Essential Topology

Martin D. Crossley - Collection Springer Undergraduate Mathematics Series (SUMS)

224 pages, parution le 31/08/2005

Ajouter à une liste

Indisponible

Résumé

Taking a direct route, Essential Topology brings the most important aspects of modern topology within reach of a second-year undergraduate student. Based on courses given at the University of Wales Swansea, it begins with a discussion of continuity and, by way of many examples, leads to the celebrated "Hairy Ball theorem" and on to homotopy and homology: the cornerstones of contemporary algebraic topology.

While containing all the key results of basic topology, Essential Topology never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples that clarify the ideas and motivate the student, reflecting the fact that these are often the key examples behind current research.

With chapters on:

continuity and topological spaces
deconstructionist topology
the Euler number
homotopy groups including the fundamental group
simplicial and singular homology, and
fibre bundles

Essential Topology contains enough material for two semester-long courses, and offers a one-stop-shop for undergraduate-level topology, leaving students motivated for postgraduate study in the field, and well-prepared for it.

Written for:

2nd and 3rd year undergraduate mathematics students

Sommaire

Introduction
Continuous Functions
Topological Spaces
Interlude
Topological Properties
Deconstructionist Topology
Interlude
Homotopy
The Euler Number
Homotopy Groups
Simplicial Homology
Singular Homology
More Deconstructionism
Solutions to Selected Exercises
Bibliography
Index

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Martin D. Crossley
Collection	Springer Undergraduate Mathematics Series (SUMS)
Parution	31/08/2005
Nb. de pages	224
Format	17,5 x 23,5
Couverture	Broché
Poids	471g
Intérieur	Noir et Blanc
EAN13	9781852337827
ISBN13	978-1-85233-782-7