Topological Spaces: From Distance to Neighborhood (Undergraduate Texts in Mathematics) - Tapa dura

Libro 8 de 163: Undergraduate Texts in Mathematics

Rooij, Arnoud Van; Buskes, Gerard

 
9780387949949: Topological Spaces: From Distance to Neighborhood (Undergraduate Texts in Mathematics)
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ISBN 10: 0387949941 ISBN 13: 9780387949949
Editorial: Springer, 1997

Sinopsis

gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into three sections - The line and the plane, Metric spaces and Topological spaces -, the book eases the move into higher levels of abstraction. Students are thereby informally assisted in learning new ideas while remaining on familiar territory. The authors do not assume previous knowledge of axiomatic approach or set theory. Similarly, they have restricted the mathematical vocabulary in the book so as to avoid overwhelming the reader, and the concept of convergence is employed to allow students to focus on a central theme while moving to a natural understanding of the notion of topology. The pace of the book is relaxed with gradual acceleration: the first nine sections form a balanced course in metric spaces for undergraduates while also containing ample material for a two-semester graduate course. Finally, the book illustrates the many connections between topology and other subjects, such as analysis and set theory, via the inclusion of "Extras" at the end of each chapter presenting a brief foray outside topology.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into three sections - The line and the plane, Metric spaces and Topological spaces -, the book eases the move into higher levels of abstraction. Students are thereby informally assisted in learning new ideas while remaining on familiar territory. The authors do not assume previous knowledge of axiomatic approach or set theory. Similarly, they have restricted the mathematical vocabulary in the book so as to avoid overwhelming the reader, and the concept of convergence is employed to allow students to focus on a central theme while moving to a natural understanding of the notion of topology. The pace of the book is relaxed with gradual acceleration: the first nine sections form a balanced course in metric spaces for undergraduates while also containing ample material for a two-semester graduate course. Finally, the book illustrates the many connections between topology and other subjects, such as analysis and set theory, via the inclusion of "Extras" at the end of each chapter presenting a brief foray outside topology.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
1997
Idioma
Inglés
ISBN 10 
0387949941
ISBN 13 
9780387949949
Encuadernación
Tapa dura
Número de páginas
332
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9781461268628: Topological Spaces: From Distance to Neighborhood (Undergraduate Texts in Mathematics)

Edición Destacada

ISBN 10:  1461268621 ISBN 13:  9781461268628
Editorial: Springer, 2012
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