Topology through inquiry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
MAA Press: an imprint of the American Mathematical Society
[2019]
|
| Series: | AMS/MAA textbooks
VOL 58 |
| Subjects: | |
| Item Description: | Includes index |
| Physical Description: | xiii, 313 pages Illustrationen, Diagramme |
| ISBN: | 9781470452766 |
Staff View
MARC
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| 100 | 1 | |a Starbird, Michael |d 1948- |e Verfasser |0 (DE-588)133918068 |4 aut | |
| 245 | 1 | 0 | |a Topology through inquiry |c Michael Starbird and Francis Su |
| 264 | 1 | |a Providence, Rhode Island |b MAA Press: an imprint of the American Mathematical Society |c [2019] | |
| 300 | |a xiii, 313 pages |b Illustrationen, Diagramme | ||
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| 500 | |a Includes index | ||
| 505 | 8 | |a 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 | |
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Record in the Search Index
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| any_adam_object | |
| author | Starbird, Michael 1948- |
| author_GND | (DE-588)133918068 (DE-588)1206195193 |
| author_facet | Starbird, Michael 1948- |
| author_role | aut |
| author_sort | Starbird, Michael 1948- |
| author_variant | m s ms |
| building | Verbundindex |
| bvnumber | BV046444380 |
| classification_rvk | SK 280 |
| 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 |
| ctrlnum | (OCoLC)1142139545 (DE-599)BVBBV046444380 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV046444380 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:44:47Z |
| institution | BVB |
| isbn | 9781470452766 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031856379 |
| oclc_num | 1142139545 |
| open_access_boolean | |
| owner | DE-20 DE-188 |
| owner_facet | DE-20 DE-188 |
| physical | xiii, 313 pages Illustrationen, Diagramme |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | MAA Press: an imprint of the American Mathematical Society |
| record_format | marc |
| series | AMS/MAA textbooks |
| series2 | AMS/MAA textbooks |
| spelling | Starbird, Michael 1948- Verfasser (DE-588)133918068 aut Topology through inquiry Michael Starbird and Francis Su Providence, Rhode Island MAA Press: an imprint of the American Mathematical Society [2019] xiii, 313 pages Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier AMS/MAA textbooks VOL 58 Includes 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 Topologie (DE-588)4060425-1 gnd rswk-swf Topology General topology / Instructional exposition (textbooks, tutorial papers, etc.) Algebraic topology / Instructional exposition (textbooks, tutorial papers, etc.) Topologie (DE-588)4060425-1 s DE-604 Su, Francis Sonstige (DE-588)1206195193 oth AMS/MAA textbooks VOL 58 (DE-604)BV045059717 58 |
| spellingShingle | Starbird, Michael 1948- Topology through inquiry AMS/MAA textbooks 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 Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4060425-1 |
| title | Topology through inquiry |
| title_auth | Topology through inquiry |
| title_exact_search | Topology through inquiry |
| title_full | Topology through inquiry Michael Starbird and Francis Su |
| title_fullStr | Topology through inquiry Michael Starbird and Francis Su |
| title_full_unstemmed | Topology through inquiry Michael Starbird and Francis Su |
| title_short | Topology through inquiry |
| title_sort | topology through inquiry |
| topic | Topologie (DE-588)4060425-1 gnd |
| topic_facet | Topologie |
| volume_link | (DE-604)BV045059717 |
| work_keys_str_mv | AT starbirdmichael topologythroughinquiry AT sufrancis topologythroughinquiry |