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Topology of Surfaces
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Topology of Surfaces - nuovo livro

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… mais…

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Topology of Surfaces, Hardcover by Kinsey, Christine L., Brand New, Free ship...
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Topology of Surfaces, Hardcover by Kinsey, Christine L., Brand New, Free ship... - nuovo livro

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… mais…

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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) - primeira edição

1993

ISBN: 9780387941028

Edição encadernada

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, … mais…

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Kinsey, L.Christine:
Topology of Surfaces (Undergraduate Texts in Mathematics) - encadernada, livro de bolso

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) - encadernada, livro de bolso

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.

Dados detalhados do livro - Topology of Surfaces (Undergraduate Texts in Mathematics)


EAN (ISBN-13): 9780387941028
ISBN (ISBN-10): 0387941029
Livro de capa dura
Livro de bolso
Ano de publicação: 2007
Editor/Editora: Springer
296 Páginas
Peso: 0,608 kg
Língua: eng/Englisch

Livro na base de dados desde 2007-04-28T17:31:30-03:00 (Sao Paulo)
Página de detalhes modificada pela última vez em 2023-12-29T16:55:22-03:00 (Sao Paulo)
Número ISBN/EAN: 0387941029

Número ISBN - Ortografia alternativa:
0-387-94102-9, 978-0-387-94102-8
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: kinsey, christine, michael spivak, block
Título do livro: surfaces, undergraduate topology


Dados da editora

Autor: L.Christine Kinsey
Título: Undergraduate Texts in Mathematics; Topology of Surfaces
Editora: Springer; Springer US
281 Páginas
Ano de publicação: 1993-10-08
New York; NY; US
Língua: Inglês
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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