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and other mathematical thinkers

who surrender their hopes for earthly fulfillment in exchange for dreams of paradise

In the second half

and numerous problems and references appear at the end of each chapter as well

manuscript

Curvature in Mathematics and Physics and other mathematical thinkersThis original text for courses in differential geometry is geared toward advanced undergraduate and graduate majors in math and physics. Based on an advanced class taught by a world renowned mathematician for more than fifty years, the treatment introduces semi Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Starting with an introduction to the

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