Measure and Integration This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one semester introductory course. An awareness of basic real analysis and elementary topological notions with special emphasis on the topology of the n dimensional Euclidean space is the pre requisite for this book. Each chapter is provided with a variety of exercises for the students. The book is targeted to students of graduate and advanced graduate level courses on the theory of measure and integration Chapter 1. Measure Chapter 2. The Lebesgue measure Chapter 3. Measurable functions Chapter 4. Convergence Chapter 5. Integration Chapter 6. Differentiation Chapter 7. Change of variable Chapter 8. Product spaces Chapter 9. Signed measures Chapter 10. Lp spaces