Description
Book SynopsisReal Analysis and Infinity presents the essential topics for a first course in real analysis with an emphasis on the role of infinity in all of the fundamental concepts.
Trade ReviewReal Analysis and Infinity presents the essential topics for a first course in real analysis with an emphasis on the role of infinity in all of the fundamental concepts. * MathSciNet *
This is a thorough introduction to the subject for undergraduates. There are very few prerequisites (less than in most similar textbooks) because topics such as infinity, countable and uncountable sets, and even the principle of mathematical induction are discussed in an early chapter. [...] The main advantage this book offers is its reader-friendly style. * Miklós Bóna, University of Florida, Department of Mathematics *
Real Analysis and Infinity presents the essential topics for a first course in real analysis with an emphasis on the role of infinity in all of the fundamental concepts. * zb Math Open *
Table of ContentsPreface 1: Manifestations of Infinity: An Overview 2: Sets, Functions, Logic and Countability 3: Sequences and Limits 4: The Real Numbers 5: Infinite Series of Constants 6: Differentiation and Continuity 7: Integration 8: Infinite Sequences and Series of Functions Appendix: Cantor's Construction: Additional Detail Appendix: Discontinuity in a Space of Functions References and Further Reading
