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The present book explains special relativity and the basics of general relativity from a geometric viewpoint. Spacetime geometry is emphasized throughout, and provides the basis of understanding of the special relativity effects of time dilation, length contraction, and the relativity of simultaneity. Bondi's Kcalculus is introduced as a simple means of calculating the magnitudes of these effects, and leads to a derivation of the Lorentz transformation as a way of unifying these results. The invariant interval of flat spacetime is generalised to that of curved spacetimes, and leads to an understanding of the basic properties of simple cosmological models and of the collapse of a star to form a black hole. The appendices enable the advanced student to master the application of fourtensors to the relativistic study of energy and momentum, and of electromagnetism. In addition, this new edition contains uptodate information on black holes, gravitational collapse, and cosmology.
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