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

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9780387949949: Topological Spaces: From Distance to Neighborhood (Undergraduate Texts in Mathematics)

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.

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This is a gentle introduction to topological spaces leading the reader to understand the notion of what is important in topology vis-a-vis geometry and analysis. The authors have carefully divided the book into three sections; The line and the plane, Metric spaces and Topological spaces, in order to mitigate the move into higher levels of abstraction. Students are thereby informally assisted in getting aquainted with new ideas while remaining on familiar territory. The authors have also restricted the mathematical vocabulary in the book to avoid overwhelming the reader with the extensive array of technical terms indicating the properties of topological spaces. Additionally, 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. -- Book Description

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Gerard Buskes, Arnoud van Rooij
Editorial: Springer-Verlag New York Inc., United States (1997)
ISBN 10: 0387949941 ISBN 13: 9780387949949
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Descripción Springer-Verlag New York Inc., United States, 1997. Hardback. Estado de conservación: New. 1997 ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Nº de ref. de la librería LIE9780387949949

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Descripción Springer, 1997. Estado de conservación: New. This item is printed on demand for shipment within 3 working days. Nº de ref. de la librería LP9780387949949

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Descripción Springer, 1997. Hardback. Estado de conservación: NEW. 9780387949949 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0275659

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Descripción Springer-Verlag New York Inc., 1997. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9780387949949

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Descripción Springer-Verlag New York Inc., 1997. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9780387949949

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Descripción Springer, 2017. Hardcover. Estado de conservación: New. Never used! This item is printed on demand. Nº de ref. de la librería 0387949941

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Descripción Springer-Verlag New York Inc., United States, 1997. Hardback. Estado de conservación: New. 1997 ed.. Language: English . Brand New Book ***** Print on Demand *****.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. Nº de ref. de la librería APC9780387949949

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Gerard Buskes, Arnoud van Rooij
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Descripción Springer-Verlag New York Inc., United States, 1997. Hardback. Estado de conservación: New. 1997 ed.. Language: English . Brand New Book ***** Print on Demand *****. 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. Nº de ref. de la librería APC9780387949949

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Descripción Estado de conservación: New. Nº de ref. de la librería ria9780387949949_ing

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