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A Basic Course in Real Analysis

By: Material type: TextTextPublication details: Boca Raton; CRC Press; 2024Description: xvii, 299pISBN:
  • 9781498774789
Subject(s): DDC classification:
  • 515.8 KUM
Summary: 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.
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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.

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