Author:
Roe, John, 1959-
Imprint:Providence, Rhode Island : American Mathematical Society, [2015]
Descriptionxiii, 269 pages : illustrations ; 22 cm.
Note:"Mathematics advanced study semesters."
Note: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.
Bibliography Note:Includes bibliographical references and index.
