Comments:

PDF, DVI and PS files, over 10 Mb of free online downloads, 2000

Abstract:

Lecture notes on Differential Geometry and Relativity (both GR and SR): Chapter 1: Introduction. PDF. PS. DVI. Section 1-1: Curves. PDF. PS. DVI. Section 1-2: Gauss Curvature. PDF. PS. DVI. Section 1-3: Surfaces in E3. PDF. PS. DVI. Section 1-4: First Fundamental Form. PDF. PS. DVI. Section 1-5: Second Fundamental Form. PDF. PS. DVI. Section 1-6: The Gauss Curvature in Detail. PDF. PS. DVI. Section 1-7: Geodesics. PDF. PS. DVI. Section 1-8: The Curvature Tensor and the Theorema Egregium. PDF. PS. DVI. Section 1-9: Manifolds. PDF. PS. DVI. Chapter 2: Special Relativity: The Geometry of Flat Spacetime. PDF. PS. DVI. Section 2-1: Inertial Frames of Reference. PDF. PS. DVI. Section 2-2: The Michelson Morley Experiment. PDF. PS. DVI. Section 2-3: The Postulates of Relativity. PDF. PS. DVI. Section 2-4: Relativity of Simltaneity. PDF. PS. DVI. Section 2-5: Coordinates. PDF. PS. DVI. Section 2-6: Invariance of the Interval. PDF. PS. DVI. Section 2-7: The Lorentz Transformation. PDF. PS. DVI. Section 2-8: Spacetime Diagrams. PDF. PS. DVI. Section 2-9: Lorentz Geometry. PDF. PS. DVI. Section 2-10: The Twin Paradox. PDF. PS. DVI. Section 2-11: Temporal order and Causality. PDF. PS. DVI. Chapter 3: General Relativity: The Geometry of Curved Spacetime. PDF. PS. DVI. Section 3-1: The Principle of Equivalence. PDF. PS. DVI. Section 3-2: Gravity as Spacetime Curvature. PDF. PS. DVI. Section 3-3: The Consequences of Einstein's Theory. PDF. PS. DVI. Section 3-6: Geodesics. PDF. PS. DVI. Section 3-7: The Field Equations. PDF. PS. DVI. Section 3-8: The Schwarzschild Solution. PDF. PS. DVI. Section 3-9: Orbits in General Relativity. PDF. PS. DVI. Section 3-10: The Bending of Light. PDF. PS. DVI. Black Holes. PDF. PS. DVI.

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Open access and free downloads at: http://www.etsu.edu/math/gardner/5310/notes.htm http://www.etsu.edu/math/gardner/5310/5310pdf/dg1-0.pdf

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Difgeogr.pdf

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