Real Analysis

The book provides a fairly rigorous introduction to real analysis and a thorough understanding of the fundamental principles. The language of the book is simple and easy to understand. Each topic has been presented in a systematic, simple, lucid and exhaustive manner. A large number of typical and important examples selected from various university question papers, have been provided for a clear grasp of the subject. Special features of the book are the notes, remarks and cautions added here and there for a better understanding of the subject. Chapter 1 on ‘Sets and Functions’ provides an essential pre-requisite for further chapters. The chapters on ‘Arbitrary Series and Infinite Products’, ‘Sequences and Series of Functions’ and ‘Improper Integrals’ distinguish the book from most of the other books available on the subject. The book covers the entire syllabus for the Honours students and will be found very helpful for competitive examinations.