Satish Shirali, Harkrishan Lal Vasudeva

Metric Spaces (eBook, PDF)

• Format: PDF

Produktbeschreibung

'Metric spaces' is taught in the final years of undergraduate degrees as an essential part of functional analysis. This book takes a traditional theorem-proof approach to gradually take advanced readers through the subject, using worked examples and a large number of exercises, to teach it. This book helps fill a gap in literature, as there are few books on this specific subject available.

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Produktdetails

• Verlag: Springer London
• Seitenzahl: 222
• Erscheinungstermin: 16. Dezember 2005
• Englisch
• ISBN-13: 9781846282447
• Artikelnr.: 44127447

Autorenporträt

Satish Shirali, Laurentian University, Mohali Campus at CIIS, Canada / Harkrishan L. Vasudeva, Panjab University, Chandigarh, India

Inhaltsangabe

Preliminaries.- Basic Concepts.- Topology of a Metric Space.- Continuity.- Connected Spaces.- Compact Spaces.- Product Spaces.

Rezensionen

From the reviews:

"This volume provides a complete introduction to metric space theory for undergraduates. It covers the typology of metric spaces, continuity, connectedness, compactness and product spaces ... . The material is developed at a leisurely pace and applications of the theory are discussed throughout, making this book ideal as a classroom text for third- and fourth-year undergraduates or as a self-study resource for graduate students and researchers." (L'Enseignement Mathematique, Vol. 51 (3-4), 2005)

"This book on metric spaces was written by authors whose main field is analysis. Therefore its focus lies on those parts of the theory of metric spaces which are mainly used in (functional) analysis. ... Altogether this is an interesting book for those who will continue their studies in analysis." (H. Brandenburg, Zentralblatt Math, Vol. 1095 (21), 2006)

"This book introduces the fundamentals of analysis in metric spaces. It's writtenin a very spare theorem-proof-example style; has illustrative examples and exercises; spends little time on discussion, development of intuition, or substantial applications; begins by stating that the abstract postulational method has a vital role in modern mathematics; implicitly assumes this is the way to teach mathematics. Useful resource for writing lectures? Certainly." (Donald Estep, SIAM Review, Vol. 49 (2), 2007)