Introduction to Measure Theory and Functional Analysis This book introduces readers to theories that play a crucial role in modern mathematics such as integration and functional analysis employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined the solutions of which are often supported by generous hints. If the material is split into two courses it can be supplemented by additional topics from the third part of the book such as functions of bounded variation absolutely continuous functions and signed measures. This textbook addresses the needs of graduate students in mathematics who will find the basic material they will need in their future careers as well as those of researchers who will appreciate the self contained exposition which requires no other preliminaries than basic calculus and linear algebra 1 Part I Measure and Integration 2 Part II Functional Analysis 3 Part III Selected Topics 4 Appendices 5 Index