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Generalized Metric Spaces and Mappings (2016)

Generalized Metric Spaces and Mappings

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"Generalized Metric Spaces and Mappings" by Shou Lin, Ziqiu Yun is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

The idea of mutual classification of spaces and mappings is one of the main research directions of point set topology. In a systematical way, this book discusses the basic theory of generalized metric spaces by using the mapping method, and summarizes the most important research achievements, particularly those from Chinese scholars, in the theory of spaces and mappings since the 1960s. This book has three chapters, two appendices and a list of more than 400 references. The chapters are "The origin of generalized metric spaces", "Mappings on metric spaces" and "Classes of generalized metric spaces". Graduates or senior undergraduates in mathematics major can use this book as their text to study the theory of generalized metric spaces. Researchers in this field can also use this book as a valuable reference.

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Best For: Graduate and senior undergraduate mathematics students, as well as researchers in topology.
Focus: The basic theory of generalized metric spaces using the mapping method.
Covers: The origin of generalized metric spaces, mappings on metric spaces, and classes of generalized metric spaces, including significant research achievements since the 1960s.
Why It Matters: It provides a systematic overview of generalized metric spaces and mappings, consolidating important developments and research, especially contributions from Chinese scholars, serving as both a textbook and reference in the field.

"Generalized Metric Spaces and Mappings" by Shou Lin, Ziqiu Yun is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: Shou Lin, Ziqiu Yun

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

The idea of mutual classification of spaces and mappings is one of the main research directions of point set topology. In a systematical way, this book discusses the basic theory of generalized metric spaces by using the mapping method, and summarizes the most important research achievements, particularly those from Chinese scholars, in the theory of spaces and mappings since the 1960s. This book has three chapters, two appendices and a list of more than 400 references. The chapters are "The origin of generalized metric spaces", "Mappings on metric spaces" and "Classes of generalized metric spaces". Graduates or senior undergraduates in mathematics major can use this book as their text to study the theory of generalized metric spaces. Researchers in this field can also use this book as a valuable reference.

AuthorShou Lin, Ziqiu Yun
PublisherAtlantis Press
Published2016-11-03
ISBN-139789462392151
BindingHardcover
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesAtlantis Studies in Mathematics

Format: Hardcover

Language: English

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