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Topology and Geometry - Glen E. Bredon
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Topology and Geometry - neues Buch

2010, ISBN: 9781441931030

ID: 698317493

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. Topology and Geometry Bücher > Fremdsprachige Bücher > Englische Bücher Taschenbuch 19.11.2010 Buch (fremdspr.), Springer, .201

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Topology and Geometry - Glen E. Bredon
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Topology and Geometry - neues Buch

ISBN: 9781441931030

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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. Topology and Geometry Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Topology and Geometry - Glen E. Bredon
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Glen E. Bredon:
Topology and Geometry - neues Buch

ISBN: 9781441931030

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Topology and Geometry 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-1-4419-3103-0, Springer

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Topology and Geometry (Graduate Texts in Mathematics) - Glen E. Bredon
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2010, ISBN: 1441931031

[SR: 453870], Paperback, [EAN: 9781441931030], Springer, Springer, Book, [PU: Springer], 2010-11-19, Springer, This book offers an introductory course in algebraic topology. Starting with general topology, it...., 923006, Higher Education, 922526, Education, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278353, Geometry & Topology, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570936, Geometry, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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Topology and Geometry (Graduate Texts in Mathematics) - Bredon, Glen E.
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Details zum Buch
Topology and Geometry (Graduate Texts in Mathematics)
Autor:

Bredon, Glen E.

Titel:

Topology and Geometry (Graduate Texts in Mathematics)

ISBN-Nummer:

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

Detailangaben zum Buch - Topology and Geometry (Graduate Texts in Mathematics)


EAN (ISBN-13): 9781441931030
ISBN (ISBN-10): 1441931031
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
578 Seiten
Gewicht: 0,836 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 01.04.2008 16:16:01
Buch zuletzt gefunden am 18.05.2017 15:30:44
ISBN/EAN: 1441931031

ISBN - alternative Schreibweisen:
1-4419-3103-1, 978-1-4419-3103-0


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