Both authors taught at the University of Sussex for many years. Robin Dyer's main research contributions are to the theory of the Navier-Stokes equations; those of David Edmunds lie in functional analysis, interpolation theory and function spaces.
From the book reviews:
"Dyer and Edmunds (both, Univ. of Sussex, UK) developed this work from undergraduate lectures given at the university with the intent of providing an integrated course in real and complex analysis for those who have learned the rudiments of real analysis. Their intentions have been achieved. ... Nearly every section has a collection of exercises. ... Summing Up: Recommended. Upper-division undergraduates and graduate students." (D. Robbins, Choice, Vol. 52 (3), November, 2014)
"A number of questions which are common, as well as those which are differently explaned in real and complex analysis are discussed in the book. The material is presented on fairly rigorous level and illustrated by useful examples. The reader could improve his/her understanding of several notions of real and complex analysis studying the book. The series of exercises are useful in this sense too." (Sergei V. Rogosin, zbMATH, Vol. 1296, 2014)