mathworld.wolfram.com
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Wolfram MathWorld is a comprehensive online math encyclopedia with in-depth articles, definitions, formulas, and diagrams across a wide range of topics, including curvature. It offers detailed entries on geometric concepts such as curvature of curves and surfaces, Gaussian and mean curvature, plus proofs, examples, and extensive cross-references.
More resources on Curvature
nLab: Curvature
Advanced reference on curvature in higher category theory context
Differential Geometry
Learn differential geometry with Trefor Bazett! This course explores curvature and other fundamental concepts.
Lectures on the Geometric Anatomy of Theoretical Physics
Learn curvature and geometric anatomy with Frederic Schuller's theoretical physics course! Explore key concepts in this comprehensive video lecture series.
ocw.mit.edu
MIT OpenCourseWare provides free, openly licensed course materials from MIT across dozens of subjects, including lecture notes, assignments, exams, and video lectures, for self-paced learning.
nptel.ac.in
NPTEL is India's online learning portal offering courses from IITs and IISc across engineering, science, and mathematics. It provides video lectures, downloadable course materials, assignments, quizzes, and certificates for enrolled courses, including topics such as curvature.