Metric spaces Subhajit Paul

Format:

Book

Author/Creator:

Paul, Subhajit, author.

Series:

University texts in the mathematical sciences 2731-9326

Language:

English

Subjects (All):

Metric spaces.

Physical Description:

1 online resource

Place of Publication:

Singapore Springer [2026]

System Details:

text file PDF

Summary:

This book systematically develops the theory of Metric Spaces while serving as a connection between classical Real Analysis and General Topology. It is designed for senior undergraduate and graduate students, providing formal definitions, theorems, proofs, examples, remarks, exercises, and explanatory notes. Instructors can use the numerous examples and miscellaneous results to structure their teaching approach. The book contains seven chapters, first of which lists primary results (without proofs) from the undergraduate Real Analysis course. Each subsequent chapter builds on cues from previous levels, adapting them to the context of Metric Spaces. Additionally, the book includes four appendix chapters. The first three are included to maintain the flow of discussion in the main chapters, relegating less relevant proofs to the appendices. The fourth appendix on the Cantor set is included to provide insight into this notable mathematical concept

Contents:

Chapter 1. Recollections

Chapter 2. Basic Notions

Chapter 3. Topology of Metric Spaces 4. Completeness

Chapter 5. Continuity

Chapter 6. Compactness

Chapter 7. Connectedness

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed June 2, 2026)

ISBN:

9789819692590

9819692598

OCLC:

1593572171

Publisher Number:

CIPO000287741