Explore the mathematical description of surface curvature in this 16-minute video from Mathemaniac. Delve into the concepts of Gaussian and mean curvatures, essential components of differential geometry. Gain a deeper understanding of the shape operator and its role in describing curvature. Learn how these mathematical tools are applied to the study of surfaces, higher-dimensional manifolds, and curves. Discover the connection between these concepts and minimal surfaces, setting the stage for future discussions on the topic. Access additional resources, including downloadable files and recommended readings, to further enhance your understanding of this fascinating area of mathematics.