Explore a comprehensive conference talk that surveys the origins of climate physics and modeling, demonstrating how climate models are utilized to analyze recent warming causes and predict climate changes under various greenhouse gas emission scenarios. Delivered at the Centre International de Rencontres Mathématiques during the "Climathics" thematic meeting, learn about the fundamental principles of climate science and its mathematical modeling applications. Access additional features through CIRM's Audiovisual Mathematics Library, including chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification, enabling targeted viewing of specific segments and enhanced learning through supplementary materials.