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Topology of Surfaces
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Topology of Surfaces - new book

ISBN: 9780387941028

" . . . that famous pedagogical method whereby one begins with the general and proceeds to the particular only after the student is too confused to understand even that anymore. " Michael… More...

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ISBN: 0387941029

Topology of Surfaces, Hardcover by Kinsey, Christine L., ISBN 0387941029, ISBN-13 9780387941028, Brand New, Free shipping in the USA text for an undergraduate course in geometric topology… More...

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Topology of Surfaces (Undergraduate Texts in Mathematics) - Kinsey, L.Christine
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Kinsey, L.Christine:
Topology of Surfaces (Undergraduate Texts in Mathematics) - First edition

1993

ISBN: 9780387941028

Hardcover

Springer, Gebundene Ausgabe, Auflage: 1st ed. 1993. Corr. 2nd printing 1997, 291 Seiten, Publiziert: 1993-10-08T00:00:01Z, Produktgruppe: Buch, 1.31 kg, Verkaufsrang: 4193370, Geometrie, … More...

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Kinsey, L.Christine:
Topology of Surfaces (Undergraduate Texts in Mathematics) - hardcover

ISBN: 9780387941028

Springer, 1993-10-08. Hardcover. New. New. In shrink wrap. Looks like an interesting title!, Springer, 1993-10-08, 6

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Kinsey, L.Christine:
Topology of Surfaces (Undergraduate Texts in Mathematics) - hardcover

ISBN: 9780387941028

hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book., 2.5

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Topology of Surfaces (Undergraduate Texts in Mathematics)

This book aims to provide undergraduates with an understanding of geometric topology. Topics covered include a sampling from point-set, geometric, and algebraic topology. The presentation is pragmatic, avoiding the famous pedagogical method "whereby one begins with the general and proceeds to the particular only after the student is too confused to understand it." Exercises are an integral part of the text. Students taking the course should have some knowledge of linear algebra. An appendix provides a brief survey of the necessary background of group theory.

Details of the book - Topology of Surfaces (Undergraduate Texts in Mathematics)


EAN (ISBN-13): 9780387941028
ISBN (ISBN-10): 0387941029
Hardcover
Paperback
Publishing year: 2007
Publisher: Springer
296 Pages
Weight: 0,608 kg
Language: eng/Englisch

Book in our database since 2007-04-28T21:31:30+01:00 (London)
Detail page last modified on 2023-12-29T19:55:22+00:00 (London)
ISBN/EAN: 0387941029

ISBN - alternate spelling:
0-387-94102-9, 978-0-387-94102-8
Alternate spelling and related search-keywords:
Book author: kinsey, christine, michael spivak, block
Book title: surfaces, undergraduate topology


Information from Publisher

Author: L.Christine Kinsey
Title: Undergraduate Texts in Mathematics; Topology of Surfaces
Publisher: Springer; Springer US
281 Pages
Publishing year: 1993-10-08
New York; NY; US
Language: English
61,55 € (DE)

BB; Hardcover, Softcover / Mathematik/Geometrie; Topologie; Verstehen; Separation axiom; compactness; topological invariant; topology; Topology; BC

1. Introduction to topology.- 1.1. An overview.- 2. Point-set topology in ?n.- 2.1. Open and closed sets in ?n.- 2.2. Relative neighborhoods.- 2.3. Continuity.- 2.4. Compact sets.- 2.5. Connected sets.- 2.6. Applications.- 3. Point-set topology.- 3.1. Open sets and neighborhoods.- 3.2. Continuity, connectedness, and compactness.- 3.3. Separation axioms.- 3.4. Product spaces.- 3.5. Quotient spaces.- 4. Surfaces.- 4.1. Examples of complexes.- 4.2. Cell complexes.- 4.3. Surfaces.- 4.4. Triangulations.- 4.5. Classification of surfaces.- 4.6. Surfaces with boundary.- 5. The euler characteristic.- 5.1. Topological invariants.- 5.2. Graphs and trees.- 5.3. The euler characteristic and the sphere.- 5.4. The euler characteristic and surfaces.- 5.5. Map-coloring problems.- 5.6. Graphs revisited.- 6. Homology.- 6.1. The algebra of chains.- 6.2. Simplicial complexes.- 6.3. Homology.- 6.4. More computations.- 6.5. Betti numbers and the euler characteristic.- 7. Cellular functions.- 7.1. Cellular functions.- 7.2. Homology and cellular functions.- 7.3. Examples.- 7.4. Covering spaces.- 8. Invariance of homology.- 8.1. Invariance of homology for surfaces.- 8.2. The Simplicial Approximation Theorem.- 9. Homotopy.- 9.1. Homotopy and homology.- 9.2. The fundamental group.- 10. Miscellany.- 10.1. Applications.- 10.2. The Jordan Curve Theorem.- 10.3. 3-manifolds.- 11. Topology and calculus.- 11.1. Vector fields and differential equations in ?n.- 11.2. Differentiable manifolds.- 11.3. Vector fields on manifolds.- 11.4. Integration on manifolds.- Appendix: Groups.- References.

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