LEADER 03569nam 2200613Ia 450 001 9910461904403321 005 20200520144314.0 010 $a0-88385-933-5 035 $a(CKB)2670000000205150 035 $a(EBL)3330421 035 $a(SSID)ssj0000577613 035 $a(PQKBManifestationID)11399460 035 $a(PQKBTitleCode)TC0000577613 035 $a(PQKBWorkID)10577925 035 $a(PQKB)11192045 035 $a(UkCbUP)CR9780883859339 035 $a(MiAaPQ)EBC3330421 035 $a(Au-PeEL)EBL3330421 035 $a(CaPaEBR)ebr10729392 035 $a(OCoLC)929120340 035 $a(EXLCZ)992670000000205150 100 $a20111102d1966 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFirst concepts of topology$b[electronic resource] $ethe geometry of mappings of segments, curves, circles and disks /$fby William G. Chinn and N.E. Steenrod 210 $aWashington, D.C. $cMathematical Association of America$d1966 215 $a1 online resource (169 p.) 225 0 $aThe Anneli Lax new mathematical library ;$v18 300 $aIncludes index. 311 $a0-88385-618-2 327 $a""Front Cover""; ""First Concepts of Topology: The Geometry of Mappings of Segments, Curves, Circles, and Disks""; ""Copyright Page""; ""Contents""; ""Introduction""; ""Part I: Existence Theorems in Dimension 1""; ""1. The first existence theorem""; ""2. Sets and functions""; ""3. Neighborhoods and continuity""; ""4. Open sets and closed sets""; ""5. The completeness of the real number system""; ""6. Compactness""; ""7. Connectedness""; ""8. Topological properties and topological equivalences""; ""9. A fixed point theorem""; ""10. Mappings of a circle into a line"" 327 $a""11. The pancake problems""""12. Zeros of polynomials""; ""Part II: Existence Theorems in Dimension 2""; ""13. Mappings of a plane into itself""; ""14. The disk""; ""15. Initial attempts to formulate the main theorem""; ""16. Curves and closed curves""; ""17. Intuitive definition of winding number""; ""18. Statement of the main theorem""; ""19. When is an argument not a proof?""; ""20. The angle swept out by a curve""; ""21. Partitioning a curve into short curves""; ""22. The winding number W(I??, I?³)""; ""23. Properties of A(I??, I?³) and W(I??, I?³)""; ""24. Homotopies of curves"" 327 $a""25. Constancy of the winding number""""26. Proof of the main theorem""; ""27. The circle winds once about each interior point""; ""28. The fixed point property""; ""29. Vector fields""; ""30. The equivalence of vector fields and mappings""; ""31. The index of a vector field around a closed curve""; ""32. The mappings of a sphere into a plane""; ""33. Dividing a ham sandwich""; ""34. Vector fields tangent to a sphere""; ""35. Complex numbers""; ""36. Every polynomial has a zero""; ""37. Epilogue: A brief glance at higher dimensional cases""; ""Solutions for Exercises""; ""Index"" 327 $a""Back Cover"" 330 $aOver 150 problems and solutions. 410 0$aAnneli Lax New Mathematical Library 606 $aTopology 606 $aGeometry 608 $aElectronic books. 615 0$aTopology. 615 0$aGeometry. 676 $a514 700 $aChinn$b William G$0862638 701 $aSteenrod$b Norman Earl$f1910-1971.$041684 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910461904403321 996 $aFirst concepts of topology$91925632 997 $aUNINA LEADER 02071nas 2200541- 450 001 996414047603316 005 20230125213019.0 011 $a2688-5956 035 $a(DE-599)ZDB3063563-9 035 $a(OCoLC)1112606466 035 $a(CKB)4100000011891986 035 $a(CONSER)--2019202452 035 $a(EXLCZ)994100000011891986 100 $a20190820a19999999 --- a 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aJournal for economic educators 210 1$aMurfreesboro, TN :$cDepartment of Economics and Finance, Middle Tennessee State University,$d1999- 300 $aRefereed/Peer-reviewed 517 1 $aJFEE 531 0 $aJ. econ. educ. 606 $aEconomics$xStudy and teaching$zUnited States$vPeriodicals 606 $aEconomics$xStudy and teaching (Higher)$zUnited States$vPeriodicals 606 $aFinance$xStudy and teaching$zUnited States$vPeriodicals 606 $aFinance$xStudy and teaching (Higher)$zUnited States$vPeriodicals 606 $aEconomics$xStudy and teaching$2fast$3(OCoLC)fst00902224 606 $aEconomics$xStudy and teaching (Higher)$2fast$3(OCoLC)fst00902235 606 $aFinance$xStudy and teaching$2fast$3(OCoLC)fst00924421 606 $aFinance$xStudy and teaching (Higher)$2fast$3(OCoLC)fst00924424 607 $aUnited States$2fast 608 $aPeriodicals.$2fast 615 0$aEconomics$xStudy and teaching 615 0$aEconomics$xStudy and teaching (Higher) 615 0$aFinance$xStudy and teaching 615 0$aFinance$xStudy and teaching (Higher) 615 7$aEconomics$xStudy and teaching. 615 7$aEconomics$xStudy and teaching (Higher) 615 7$aFinance$xStudy and teaching. 615 7$aFinance$xStudy and teaching (Higher) 676 $a330.071 712 02$aMiddle Tennessee State University.$bDepartment of Economics and Finance. 906 $aJOURNAL 912 $a996414047603316 996 $aJournal for economic educators$92574528 997 $aUNISA LEADER 01520oam 2200409 a 450 001 9910700984903321 005 20130108134314.0 035 $a(CKB)5470000002413175 035 $a(OCoLC)812535209 035 $a(EXLCZ)995470000002413175 100 $a20121011d2008 ua 0 101 0 $aeng 135 $aurmn||||a|||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDHS' role in state and local fusion centers Is evolving$b[electronic resource] 210 1$aWashington,DC :$cU.S. Dept. of Homeland Security, Office of Inspector General,$d[2008] 215 $a1 online resource (57 pages) $cmap 300 $a"December 2008." 300 $a"OIG-09-12." 300 $aTitle from title screen (viewed on Oct. 11, 2012). 320 $aIncludes bibliographical references. 517 3 $aDepartment of Homeland Security role in state and local fusion centers Is evolving 606 $aInteragency coordination$zUnited States 606 $aTerrorism$xPrevention$xInformation resources management$zUnited States 606 $aIntelligence service$xComputer networks$zUnited States 615 0$aInteragency coordination 615 0$aTerrorism$xPrevention$xInformation resources management 615 0$aIntelligence service$xComputer networks 801 0$bGPO 801 1$bGPO 801 2$bGPO 906 $aBOOK 912 $a9910700984903321 996 $aDHS' role in state and local fusion centers Is evolving$93215253 997 $aUNINA