02536nam 22006015 450 991098336560332120250806170458.09783031776137303177613510.1007/978-3-031-77613-7(CKB)37391379700041(MiAaPQ)EBC31892417(Au-PeEL)EBL31892417(DE-He213)978-3-031-77613-7(OCoLC)1496392166(EXLCZ)993739137970004120250125d2025 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierAleksandrov-Rassias Problems on Distance Preserving Mappings /by Soon-Mo Jung1st ed. 2025.Cham :Springer Nature Switzerland :Imprint: Springer,2025.1 online resource (349 pages)Frontiers in Mathematics,1660-80549783031776120 3031776127 Preface -- Preliminaries -- Aleksandrov Problem -- Aleksandrov-Benz Problem -- Aleksandrov-Rassias Problems -- Rassias and Xiang’s Partial Solutions -- Inequalities for Distances between Points -- Jung, Lee, and Nam’s Partial Solutions -- Miscellaneous -- Bibliography -- Index.This book provides readers with an engaging explanation of the Aleksandrov problem, giving readers an overview of the process of solving Aleksandrov-Rassias problems, which are still actively studied by many mathematicians, and familiarizing readers with the details of the proof process. In addition, effort has been put into writing this book so that readers can easily understand the content, saving readers the trouble of having to search the literature on their own. In fact, this book logically and kindly introduces the basic theories of related fields.Frontiers in Mathematics,1660-8054Functional analysisGeometryTopologyFunctional AnalysisGeometryTopologyFunctional analysis.Geometry.Topology.Functional Analysis.Geometry.Topology.515.7Jung Soon-Mo1372880MiAaPQMiAaPQMiAaPQBOOK9910983365603321Aleksandrov-Rassias Problems on Distance Preserving Mappings4317527UNINA