Although there are many books available on this subject, students often find it difficult to learn the essence of analysis on their own or after going through a course on real analysis. Written in a conversational tone, this text explains the hows and whys of real analysis and provides guidance that makes students think at every stage. It offers insight into how a typical mathematician works-observing patterns, conducting experiments, looking at or creating examples, understanding underlying principles, coming up with guesses or conjectures, and rigorously proving them.
Although there are many books available on this subject, students often find it difficult to learn the essence of analysis on their own or after going through a course on real analysis. Written in a conversational tone, this text explains the hows and whys of real analysis and provides guidance that makes students think at every stage. It offers insight into how a typical mathematician works-observing patterns, conducting experiments, looking at or creating examples, understanding underlying principles, coming up with guesses or conjectures, and rigorously proving them.
Ajit Kumar, Ph.D., is an academic, editor, reviewer and interviewer from Haryana, India. His research interests include cross-cultural conversations, critical analyses of marginalized narratives, women writing, and cinematic representation. He has interviewed many writers and poets from the United States of America, the United Kingdom, Canada, Australia, Ireland, France, Brazil, Sri Lanka and India. His interviews and reviews have been published in the university journals of India, Australia and the USA.
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