This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a man

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

This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler la

This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Le