5 edition of **Topology and Geometry** found in the catalog.

- 185 Want to read
- 18 Currently reading

Published
**1993**
by Springer in New York, USA
.

Written in English

This book is intended as a textbook for a first-year graduate course on algebraic topology, with a strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all topologists will want students to see, including surfaces, Lie groups, and fibre bundle theory.

With a thoroughly modern point of view, it is the first truly new textbook in topology since Spanier, almost 25 years ago. Although the book is comprehensive, there is no attempt made to present the material in excessive generality, except where generality improves the efficiency and clarity of the presentation.

--back cover

**Edition Notes**

Series | Graduate Texts in Mathematics |

The Physical Object | |
---|---|

Format | Hardcover |

Pagination | xiv, 557p. |

ID Numbers | |

Open Library | OL24549110M |

ISBN 10 | 0387979263 |

ISBN 10 | 9780387979267 |

OCLC/WorldCa | 802702401, 26503954 |

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Topology and Geometry "An interesting and original graduate text in topology and geometry. The topics covered include Topology and Geometry book 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 levelCited by: Introduction to Topology and Geometry, Second Edition is an excellent introductory text for topology and geometry courses at the upper-undergraduate level.

In addition, the book serves as an ideal reference for professionals interested in gaining a deeper understanding of the topic.1/5(1). The book begins with an introduction of general topology (open sets, continuous functions etc.

up to topological groups) which is very good. The second part is on differential topology, and then the remainder of the book covers algebraic topology (homotopy and (co)homology), and the coverage is quite extensive/5(3).

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 levelBrand: Springer-Verlag New York.

Download books "Mathematics - Geometry and Topology". Ebook library | B–OK. Download books for free. Find books. 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 asLeibniz indicated the desirability of creating a geometry of the topological type.

The establishment of topology. Mathematics – Introduction to Topology Winter Example Suppose f and g are functions in a space X = {f: [0,1] → R}. Does d(f,g) =max|f −g| deﬁne a metric. Again, in order to check that d(f,g) is a metric, we must check that this function satisﬁes the above criteria.

Topology and Geometry. The golden age of mathematics-that was not the age of Euclid, it is ours. KEYSER This time of writing is the hundredth anniversary of the publication () of Poincare's first note on topology, which arguably marks the beginning of the subject of algebraic, or "combinatorial," topology.5/5(2).

Thurston’s Three-Dimensional Geometry and Topology, Vol. 1 (Princeton University Press, ) is a considerable expansion of the ﬁrst few chapters of these notes. Later chapters have not yet appeared in book form. Please send corrections to Silvio Levy at [email protected] Size: 1MB.

This is a really basic book, that does much more than just topology and geometry: It starts off with linear algebra, spends a lot of time on differential equations and eventually gets to e.g.

differential forms. Fecko - Differential Geometry and Lie Groups for Physicists.