"This is the second, improved edition of the only existing monograph devoted to real-analytic functions, whose theory is rightly considered in the preface 'the wellspring of mathematical analysis.' Organized in six parts, [with] a very rich bibliography and an index, this book is both a map of the subject and its history. Proceeding from the most elementary to the most advanced aspects, it is useful for both beginners and advanced researchers. —MATHEMATICAL REVIEWS "Bringing together results scattered in various journals or books and presenting them in a clear and systematic manner, the book is of interest first of all for analysts, but also for applied mathematicians and researchers in real algebraic geometry." —ACTA APPLICANDAE MATHEMATICAE

"The book can be highly recommended for graduate students as a comprehensive introduction to the field of geometric analysis. Also mathematicians working in other areas can profit a lot from this carefully written book. In particular, the geometric ideas are presented in a self-contained manner; for some of the needed analytic or measure-theoretic results, references are given."

The series Trends in Applied Linguistics meets the challenges of the rapidly growing field of applied linguistics. In a very broad sense, applied linguistics is understoodby focusing on the application of theoretical linguistics to current problems arising in different contexts of human society. Given the interdisciplinary character of applied linguistics, the series includes cognitive, psycholinguistic, sociolinguistic and educational perspectives. The following topicsare included in the series: Second language acquisition and the acquisition of additional languages Bilingual and multilingual education Language planning and language policy Literacy skills Second/foreign language pedagogy Translation and interpretation Language for specific purposes Discourse analysis Language testing and assessment Child language Language and gender Pragmatics and rhetorics Corpus analysis Critical pedagogies Research methodology in applied linguistics Language and technology