Modern Geometry

“Modern Geometry” aims to elucidate the complex and evolving landscape of geometry as it stands in the contemporary mathematical sphere. It seeks to bridge the historical foundations of geometric theory with the latest advancements and applications that define the field today. This book is methodically designed for a broad spectrum of readers ranging from university students embarking on undergraduate or graduate studies in mathematics to educators seeking to enrich their teaching repertoire with deeper insights into geometric principles. It also caters to researchers and professionals in mathematics engineering computer science and related disciplines who require a comprehensive understanding of modern geometric theories and techniques as part of their work.