Description

Book Synopsis
Offers a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat.

Table of Contents
  • Introduction: The enchanting world of topology
  • Point-set topology: Cardinality: To infinity and beyond
  • Topological spaces: Fundamentals
  • Bases, subspaces, products: Creating new spaces
  • Separation properties: Separating this from that
  • Countable features of spaces: Size restrictions
  • Compactness: The next best thing to being finite
  • Continuity: When nearby points stay together
  • Connectedness: When things don't fall into pieces
  • Metric spaces: Getting some distance
  • Algebraic and geometric topology: Transition from point-set topology to algebraic and geometric topology: Similar strategies, different domains
  • Classification of 2-manifolds: Organizing surfaces
  • Fundamental group: Capturing holes
  • Covering spaces: Layering it on
  • Manifolds, simpleces, complexes, and triangulability: Building blocks
  • Simplicial $\mathbb{Z}_2$-homology: Physical algebra
  • Applications of $\mathbb{Z}_2$-homology: A topological superhero
  • Simplicial $\mathbb{Z}$-homology: Getting oriented
  • Singular homology: Abstracting objects to maps
  • The end: A beginning--reflections on topology and learning
  • Appendix: Group theory background
  • Index

Topology Through Inquiry

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£59.40

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RRP £66.00 – you save £6.60 (10%)

Order before 4pm tomorrow for delivery by Sat 27 Dec 2025.

A Paperback by Michael Starbird, Francis Su

15 in stock


    View other formats and editions of Topology Through Inquiry by Michael Starbird

    Publisher: MP-AMM American Mathematical
    Publication Date: 12/30/2019 12:00:00 AM
    ISBN13: 9781470462611, 978-1470462611
    ISBN10: 1470462613
    Also in:
    Topology

    Description

    Book Synopsis
    Offers a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat.

    Table of Contents
    • Introduction: The enchanting world of topology
    • Point-set topology: Cardinality: To infinity and beyond
    • Topological spaces: Fundamentals
    • Bases, subspaces, products: Creating new spaces
    • Separation properties: Separating this from that
    • Countable features of spaces: Size restrictions
    • Compactness: The next best thing to being finite
    • Continuity: When nearby points stay together
    • Connectedness: When things don't fall into pieces
    • Metric spaces: Getting some distance
    • Algebraic and geometric topology: Transition from point-set topology to algebraic and geometric topology: Similar strategies, different domains
    • Classification of 2-manifolds: Organizing surfaces
    • Fundamental group: Capturing holes
    • Covering spaces: Layering it on
    • Manifolds, simpleces, complexes, and triangulability: Building blocks
    • Simplicial $\mathbb{Z}_2$-homology: Physical algebra
    • Applications of $\mathbb{Z}_2$-homology: A topological superhero
    • Simplicial $\mathbb{Z}$-homology: Getting oriented
    • Singular homology: Abstracting objects to maps
    • The end: A beginning--reflections on topology and learning
    • Appendix: Group theory background
    • Index

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