An Introduction to Modern Analysis

“The book under review … published as a 21st century introduction to modern analysis, is closer in spirit to Dieudonné’s text, but there are substantial differences. … Instructors and students will no doubt relish this treasure trove of problems – the exercises and hints account for a quarter of the book’s 863 pages! … When all has been said and done, the authors must be congratulated on writing a useful textbook that includes plenty of bonuses for both students and instructors.” (Tushar Das, MAA Reviews, maa.org, June, 2016)

“This book presents a widely treated approach to the foundations of modern analysis. … recommended to teachers and researchers, who will find here a new view of interrelations between various phenomena in analysis where topological facts and powerful methods of functional analysis play an essential role. … comments by the authors describing the exact meaning of notions and ideas, together with a host of exercises showing the power of theory applicable in‘practical’ problems, make this book useful and modern.” (Marek Balcerzak, Mathematical Reviews, January, 2016)

“This monograph presents a combined introduction to both elementary mathematical analysis and real analysis. … this monograph covers a wide range of topics and can be warmly recommended to everyone in need of a text- and reference book in real analysis.” (Dirk Werner, zbMATH 1321.26001, 2015)