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010   $a9783031776137
010   $a3031776135
024 7 $a10.1007/978-3-031-77613-7
035   $a(CKB)37391379700041
035   $a(MiAaPQ)EBC31892417
035   $a(Au-PeEL)EBL31892417
035   $a(DE-He213)978-3-031-77613-7
035   $a(OCoLC)1496392166
035   $a(EXLCZ)9937391379700041
100   $a20250125d2025      u|         0
101 0 $aeng
135   $aur|||||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAleksandrov-Rassias Problems on Distance Preserving Mappings /$fby Soon-Mo Jung
205   $a1st ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (349 pages)
225 1 $aFrontiers in Mathematics,$x1660-8054
311 08$a9783031776120 
311 08$a3031776127 
327   $aPreface -- 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.
330   $aThis book provides readers with an engaging explanation of the Aleksandrov problem, giving readers an overview of the process of solving Aleksandrov-Rassias problems, which are still actively studied by many mathematicians, and familiarizing readers with the details of the proof process. In addition, effort has been put into writing this book so that readers can easily understand the content, saving readers the trouble of having to search the literature on their own. In fact, this book logically and kindly introduces the basic theories of related fields.
410  0$aFrontiers in Mathematics,$x1660-8054
606   $aFunctional analysis
606   $aGeometry
606   $aTopology
606   $aFunctional Analysis
606   $aGeometry
606   $aTopology
615  0$aFunctional analysis.
615  0$aGeometry.
615  0$aTopology.
615 14$aFunctional Analysis.
615 24$aGeometry.
615 24$aTopology.
676   $a515.7
700   $aJung$b Soon-Mo$01372880
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910983365603321
996   $aAleksandrov-Rassias Problems on Distance Preserving Mappings$94317527
997   $aUNINA