Differential Geometry & Integral Geometry

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.