From Geometry to Topology

Courier Dover Publications, 1974 - 186 Seiten

This introduction to topology eases first-year math students and general readers into the subject by surveying its concepts in a descriptive and intuitive way, attempting to build a bridge from the familiar concepts of geometry to the formalized study of topology. The first three chapters focus on congruence classes defined by transformations in real Euclidean space. As the number of permitted transformations increases, these classes become larger, and their common topological properties become intuitively clear. Chapters 4 - 12 give a largely intuitive presentation of selected topics. In the remaining five chapters, the author moves to a more conventional presentation of continuity, sets, functions, metric spaces, and topological spaces. Exercises and Problems. 101 black-and-white illustrations. 1974 edition.

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Inhalt

I	1

II	9

III	17

IV	20

V	33

VI	40

VII	58

VIII	70

X	84

XI	90

XII	101

XIII	117

XIV	125

XV	134

XVI	150

XVII	156

IX	78

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From geometry to topology

Graham Flegg
Auszug - 1974

Häufige Begriffe und Wortgruppen

annulus bicontinuous bijection boundary curve calculus centre Chapter circle Clearly closed path closed surface codomain complete segment concept continuous non-self-intersecting closed corresponding cross cross-cap cylinder defined definition deformed denoted depicted in Figure disc distance distinct regions domain elements equivalence classes Euclidean space Euler characteristic example finite geometry given hence holes homeomorphic integer interval intuitive invariant inverse joined Jordan curve theorem Klein bottle line segment manifold mathematics metric space Moebius band neighbourhood non-self-intersecting closed curves number of intersections number of vertices odd vertices one-one one-sided open set open subset open surface pair plane diagram polygonal path possible preserved problems real numbers real projective plane rectangle regular map removed respectively rigid transformations rotation satisfies separated set of points set of real sides simply connected sphere straight line symbolic representation termed theory topological property topological space topologically equivalent total number two-fold torus two-sided surfaces vertex whilst

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From geometry to topology. - / 1974 - Livros
FLEGG, Graham. From geometry to topology. London: English Universities Press, 1974. 186 p. ISBN 0340053240 : Número de Chamada: top -
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From Geometry to Topology · From Geometry to Topology di H. Graham Flegg, Graham Flegg - Dover Publications - September 2001. Prezzo: € 13.71 ...
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*From geometry to topology / H. Graham Flegg. - Mineola (NY) : Dover, 2001. - XII, 186 p. : ill. ; 22 cm. ((Ripr. dell'ed.: New York : Crane, Russak & Co, ...
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166, From geometry to topology / H. Graham Flegg, 514 FLE, المكتبة المركزية. 167, From geometry to topology / H. Graham Flegg, 514 FLE, المكتبة المركزية ...
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Bibliografische Informationen

Titel	From Geometry to Topology Dover Books on Mathematics
Autor	Graham Flegg
Ausgabe	illustriert, Neuauflage
Verlag	Courier Dover Publications, 1974
ISBN	0486138496, 9780486138497
Länge	186 Seiten

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