• Media type: Book
  • Title: Winding around : the winding number in topology, geometry, and analysis
  • Contains: Prelude: Love, Hate, and ExponentialsPaths 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.
  • Contributor: Roe, John [VerfasserIn]
  • imprint: [Providence, Rhode Island]: American Mathematical Society, Mathematics Advanced Study Semesters, [2015]
  • Published in: American Mathematical Society: Student mathematical library ; 76
  • Extent: xiii, 269 Seiten; Illustrationen, Diagramme
  • Language: English
  • ISBN: 9781470421984; 1470421984
  • RVK notation: SK 300 : Algebraische Topologie
    SK 370 : Differentialgeometrie, Tensoranalysis
  • Keywords: Analysis > Assoziativgesetz > Symmetrische Funktion > Kommutativgesetz
    Algebraische Topologie
    Differentialgeometrie
    Windungszahl
  • Origination:
  • Footnote: Includes bibliographical references and index
  • Description: 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

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  • Shelf-mark: SK 300 R698
  • Item ID: 35064693