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These selected papers of S.S. Chern discuss topics such as integral geometry in Klein spaces, a theorem on orientable surfaces in four-dimensional space, and transgression in associated bundles Ch. 1. Introduction -- Ch. 2. Operator Equations and Their Approximate Solutions (I): Compact Linear Operators -- Ch. 3. Operator Equations and Their Approximate Solutions (II): Other Linear Operators -- Ch. 4. Topological Degrees and Fixed Point Equations -- Ch. 5. Nonlinear Monotone Operator Equations and Their Approximate Solutions -- Ch. 6. Operator Evolution Equations and Their Projective Approximate Solutions -- App. A. Fundamental Functional Analysis -- App. B. Introduction to Sobolev Spaces
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