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Topology and Geometry [Graduate Texts in Mathematics, 139]

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Parametry przedmiotu

Stan
Dobry: Książka, która była czytana, ale nadal jest w dobrym stanie. Na okładce widoczne są ...
ISBN
9780387979267
Subject Area
Mathematics
Publication Name
Topology and Geometry
Item Length
9.3 in
Publisher
Springer New York
Subject
Geometry / General, Topology
Series
Graduate Texts in Mathematics Ser.
Publication Year
1997
Type
Textbook
Format
Hardcover
Language
English
Author
Glen E. Bredon
Features
Revised
Item Width
6.1 in
Item Weight
76.5 Oz
Number of Pages
Xiv, 557 Pages

O tym produkcie

Product Information

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.

Product Identifiers

Publisher
Springer New York
ISBN-10
0387979263
ISBN-13
9780387979267
eBay Product ID (ePID)
1124971

Product Key Features

Author
Glen E. Bredon
Publication Name
Topology and Geometry
Format
Hardcover
Language
English
Features
Revised
Subject
Geometry / General, Topology
Series
Graduate Texts in Mathematics Ser.
Publication Year
1997
Type
Textbook
Subject Area
Mathematics
Number of Pages
Xiv, 557 Pages

Dimensions

Item Length
9.3 in
Item Width
6.1 in
Item Weight
76.5 Oz

Additional Product Features

LCCN
92-031618
Intended Audience
Scholarly & Professional
Series Volume Number
139
Number of Volumes
1 Vol.
Lc Classification Number
Qa611-614.97
Volume Number
Vol. Xiv
Edition Description
Revised Edition
Reviews
G.E. Bredon Topology and Geometry "An interesting and original graduate text in topology and geometry. The topics covered include . . . general topology, smooth manifolds, homology and homotopy groups, duality, cohomology and products . . . a good lecturer can use this text to create a fine course at the appropriate level . . . There are various innovative things, which are accessible but not traditionally covered. A beginning graduate student can use this text to learn a great deal of mathematics."--MATHEMATICAL REVIEWS, G.E. Bredon Topology and Geometry "An interesting and original graduate text in topology and geometry. The topics covered include . . . general topology, smooth manifolds, homology and homotopy groups, duality, cohomology and products . . . a good lecturer can use this text to create a fine course at the appropriate level . . . There are various innovative things, which are accessible but not traditionally covered. A beginning graduate student can use this text to learn a great deal of mathematics."'e"MATHEMATICAL REVIEWS, G.E. BredonTopology and Geometry"An interesting and original graduate text in topology and geometry. The topics covered include . . . general topology, smooth manifolds, homology and homotopy groups, duality, cohomology and products . . . a good lecturer can use this text to create a fine course at the appropriate level . . . There are various innovative things, which are accessible but not traditionally covered. A beginning graduate student can use this text to learn a great deal of mathematics." �MATHEMATICAL REVIEWS, G.E. Bredon Topology and Geometry "An interesting and original graduate text in topology and geometry. The topics covered include . . . general topology, smooth manifolds, homology and homotopy groups, duality, cohomology and products . . . a good lecturer can use this text to create a fine course at the appropriate level . . . There are various innovative things, which are accessible but not traditionally covered. A beginning graduate student can use this text to learn a great deal of mathematics."-MATHEMATICAL REVIEWS, G.E. Bredon Topology and Geometry "An interesting and original graduate text in topology and geometry. The topics covered include . . . general topology, smooth manifolds, homology and homotopy groups, duality, cohomology and products . . . a good lecturer can use this text to create a fine course at the appropriate level . . . There are various innovative things, which are accessible but not traditionally covered. A beginning graduate student can use this text to learn a great deal of mathematics."a? MATHEMATICAL REVIEWS
Table of Content
I General Topology.- II Differentiable Manifolds.- III Fundamental Group.- IV Homology Theory.- V Cohomology.- VI Products and Duality.- VII Homotopy Theory.- Appendices.- App. A. The Additivity Axiom.- App. B. Background in Set Theory.- App. C. Critical Values.- App. D. Direct Limits.- App. E. Euclidean Neighborhood Retracts.- Index of Symbols.
Copyright Date
1993
Dewey Decimal
514/.2
Dewey Edition
21
Illustrated
Yes

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