This volume presents two sets of never-before-published notes from lectures given by S.-S. Chern. The set entitled Differential Manifolds" gives a smooth and rapid introduction to differential manifolds and differential geometry, while the set entitled Lectures on Integral Geometry is an accessible introduction to that subject. Also presented is a paper by Chern that serves as a gentle introduction to differential geometry, and reviews the status of global differential geometry in 1971.
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A trailblazer's careful account of his work and discoveries...this is a fantastic addition to the mathematical literature." - Michael Berg, Professor of Mathematics at Loyola Marymount University
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