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Topological Spaces By Gerard Buskes & Arnoud Van Rooij Hardcover Springer 2003
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Topological Spaces By Gerard Buskes & Arnoud Van Rooij Hardcover Springer 2003
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Topological Spaces By Gerard Buskes & Arnoud Van Rooij Hardcover Springer 2003

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    Hinweise des Verkäufers
    “Excellent condition!”
    Level
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    ISBN
    9780387949949
    Kategorie

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    Product Identifiers

    Publisher
    Springer New York
    ISBN-10
    0387949941
    ISBN-13
    9780387949949
    eBay Product ID (ePID)
    1122196

    Product Key Features

    Number of Pages
    Xi, 313 Pages
    Language
    English
    Publication Name
    Topological Spaces : from Distance to Neighborhood
    Publication Year
    1997
    Subject
    Topology
    Type
    Textbook
    Subject Area
    Mathematics
    Author
    Arnoud Van Rooij, Gerard Buskes
    Series
    Undergraduate Texts in Mathematics Ser.
    Format
    Hardcover

    Dimensions

    Item Weight
    50.1 Oz
    Item Length
    9.3 in
    Item Width
    6.1 in

    Additional Product Features

    Intended Audience
    Scholarly & Professional
    LCCN
    97-003756
    Dewey Edition
    21
    Number of Volumes
    1 vol.
    Illustrated
    Yes
    Dewey Decimal
    514/.322
    Table Of Content
    I The Line And The Plane.- 1 What Topology Is About.- 2 Axioms for ?.- 3 Convergent Sequences and Continuity.- 4 Curves in the Plane.- II Metric Spaces.- 5 Metrics.- 6 Open and Closed Sets.- 7 Completeness.- 8 Uniform Convergence.- 9 Sequential Compactness.- 10 Convergent Nets.- 11 Transition to Topology.- III Topological Spaces.- 12 Topological Spaces.- 13 Compactness and the Hausdorff Property.- 14 Products and Quotients.- 15 The Hahn-Tietze-Tong-Urysohn Theorems.- 16 Connectedness.- IV Postscript.- 18 A Smorgasbord for Further Study.- 19 Countable Sets.- Literature.- Index of Symbols.- Index of Terms.
    Synopsis
    Topological Spaces: From Distance to Neighborhood is a gentle introduction to topological spaces leading the reader to understand the notion of what is important in topology vis-a-vis geometry. 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 the move into higher levels of abstraction. Students will be very attracted to this presentation., This book is a text, not a reference, on Point-set Thpology. It addresses itself to the student who is proficient in Calculus and has some experience with mathematical rigor, acquired, e.g., via a course in Advanced Calculus or Linear Algebra. Th most beginners, Thpology offers a double challenge. In addition to the strangeness of concepts and techniques presented by any new subject, there is an abrupt rise of the level of abstraction. It is a bad idea to teach a student two things at the same moment. Th mitigate the culture shock, we move from the special to the general, dividing the book into three parts: 1. The Line and the Plane 2. Metric Spaces 3. Thpological Spaces. In this way, the student has ample time to get acquainted with new ideas while still on familiar territory. Only after that, the transition to a more abstract point of view takes place. Elementary Thpology preeminently is a subject with an extensive ar­ ray of technical terms indicating properties of topological spaces. In the main body of the text, we have purposely restricted our mathematical vocabulary as much as is reasonably possible. Such an enterprise is risky. Doubtlessly, many readers will find us too thrifty. Th meet them halfway, in Chapter 18 we briefly introduce and discuss a number of topological properties, but even there we do not touch on paracompactness, com­ plete normality, and extremal disconnectedness-just to mention three terms that are not really esoteric., This book is a text, not a reference, on Point-set Thpology. It addresses itself to the student who is proficient in Calculus and has some experience with mathematical rigor, acquired, e.g., via a course in Advanced Calculus or Linear Algebra. Th most beginners, Thpology offers a double challenge. In addition to the strangeness of concepts and techniques presented by any new subject, there is an abrupt rise of the level of abstraction. It is a bad idea to teach a student two things at the same moment. Th mitigate the culture shock, we move from the special to the general, dividing the book into three parts: 1. The Line and the Plane 2. Metric Spaces 3. Thpological Spaces. In this way, the student has ample time to get acquainted with new ideas while still on familiar territory. Only after that, the transition to a more abstract point of view takes place. Elementary Thpology preeminently is a subject with an extensive ar- ray of technical terms indicating properties of topological spaces. In the main body of the text, we have purposely restricted our mathematical vocabulary as much as is reasonably possible. Such an enterprise is risky. Doubtlessly, many readers will find us too thrifty. Th meet them halfway, in Chapter 18 we briefly introduce and discuss a number of topological properties, but even there we do not touch on paracompactness, com- plete normality, and extremal disconnectedness-just to mention three terms that are not really esoteric., This book is a text, not a reference, on Point-set Topology. It addresses itself to the student who is proficient in Calculus and has some experience with mathematical rigor, acquired, e.g., via a course in Advanced Calculus or Linear Algebra. To most beginners, Topology offers a double challenge. In addition to the strangeness of concepts and techniques presented by any new subject, there is an abrupt rise of the level of abstraction. It is a bad idea to teach a student two things at the same moment. To mitigate the culture shock, we move from the special to the general, dividing the book into three parts: 1. The Line and the Plane 2. Metric Spaces 3. Topological Spaces. In this way, the student has ample time to get acquainted with new ideas while still on familiar territory. Only after that, the transition to a more abstract point of view takes place. Elementary Topology preeminently is a subject with an extensive ar­ray of technical terms indicating properties of topological spaces. In the main body of the text, we have purposely restricted our mathematical vocabulary as much as is reasonably possible. Such an enterprise is risky. Doubtlessly, many readers will find us too thrifty. To meet them halfway, in Chapter 18 we briefly introduce and discuss a number of topological properties, but even there we do not touch on paracompactness, com­plete normality, and extremal disconnectedness-just to mention three terms that are not really esoteric.
    LC Classification Number
    QA611-614.97

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