Basics of Nonlinear Optimization

Marek Galewski has been a professor of mathematics at the Institute of Mathematics, Faculty of Technical Physics, Information Technology and Applied Mathematics, Lodz University of Technology since 2010. Between 1998-2010 he worked at the University of Lodz, first as instructor, then as assistant professor and from 2009 as associate professor. He works in nonlinear analysis with emphasis on boundary value problems investigated by variational and monotonicity methods. His current research concentrates on the interplay between variational and monotonicity methods.

• - 1. The Weierstrass Theorem - the origin of optimization.- 2. Some basics from functional analysis and function spaces.- 3. Differentiation in infinite dimensional spaces.- 4. On the Weierstrass Theorem in infinite dimensional spaces.- 5. Applications to multiple integrals.