Earth Systems Protection and Sustainability qualifies imperatives and discusses the use of mathematical approaches to assess and achieve sustainability in threatened and vulnerable Earth systems globally. Mathematical advances in this context include both operational and Boolean methods, as well as linguistic, logic-based Bayesian approaches and generative mathematics relevant to scenario formation. The mathematic methods are refined into functional areas and deeper learning, which enable the use of searching algorithms to achieve optimal solutions for the circular nature and application of sustainability. Pertinent sections and synergistic elements are covered in order to synthesize key informative nodes, advising of the very real dangers facing planet Earth and its biodiversity. Each volume stands in its own right. Analytical and scientific chapters are blended with social resilience and socio-economic development consideration, thus enabling the settings of sustainability within varying scenarios of climatic forces and species dynamics.