the winding number in topology, geometry, and analysis /
First Statement of Responsibility
John Roe
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiii, 269 pages :
Other Physical Details
illustrations ;
Dimensions
22 cm
SERIES
Series Title
Student mathematical library ;
Volume Designation
volume 76
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index
CONTENTS NOTE
Text of 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