Tensor Calculus and General Relativity
eigenchris
Learn tensor calculus and general relativity with eigenchris! This course covers the math & physics for Einstein's theory of gravity.
More resources on General Relativity
Wolfram MathWorld
MathWorld is an online mathematics encyclopedia from Wolfram Research offering detailed, browsable articles on topics across the math spectrum, including algebra, geometry, calculus, and number theory. Each entry includes definitions, theorems, formulas, diagrams, worked examples, and links to further reading.
General Relativity (MIT 8.962)
Graduate general relativity: differential geometry and tensors, Einstein's field equations, experimental tests, black holes, gravitational waves and cosmology. 23 full lecture videos, prose lecture notes and problem sets give learners the working tools used in Carroll-level study.
Lectures on General Relativity by Frederic Schuller (Gravity and Light 2015)
Frederic Schuller's lectures and tutorials from the 2015 International Winter School on Gravity and Light, building general relativity from topology, manifolds, tangent spaces, connections, curvature and integration on manifolds. Afterwards learners can follow the geometric formulation of spacetime and gravity with mathematical rigour.
PSI 2011/12: Quantum Theory
Fifteen recorded lectures from the Quantum Theory core course of the 2011/12 Perimeter Scholars International master's programme, given by Adrian Kent with Lucien Hardy and Rafael Sorkin. Suited to viewers wanting a graduate-level second pass through quantum theory after an undergraduate course.
Sean Carroll's GR Book Page
Chapter three of Sean Carroll's widely used lecture notes, hosted by NASA/IPAC's Level 5 archive. Covers covariant derivatives, Christoffel symbols, parallel transport, geodesics, the Riemann tensor, and geodesic deviation as the geometric basis of gravity.
Lectures on General Relativity
Learn general relativity from world-renowned physicist Frederic Schuller. Explore Einstein's theory of gravity in this comprehensive video course.