Exercises in Analysis

Leszek Gasińksi is the Chair of Optimization and Control Theory in the Institute of Computer Science at Jagiellonian University in Krakow, Poland. He is the co-author, along with Nikolaos S. Papageorgiou, of "Nonlinear Analysis" (CRC 2005) and "Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems" (CRC 2006). Nikolaos S. Papageorgiou is a Professor of Mathematics in the School of Applied Mathematical and Physical Sciences at National Technical University in Athens, Greece. He is the co-author, along with Leszek Gasińksi, of "Nonlinear Analysis" (CRC 2005) and "Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems" (CRC 2006).

“This is a truly stunning collection of material which is certainly most welcome.” (R. Steinbauer, Monatshefte für Mathematik, Vol. 192 (1), 2020)“This book is full of interesting problems. This is a useful collection of problems (with complete solutions) in pure and applied nonlinear functional analysis. … The volume is also addressed to graduate students and to researchers in pure and applied analysis. … this volume is an excellent gateway to the culture of problem solving. It is challenging and rewarding. The book shines a new light on mathematics and engages readers with its wonderful insights and problems.” (Vicenţiu D. Rădulescu, zbMATH, 1351.00006, 2017)

• 1. Function Spaces.- 2. Nonlinear and Multivalued Maps.- 3. Smooth and Nonsmooth Calculus.- 4. Degree Theory. Fixed Point Theory.- 5. Variational and Topological Methods.- Index.