Real Analysis

This book is Real analysis, consists of five chapters. Chapter 1 contains the fundamental concepts of Sets. Chapter 2 contains the fundamentals of Measurable Sets. In chapter 3 we will discuss Measurable functions. Chapter 4 presents The Lebesgue Integral. Chapter 5 contains the Fourier Series and Orthogonal Systems. In writing the book the author has injected his experience and expertise of teaching. In fact, the book closely follows the lectures given by the author to some classes at the Faculty of Science, Cairo University.