This volume introduces the topology subseries of the EMS (there is a separate subseries on general topology). The author has collected the most important results of modern topology together with the motivating examples and applications, with a particular emphasis on geometry. Besides graduate students in topology, geometers and theoretical physicists at an advanced level should also find EMS 12 useful.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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Softcover. Octavo, 319 pages. In Very Good condition. Spine is yellow with yellow print on blue banner. Illustrated: b&w "With 78 Figures"- title page. NOTE: Shelved in Netdesk Column G. 1379477. FP New Rockville Stock. N° de réf. du vendeur 1379477
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This up-to-date survey of the whole field of topology is the flagship of the topology subseries of the Encyclopaedia. The book gives an overview of various subfields, beginning with the elements and proceeding right up to the present frontiers of researc. N° de réf. du vendeur 5044868
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Introduction In the present essay, we attempt to convey some idea of the skeleton of topology, and of various topological concepts. It must be said at once that, apart from the necessary minimum, the subject-matter of this survey does not indude that subdiscipline known as 'general topology' - the theory of general spaces and maps considered in the context of set theory and general category theory. (Doubtless this subject will be surveyed in detail by others. ) With this qualification, it may be daimed that the 'topology' dealt with in the present survey is that mathematieal subject whieh in the late 19th century was called Analysis Situs, and at various later periods separated out into various subdisciplines: 'Combinatorial topology', 'Algebraic topology', 'Differential (or smooth) topology', 'Homotopy theory', 'Geometrie topology'. With the growth, over a long period of time, in applications of topology to other areas of mathematics, the following further subdisciplines crystallizedout: the global calculus of variations, global geometry, the topology of Lie groups and homogeneous spaces, the topology of complex manifolds and alge braic varieties, the qualitative (topologieal) theory of dynamical systems and foliations, the topology of elliptic and hyperbolic partial differential equations. Finally, in the 1970s and 80s, a whole complex of applications of topologie al methods was made to problems of modern physiesj in fact in several instances it would have been impossible to understand the essence of the real physical phenomena in question without the aid of concepts from topology. N° de réf. du vendeur 9783642057359
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Introduction In the present essay, we attempt to convey some idea of the skeleton of topology, and of various topological concepts. It must be said at once that, apart from the necessary minimum, the subject-matter of this survey does not indude that subdiscipline known as 'general topology' - the theory of general spaces and maps considered in the context of set theory and general category theory. (Doubtless this subject will be surveyed in detail by others. ) With this qualification, it may be daimed that the 'topology' dealt with in the present survey is that mathematieal subject whieh in the late 19th century was called Analysis Situs, and at various later periods separated out into various subdisciplines: 'Combinatorial topology', 'Algebraic topology', 'Differential (or smooth) topology', 'Homotopy theory', 'Geometrie topology'. With the growth, over a long period of time, in applications of topology to other areas of mathematics, the following further subdisciplines crystallizedout: the global calculus of variations, global geometry, the topology of Lie groups and homogeneous spaces, the topology of complex manifolds and alge braic varieties, the qualitative (topologieal) theory of dynamical systems and foliations, the topology of elliptic and hyperbolic partial differential equations. Finally, in the 1970s and 80s, a whole complex of applications of topologie al methods was made to problems of modern physiesj in fact in several instances it would have been impossible to understand the essence of the real physical phenomena in question without the aid of concepts from topology.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 332 pp. Englisch. N° de réf. du vendeur 9783642057359
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This up-to-date survey of the whole field of topology is the flagship of the topology subseries of the Encyclopaedia. The book gives an overview of various subfields, beginning with the elements and proceeding right up to the present frontiers of research. 332 pp. Englisch. N° de réf. du vendeur 9783642057359
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