A Comprehensive Textbook on Metric Spaces

The textbook provides a comprehensive course in metric spaces, with a smooth transition from basic real analysis to metric spaces, featuring unique concepts and new proofs of old results. It includes chapters on homeomorphisms and the Cantor set, is self-contained, and has examples, exercises, references, and remarks about the history of basic notions and results. It is targeted for advanced undergraduate and beginning graduate students of mathematics.

Format: Hardback
Length: 344 pages
Publication date: 31 October 2023
Publisher: Springer Verlag, Singapore

Metric spaces are a fundamental concept in mathematics that provide a framework for studying the properties of geometric objects. This textbook offers a comprehensive course in metric spaces, starting from basic real analysis and gradually building up to more advanced topics. Each chapter focuses on a single concept, which is then explored in detail through related sections and subsections. One of the unique features of this book is its new presentation, which makes it easy to understand and apply the concepts. Additionally, it contains some special concepts and new proofs of old results that are not available in any other book on metric spaces. The book also includes individual chapters on homeomorphisms and the Cantor set, which are important topics in metric spaces. The book is almost self-contained and includes an abundance of examples, exercises, references, and remarks about the history of basic notions and results. It is targeted to serve as a textbook for advanced undergraduate and beginning graduate students of mathematics. Each chapter of this book includes brief hints and solutions to selected exercises, making it a valuable resource for students.

Weight: 705g
Dimension: 235 x 155 (mm)
ISBN-13: 9789819927371
Edition number: 1st ed. 2023