A Comprehensive Textbook on Metric Spaces

Surinder Pal Singh Kainth (Autor)

Buch | Softcover

344 Seiten

2024
Springer Verlag, Singapore
978-981-99-2740-1 (ISBN)

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This textbook provides a comprehensive course in metric spaces. Presenting a smooth takeoff from basic real analysis to metric spaces, every chapter of the book presents a single concept, which is further unfolded and elaborated through related sections and subsections. Apart from a unique new presentation and being a comprehensive textbook on metric spaces, it contains some special concepts and new proofs of old results, which are not available in any other book on metric spaces. It has individual chapters on homeomorphisms and the Cantor set. This book is almost self-contained and has an abundance of examples, exercises, references and remarks about the history of basic notions and results. Every chapter of this book includes brief hints and solutions to selected exercises. It is targeted to serve as a textbook for advanced undergraduate and beginning graduate students of mathematics.

Surinder Pal Singh Kainth is Assistant Professor at the Department of Mathematics, Panjab University, Chandigarh, India. He has a Ph.D. degree in integration theory from the Indian Institute of Technology Bombay and is working in generalized integrals and graph theory. He has made some significant progress on the sphere-of-influence graph (SIG) dimension conjecture.

Real Analysis.- Metric Spaces.- Topology.- Completeness.- Compactness.- Connectedness.- Cardinality.- Denseness.-Homeomorphisms.- The Cantor Set.- Appendixes.- Bibliography.- Index.

Erscheinungsdatum	02.11.2024
Zusatzinfo	2 Illustrations, color; 10 Illustrations, black and white
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Cantor set • Cardinality • Continuity • Homeomorphism • Metric Space • metric topology • Open set • perfect set
ISBN-10	981-99-2740-4 / 9819927404
ISBN-13	978-981-99-2740-1 / 9789819927401
Zustand	Neuware