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Description Field Ind Field Data
Leader LDR cam i 00
Control # 1 hbl99072926
Control # Id 3 GCG
Date 5 20190911110907.0
Fixed Data 8 150513t20152015riua b 001 0 eng
LC Card 10    $a 2015019246
ISBN 20    $a9781470421984 (alk. paper)
ISBN 20    $a1470421984 (alk. paper)
Obsolete 39    $a302453$cTLC
Cat. Source 40    $aDLC$beng$cDLC$erda$dDLC$dGCG
Authen. Ctr. 42    $apcc
LC Call 50 00 $aQA299.8$b.R64 2015
Dewey Class 82 00 $a515$223
Other Call # 84    $a55M25$a57M05$a47A53$a58A10$a55N15$2msc
ME:Pers Name 100 $aRoe, John,$d1959-
Title 245 10 $aWinding around :$bthe winding number in topology, geometry, and analysis /$cJohn Roe.
Imprint 260    $aProvidence, Rhode Island :$bAmerican Mathematical Society,$c[2015]
Phys Descrpt 300    $axiii, 269 pages :$billustrations ;$c22 cm.
Tag 336 336    $atext$2rdacontent
Tag 337 337    $aunmediated$2rdamedia
Tag 338 338    $avolume$2rdacarrier
Series:Diff 490 $aStudent mathematical library ;$vvolume 76
Note:General 500    $a"Mathematics advanced study semesters."
Note:Bibliog 504    $aIncludes bibliographical references and index.
Note:Content 505 $aPrelude: 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.
Subj:Topical 650  0 $aMathematical analysis$xFoundations.
Subj:Topical 650  0 $aAssociative law (Mathematics)
Subj:Topical 650  0 $aSymmetric functions.
Subj:Topical 650  0 $aCommutative law (Mathematics)
SE:Ufm Title 830  0 $aStudent mathematical library.