Isbn: 9780387979267 - topology and geometry (graduate texts in mathematics, 139, band 139) (15 Ergebnisse)

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Hardback. Zustand: New. This book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all topologists will want students to see, including surfaces, Lie groups and fibre bundle theory. 1st Corrected ed. 2002. Corr. 3rd printing 1997. …

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The golden age of mathematics-that was not the age of Euclid, it is ours. C. J. KEYSER This time of writing is the hundredth anniversary of the publication (1892) of Poincare's first note on topology, which arguably marks the beginning of the subject of algebraic, or 'combinatorial,' topology. There was earlier scattered work by Euler, Listing (who coined the word 'topology'), Mobius and his band, Riemann, Klein, and Betti. Indeed, even as early as 1679, Leibniz indicated the desirability of creating a geometry of the topological type. The establishment of topology (or 'analysis situs' as it was often called at the time) as a coherent theory, however, belongs to Poincare. Curiously, the beginning of general topology, also called 'point set topology,' dates fourteen years later when Frechet published the first abstract treatment of the subject in 1906. Since the beginning of time, or at least the era of Archimedes, smooth manifolds (curves, surfaces, mechanical configurations, the universe) have been a central focus in mathematics. They have always been at the core of interest in topology. After the seminal work of Milnor, Smale, and many others, in the last half of this century, the topological aspects of smooth manifolds, as distinct from the differential geometric aspects, became a subject in its own right.…

Hardback. Zustand: New. This book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all topologists will want students to see, including surfaces, Lie groups and fibre bundle theory. 1st Corrected ed. 2002. Corr. 3rd printing 1997. …

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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: 'An interesting and original graduate text in topology and geometry.a good lecturer can use this text to create a fine course.A beginning graduate student can use this text to learn a great deal of mathematics.'--MATHEMATICAL REVIEWS 580 pp. Englisch.…

Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: .…

Hardback. Zustand: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days.

Buch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all topologists will want students to see, including surfaces, Lie groups and fibre bundle theory.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 580 pp. Englisch. …