This book offers a systematic treatment of a classic topic in Analysis. It fills a gap in the
existing literature by presenting in detail the classic -Hölder condition and introducing the
notion of locally Hölder-continuous function in an open set in Rn. Further it provides the
essential notions of multidimensional geometry applied to analysis. Written in an accessible
style and with proofs given as clearly as possible it is a valuable resource for graduate
students in Mathematical Analysis and researchers dealing with Hölder-continuous functions and
their applications.
