Holder and locally Holder Continuous Functions, and Open Sets of Class C^k, C^{k,lambda}

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 ?-Holder condition and introducing the notion of locally Holder-continuous function in an open set O 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 Holder-continuous functions and their applications.