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A Basic Course in Real Analysis
ISBN-13:
9781482216387
Veröffentl:
2014
Seiten:
322
Autor:
Ajit Kumar
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:
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.
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
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