| Document Type
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BL
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| Record Number
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644327
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| Doc. No
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dltt
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| Main Entry
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Roe, John,1959-
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| Title & Author
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Winding around : : the winding number in topology, geometry, and analysis /\ John Roe
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| Series Statement
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Student mathematical library ;; volume 76
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| Page. NO
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xiii, 269 pages :: illustrations ;; 22 cm
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| ISBN
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9781470421984
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: 1470421984
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Contents
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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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| Subject
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Mathematical analysis-- Foundations
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| Subject
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Associative law (Mathematics)
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| Subject
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Symmetric functions
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| Subject
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Commutative law (Mathematics)
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| LC Classification
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QA299.8.R64 2015
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QA299.8.R64 2015
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