Fundamentals of Algebraic Topology

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

54,80 €

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 4-7 Werktage

Kategorien:

Beschreibung

This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and results are stated in a form that emphasizes practical use over maximal generality. Moreover, to better reveal the logical structure of the subject, the separate roles of algebra and topology are illuminated.
Assuming a background in point-set topology, Fundamentals of Algebraic Topology covers the canon of a first-year graduate course in algebraic topology: the fundamental group and covering spaces, homology and cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology beyond the fundamentals are guided by a short but carefully annotated bibliography.

Über den Autor

Steven H. Weintraub is Professor of Mathematics at Lehigh University. He is the author of Galois Theory and Algebra: An Approach via Module Theory (with W. A. Adkins).

Zusammenfassung

Covers the essential results of algebraic topology in a concise and pragmatic manner

Provides an introduction to manifolds, CW complexes, and homotopy theory

Explains applications of algebraic topology to problems in topology and algebra

Reveals the logical structure of the subject by illuminating the separate roles of algebra and topology

Inhaltsverzeichnis

Preface.- 1. The Basics.- 2. The Fundamental Group.- 3. Generalized Homology Theory.- 4. Ordinary Homology Theory.- 5. Singular Homology Theory.- 6. Manifolds.- 7. Homotopy Theory.- 8. Homotopy Theory.- A. Elementary Homological Algebra.- B. Bilinear Forms.- C. Categories and Functors.- Bibliography.- Index.

Details

Erscheinungsjahr:	2016
Fachbereich:	Geometrie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Graduate Texts in Mathematics
Inhalt:	x 163 S. 82 s/w Illustr. 163 p. 82 illus.
ISBN-13:	9781493948857
ISBN-10:	1493948857
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Weintraub, Steven H.
Auflage:	Softcover reprint of the original 1st edition 2014
Hersteller:	Springer Springer US, New York, N.Y. Graduate Texts in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 10 mm
Von/Mit:	Steven H. Weintraub
Erscheinungsdatum:	10.09.2016
Gewicht:	0,277 kg