Geologic History of the Earth’s Climate offers an exhaustive examination of Earth's climate oscillations across the Paleozoic, Mesozoic, and Cenozoic eras. Through advanced mathematical modeling techniques and spectral analysis, it dissects the statistical attributes of meteorological phenomena across geological time boundaries from the Anthropocene to the Quaternary epoch. Central to the book's theory is the Pareto-lognormal distribution, a heavy-tailed frequency distribution that sheds light on the profound impact of greenhouse gas concentrations on an evolving Earth and the impact of these changes on our planet’s dynamics. Geologic History of the Earth’s Climate serves as an indispensable resource for scientists and researcher, providing mathematical approaches to unraveling the intricacies of Earth's climatic past, geological history, dynamics.