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.
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.
Hassan Sedaghat is Professor Emeritus of Mathematics at Virginia Commonwealth University, USA. He has over 35 years of teaching experience in college mathematics, from freshman to the postgraduate level. He is the author of three books and over 60 research papers in the areas of analysis and nonlinear difference equations. He has collaborated with many researchers throughout the world on work in many joint publications and has given numerous invited talks in local and international venues.
Inhaltsangabe
Preface 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
Preface 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
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