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Aleksandrov-Rassias Problems on Distance Preserving Mappings / by Soon-Mo Jung.

Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2025 English International Available online

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Format:
Book
Author/Creator:
Jung, Soon-Mo.
Series:
Frontiers in Mathematics, 1660-8054
Language:
English
Subjects (All):
Functional analysis.
Geometry.
Topology.
Functional Analysis.
Local Subjects:
Functional Analysis.
Geometry.
Topology.
Physical Description:
1 online resource (349 pages)
Edition:
1st ed. 2025.
Place of Publication:
Cham : Springer Nature Switzerland : Imprint: Springer, 2025.
Summary:
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.
Contents:
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.
Notes:
Description based on publisher supplied metadata and other sources.
ISBN:
9783031776137
3031776135
OCLC:
1496392166

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