A Basic Course in Real Analysis

by Ajit Kumar, S. Kumaresan

Overview

Based on the authors' combined 35 years of experience in teaching, A Basic Course in Real Analysis introduces students to the aspects of real analysis in a friendly way. The authors offer insights into the way a typical mathematician works observing patterns, conducting experiments by means of looking at or creating examples, trying to understand t

Product Details

ISBN-13:	9781482216400
Publisher:	CRC Press
Publication date:	01/10/2014
Sold by:	Barnes & Noble
Format:	eBook
Pages:	322
File size:	4 MB

About the Author

Dr. Ajit Kumar is a faculty member at the Institute of Chemical Technology, Mumbai, India. His main interests are differential geometry, optimization and the use of technology in teaching mathematics. He received his Ph.D. from University of Mumbai. He has initiated a lot of mathematicians into the use of open source mathematics software. Dr. S Kumaresan is currently a professor at University of Hyderabad. His initial training was at Tata Institute of Fundamental Research, Mumbai where he earned his Ph.D. He then served as a professor at University of Mumbai. His main interests are harmonic analysis, differential geometry, analytical problems in geometry, and pedagogy. He has authored five books, ranging from undergraduate level to graduate level.

Table of Contents

Preface 1 Real Number System 2 Sequences and Their Convergence 3 Continuity 4 Differentiation 5 Infinite Series 6 Riemann Integration 7 Sequences and Series of Functions

Editorial Reviews

"… there are some unique features that put this book aside. … a welcome addition to the library of teachers and student alike."
—Zentralblatt MATH 1308

"… this book describes the basic results of analysis in an extremely clear, straightforward, and well-motivated way. … if you’re looking for a text on the easy end of the spectrum for a course in real analysis, then this book is certainly worth a serious look …"
—MAA Reviews, October 2014

From the Publisher