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Topology through inquiry / Michael Starbird and Francis Su.

By: Starbird, Michael [author.].
Contributor(s): Su, Francis Edward [author.].
Material type: TextTextSeries: AMS/MAA textbooks, volume 58.Publisher: Providence, Rhode Island : MAA Press: an imprint of the American Mathematical Society, [2019]Description: xiii, 313 pages : USD 59.00 illustrations ; 26 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470462611.Subject(s): Topology | General topology -- Instructional exposition (textbooks, tutorial papers, etc.) | Algebraic topology -- Instructional exposition (textbooks, tutorial papers, etc.)DDC classification: 514 Other classification: 54-01 | 55-01
Contents:
Preface: Four ways to use this book -- Introduction: The enchanting world of 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 -- 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, simplexes, complexes, and triangulability : building blocks -- Simplicial Z₂-homology : physical algebra -- Applications of Z₂-homology : a topological superhero -- Simplicial Z-homology : getting oriented -- Singular homology : abstracting objects to maps -- The end : a beginning-reflections on topology and learning.
List(s) this item appears in: 2021-12-09
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks 		514 STA (Browse shelf) Available 10936
Total holds: 0

Includes bibliographical references and index.

Preface: Four ways to use this book -- Introduction: The enchanting world of 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 -- 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, simplexes, complexes, and triangulability : building blocks -- Simplicial Z₂-homology : physical algebra -- Applications of Z₂-homology : a topological superhero -- Simplicial Z-homology : getting oriented -- Singular homology : abstracting objects to maps -- The end : a beginning-reflections on topology and learning.