.
Explores constraints, power, work, and kinetic energy, including oscillation periods, elliptic integrals, Legendre polynomials, and their applications.
Explores the spectral properties of unbounded and bounded systems using Fourier methods and emphasizes the importance of choosing the correct representation for different boundary conditions.
Covers the concept of analytic continuation and the uniqueness of holomorphic functions, including the extension of holomorphic functions and the properties of entire and meromorphic functions.