Topology: Point-set and Geometric - Couverture rigide

Shick, Paul L.

 
9780470096055: Topology: Point-set and Geometric
Couverture rigide
ISBN 10 : 0470096055 ISBN 13 : 9780470096055
Editeur : Wiley-Interscience, 2007

Synopsis

The essentials of point-set topology, complete with motivation and numerous examples

Topology: Point-Set and Geometric presents an introduction to topology that begins with the axiomatic definition of a topology on a set, rather than starting with metric spaces or the topology of subsets of Rn. This approach includes many more examples, allowing students to develop more sophisticated intuition and enabling them to learn how to write precise proofs in a brand-new context, which is an invaluable experience for math majors.

Along with the standard point-set topology topics--connected and path-connected spaces, compact spaces, separation axioms, and metric spaces--Topology covers the construction of spaces from other spaces, including products and quotient spaces. This innovative text culminates with topics from geometric and algebraic topology (the Classification Theorem for Surfaces and the fundamental group), which provide instructors with the opportunity to choose which "capstone" best suits his or her students.

Topology: Point-Set and Geometric features:

  • A short introduction in each chapter designed to motivate the ideas and place them into an appropriate context
  • Sections with exercise sets ranging in difficulty from easy to fairly challenging
  • Exercises that are very creative in their approaches and work well in a classroom setting
  • A supplemental Web site that contains complete and colorful illustrations of certain objects, several learning modules illustrating complicated topics, and animations of particularly complex proofs

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

PAUL L. SHICK, PhD, is Professor in the Department of Mathematics and Computer Science at John Carroll University in Cleveland, Ohio. He earned a PhD in Mathematics from Northwestern University in 1984, working in the area of stable homotopy theory. He remains active in research in algebraic topology.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Wiley-Interscience
Date d'édition
2007
Langue
anglais
ISBN 10 
0470096055
ISBN 13 
9780470096055
Reliure
Relié
Nombre de pages
296
Coordonnées du fabricant
non disponible
Personne responsable
non disponible