000			03379nam a22004213i 4500
001			EBC1901527
003			MiAaPQ
005			20240729123319.0
006			m o d |
007			cr cnu||||||||
008			240724s1982 xx o ||||0 eng d
020			_a9781483262536 _q(electronic bk.)
020			_z9780121030605
035			_a(MiAaPQ)EBC1901527
035			_a(Au-PeEL)EBL1901527
035			_a(CaPaEBR)ebr11008691
035			_a(CaONFJC)MIL687124
035			_a(OCoLC)898771742
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA612.B533 1967eb
100	1		_aBlackett, Donald W.
245	1	0	_aElementary Topology : _bA Combinatorial and Algebraic Approach.
250			_a1st ed.
264		1	_aSan Diego : _bElsevier Science & Technology, _c1982.
264		4	_c©1982.
300			_a1 online resource (237 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
505	0		_aFront Cover -- Elementary Topology: A Combinatorial and Algebraic Approach -- Copyright Page -- Table of Contents -- PREFACE TO THE REVISED EDITION -- PREFACE -- CHAPTER 1. SOME EXAMPLES OF SURFACES -- 1.1 Coordinates on a Sphere and Torus -- 1.2 The Topological Sphere and Torus -- 1.3 Properties of the Sphere and Torus -- 1.4 The Cylinder and Möbius Band -- 1.5 Additional Representations of the Möbius Band -- 1.6 The Projective Plane -- EXERCISES -- CHAPTER 2. THE CLASSIFICATION OF SURFACES -- 2.1 Surfaces and Their Equations -- 2.2 Combinatorial Equivalence -- 2.3 The Canonical Equation -- 2.4 Combinatorial Invariants of a Surface -- 2.5 Topological Surfaces -- EXERCISES -- CHAPTER 3. COMPLEX CONICS AND COVERING SURFACES -- 3.1 Complex Conies -- 3.2 Covering Surfaces -- 3.3 Some Additional Examples of Riemann Surfaces -- EXERCISES -- CHAPTER 4. MAPPINGS INTO THE SPHERE -- 4.1 Winding Number of a Plane Curve -- 4.2 Mappings into the Plane -- 4.3 The Brouwer Degree -- 4.4 Applications of the Winding Number in Complex Analysis -- EXERCISES -- CHAPTER 5. VECTOR FIELDS -- 5.1 Vector Fields on the Plane -- 5.2 A Geographical Application -- 5.3 Vector Fields and Hydrodynamics -- 5.4 Vector Fields and Differential Equations -- 5.5 Vector Fields on a Sphere -- 5.6 Mappings of a Sphere into Itself -- EXERCISES -- CHAPTER 6. NETWORK TOPOLOGY -- 6.1 Introduction -- 6.2 Boundary and Coboundary -- 6.3 Paths, Circuits, and Trees -- 6.4 Basic Circuits -- 6.5 The Kirch hoff-Maxwell Laws -- 6.6 A Transportation Problem -- EXERCISES -- CHAPTER 7. SOME THREE-DIMENSIONAL TOPOLOGY -- 7.1 Three-Dimensional Manifolds -- 7.2 Orientability -- 7.3 Manifolds of Configurations -- 7.4 Topological Products and Fiber Bundles -- EXERCISES -- BIBLIOGRAPHY -- INDEX.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aAlgebraic topology.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aBlackett, Donald W. _tElementary Topology _dSan Diego : Elsevier Science & Technology,c1982 _z9780121030605
797	2		_aProQuest (Firm)
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=1901527 _zClick to View
999			_c45195 _d45195