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Metric Spaces

BuchKartoniert, Paperback
304 Seiten
Englisch
Springererschienen am08.09.2006
The book provides a thorough exposition of all the standard necessary results of the theory and, in addition, includes selected topics not normally found in introductory books, such as: the Tietze Extension Theorem;mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR37,40
E-BookPDF1 - PDF WatermarkE-Book
EUR39,58

Produkt

KlappentextThe book provides a thorough exposition of all the standard necessary results of the theory and, in addition, includes selected topics not normally found in introductory books, such as: the Tietze Extension Theorem;
ZusammenfassungThe abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line.
Details
ISBN/GTIN978-1-84628-369-7
ProduktartBuch
EinbandartKartoniert, Paperback
Verlag
Erscheinungsjahr2006
Erscheinungsdatum08.09.2006
ReiheSpringer Undergraduate Mathematics Series
Seiten304 Seiten
SpracheEnglisch
Gewicht613 g
IllustrationenXX, 304 p. 102 illus.
Artikel-Nr.10710873

Inhalt/Kritik

Inhaltsverzeichnis
Metrics.- Distance.- Boundary.- Open, Closed and Dense Subsets.- Balls.- Convergence.- Bounds.- Continuity.- Uniform Continuity.- Completeness.- Connectedness.- Compactness.- Equivalence.mehr
Kritik
From the reviews:



"This book is truly about metric spaces. ... The book is packed full of material which does not often appear in comparable books. ... His use of questions to increase understanding and to move on to the next topic are also to be appreciated. ... this is a great book and suitable ... for third-and fourth-year under-graduates and beginning graduate students." (Marion Cohen, MathDL, January, 2007)

"The book is very readable. It includes appendixes on the necessary mathematical logic and set theory, and has a substantial number of exercises... Every concept is demonstrated via a large number of examples, starting with commonplace ones and expanding the reader's horizon with the more abstruse ones, to give a sense of the scope of the concepts... A useful addition to any library supporting an undergraduate mathematics major." (D. Z. Spicer, CHOICE, March, 2007)mehr