It is generally believed that solving problems is the most important part of the learning process in mathematics because it forces students to truly understand

Even the simplest mathematical abstraction of the phenomena of reality the real line-can be regarded from different points of view by different mathematical dis

This book is based on lectures given at "Mekhmat", the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departmen

It begins in Chapter 1 with an introduction to the necessary foundations, including the Arzelà–Ascoli theorem, elementary Hilbert space theory, and the Baire

These problems and solutions are offered to students of mathematics who have learned real analysis, measure theory, elementary topology and some theory of topol