Introduction to Various Aspects of Degree Theory in Banach Spaces

Function-analytic preliminaries The Leray-Schauder degree for differentiable maps The Leray-Schauder degree for not necessarily differentiable maps The Poincare--Bohl theorem and some of its applications The product theorem and some of its consequences The finite-dimensional case On spheres Some extension and homotopy theorems The Borsuk theorem and some of its consequences The linear homotopy theorem Proof of the Sard-Smale theorem