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 λ-Hölder condition and introducing the notion of locally Hölder-continuous function in an open set Ω in Rⁿ. Further, it provides the essential notions of multidimensional geometry applied to analysis.

Written in an accessible style and with proofs g...