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Winding around : the winding number in topology, geometry, and analysis
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| Auteur principal : | |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Winding around : the winding number in topology, geometry, and analysis / John Roe |
| Publié : |
Providence (R.I.), [State college] :
American Mathematical Society
, cop. 2015 Mathematics advanced study semesters |
| Description matérielle : | 1 vol. (XIII-269 p.) |
| Collection : | Student mathematical library ; 76 |
| Sujets : | |
| Documents associés : | Autre format:
Winding around |
- Prelude: Love, Hate, and Exponentials
- Paths and Homotopies
- The Winding Number
- Topology of the Plane
- Integrals and the Winding Number
- Vector Fields and the Rotation Number
- The Winding Number in Functional Analysis
- Coverings and the Fundamental Group
- Coda: The Bott Periodicity Theorem
- Appendix A: Linear Algebra
- Appendix B: Metric Spaces
- Appendix C: Extension and Approximation Theorems
- Appendix D: Measure Zero
- Appendix E: Calculus on Normed Spaces
- Appendix F: Hilbert Space
- Appendix G: Groups and Graphs