Real Analysis and Infinity

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. * 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 *This attractively produced book covers all of the topics one would expect to find in an introductory text on real analysis. Thus a short scene-setting chapter is followed by a background chapter on sets, functions, logic and countability and then six long chapters on sequences and limits, the real numbers (constructed in detail using Q-Cauchy sequences), infinite series, differentiation and continuity (in that order), Riemann integration (using the Darboux formulation) and infinite series of functions. * Nick Lord, Mathematical Gazette *

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.