Böcker av Leszek Gasinski

Exercises in Analysis will be published in two volumes. The entire collection of exercises offers a balanced and useful picture for the application surrounding each topic. This nearly encyclopedic coverage of exercises in mathematical analysis is the first of its kind and is accessible to a wide readership.

This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods.

Offers a complete presentation of the nonsmooth critical point theory and investigates many different classes of boundary value problems, illustrating a variety of general methods. This work includes detailed appendices that provide easy access to the mathematical tools used in the book, and a rich bibliography offers a guide to the literature.

Focuses on topics in nonlinear analysis pertinent to the theory of boundary value problems and their application in areas such as control theory and the calculus of variations. This work includes results on critical point theory, nonlinear differential operators, and related regularity and comparison principles.