Real analysis is a branch of mathematics that studies the properties and behavior of real numbers, real functions, real sequences, real series, and real integrals. It is also known as the theory of functions of a real variable. Real analysis is essential for understanding the foundations of calculus, differential equations, and other areas of mathematics and science.
One of the popular books on real analysis is Introduction to Real Analysis by S.K. Mapa. This book is suitable for advanced undergraduates and graduate students who want to learn the basics of real analysis and how to construct mathematical proofs. The book covers topics such as set theory, real numbers, set in R, real functions, sequence and series, continuity, differentiation, integration, metric spaces, and more. The book also contains numerous examples and exercises to help the readers test their understanding.
If you are looking for a PDF version of this book, you can find it online from various sources. However, you should be aware that downloading a PDF file of a copyrighted book without the permission of the author or publisher may be illegal in your country. Therefore, we recommend that you buy the original book from a reputable bookstore or online platform.
Alternatively, you can also access some online resources that provide free and legal access to some chapters or sections of the book. For example, you can read the first chapter of the book on Google Books. You can also find some notes and handouts on real analysis based on the book on Viden.io and Williams College. These resources can help you get an overview of the book and its contents.
We hope this article has helped you find what you are looking for. If you have any questions or feedback, please leave a comment below. Thank you for reading!
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