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Lectures on General Relativity by Frederic Schuller (Gravity and Light 2015)

by Frederic Schuller · International Winter School on Gravity and Light

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.

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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.

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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.

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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.

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Learn tensor calculus and general relativity with eigenchris! This course covers the math & physics for Einstein's theory of gravity.

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General Relativity

Learn Einstein's General Relativity from Leonard Susskind's famous lectures. Explore gravity, spacetime, and cosmology in this free course!

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Spacetime and Geometry: An Introduction to General Relativity

Graduate textbook on general relativity by physicist Sean Carroll, covering special relativity, manifolds and tensors, curvature, Einstein's equations, the Schwarzschild solution and black holes, perturbation theory and gravitational waves, and cosmology. Readers learn to do calculations in curved spacetime.

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