The book employs oscillatory dynamical systems to represent the Universe mathematically via
constructing classical and quantum theory of damped oscillators. It further discusses isotropic
and homogeneous metrics in the Friedman-Robertson-Walker Universe and shows their equivalence
to non-stationary oscillators. The wide class of exactly solvable damped oscillator models with
variable parameters is associated with classical special functions of mathematical physics.
Combining principles with observations in an easy to follow way it inspires further thinking
for mathematicians and physicists. ContentsPart I: Dissipative geometry and general relativity
theoryPseudo-Riemannian geometry and general relativityDynamics of universe modelsAnisotropic
and homogeneous universe modelsMetric waves in a nonstationary universe and dissipative
oscillatorBosonic and fermionic models of a Friedman-Robertson-Walker universeTime dependent
constants in an oscillatory universe Part II: Variational principle for time dependent
oscillations and dissipationsLagrangian and Hamilton descriptionsDamped oscillator: classical
and quantum theorySturm-Liouville problem as a damped oscillator with time dependent damping
and frequencyRiccati representation of time dependent damped oscillatorsQuantization of the
harmonic oscillator with time dependent parameters
