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Matériel obligatoire et recommandé
Introduction to topological manifolds
Lee, John
Éditeur : SPRINGER NATURE
ISBN papier: 387950265
Code produit : 1134284
Catégorisation :
Livres /
Science /
Mathématique /
Aide et mise à niveau
Formats disponibles
| Format | Qté. disp. | Prix* | Commander |
|---|---|---|---|
| Livre papier | En rupture de stock** |
Prix membre : 58,50 $ Prix non-membre : 58,50 $ |
*Les prix sont en dollars canadien. Taxes et frais de livraison en sus.
**Ce produits est en rupture de stock mais sera expédié dès qu'ils sera disponible.
Description
This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. A course on manifolds differs from most other introductory mathematics graduate courses in that the subject matter is often completely unfamiliar. Unlike algebra and analysis, which all math majors see as undergraduates, manifolds enter the curriculum much later. It is even possible to get through an entire undergraduate mathematics education without ever hearing the word 'manifold'. Yet manifolds are part of the basic vocabulary of modern mathematics, and students need to know them as intimately as they know the integers, the real numbers, Euclidean spaces, groups, rings, and fields. In his beautifully conceived introduction, the author motivates the technical developments to follow by explaining some of the roles manifolds play in diverse branches of mathematics and physics. Then he goes on to introduce the basics of general topology and continues with the fundamental group, covering spaces, and elementary homology theory. Manifolds are introduced early and used as the main examples throughout. John M. Lee is currently Professor of Mathematics at the University of Washington.
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