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Differential topology / Morris W. Hirsch
Titre : Differential topology Type de document : texte imprimé Auteurs : Morris W. Hirsch Editeur : New York : Springer-Verlag Année de publication : 1976 Importance : x, 221 p. Présentation : ill. Format : 18x25 cm. ISBN/ISSN/EAN : 978-0-387-90148-0 Note générale : Éditeur : Springer-Verlag New York Inc.; 1st ed. 1976. Corr. 6th printing 1997 édition (16 septembre 1997)
Langue : Anglais
Relié : 222 pages
ISBN-10 : 0387901485
ISBN-13 : 978-0387901480
Poids de l'article : 1.14 kg
Dimensions : 15.6 x 1.42 x 23.39 cmLangues : Français (fre) Mots-clés : Differential topology manifolds and maps finction spaces transversality vector bundles degrees intersectionnumbers morse theory cobordism isotopy surfaces functions spaces vector bundles and tubular neighborhoods degrees,intersection numbres,and the euler characteristic Index. décimale : 516 Géométrie Résumé : This book gives the reader a thorough knowledge of the basic topological ideas necessary for studying differential manifolds. These topics include immersions and imbeddings, approach techniques, and the Morse classification of surfaces and their cobordism. The author keeps the mathematical prerequisites to a minimum; this and the emphasis on the geometric and intuitive aspects of the subject make the book an excellent and useful introduction for the student. There are numerous excercises on many different levels ranging from practical applications of the theorems to significant further development of the theory and including some open research problems.
sommaire:
1-manifolds and maps
2-functions spaces
3-transversality
4-vector bundles and tubular neighborhoods
5-degrees,intersection numbres,and the euler characteristic
6-morse theory
7-cobordism
8-isotopy
9-surfacesNote de contenu : bibliographiy
appendix
indexDifferential topology [texte imprimé] / Morris W. Hirsch . - New York : Springer-Verlag, 1976 . - x, 221 p. : ill. ; 18x25 cm.
ISBN : 978-0-387-90148-0
Éditeur : Springer-Verlag New York Inc.; 1st ed. 1976. Corr. 6th printing 1997 édition (16 septembre 1997)
Langue : Anglais
Relié : 222 pages
ISBN-10 : 0387901485
ISBN-13 : 978-0387901480
Poids de l'article : 1.14 kg
Dimensions : 15.6 x 1.42 x 23.39 cm
Langues : Français (fre)
Mots-clés : Differential topology manifolds and maps finction spaces transversality vector bundles degrees intersectionnumbers morse theory cobordism isotopy surfaces functions spaces vector bundles and tubular neighborhoods degrees,intersection numbres,and the euler characteristic Index. décimale : 516 Géométrie Résumé : This book gives the reader a thorough knowledge of the basic topological ideas necessary for studying differential manifolds. These topics include immersions and imbeddings, approach techniques, and the Morse classification of surfaces and their cobordism. The author keeps the mathematical prerequisites to a minimum; this and the emphasis on the geometric and intuitive aspects of the subject make the book an excellent and useful introduction for the student. There are numerous excercises on many different levels ranging from practical applications of the theorems to significant further development of the theory and including some open research problems.
sommaire:
1-manifolds and maps
2-functions spaces
3-transversality
4-vector bundles and tubular neighborhoods
5-degrees,intersection numbres,and the euler characteristic
6-morse theory
7-cobordism
8-isotopy
9-surfacesNote de contenu : bibliographiy
appendix
indexRéservation
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