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A Comprehensive Textbook on Metric Spaces

Autor Surinder Pal Singh Kainth
en Limba Engleză Paperback – noi 2024
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.
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Specificații

ISBN-13: 9789819927401
ISBN-10: 9819927404
Pagini: 360
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.55 kg
Editura: Springer

Cuprins

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

Notă biografică

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. 
 

Textul de pe ultima copertă

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.   


Caracteristici

Presents a comprehensive course on metric spaces containing chapters on homeomorphisms, cardinality and the Cantor set Delves into axiomatic set theory and proofs through games Contains 966 exercises, 144 references, historical insights, a few open questions and some recent results