Topology from the Differentiable Viewpoint

E265521

"Topology from the Differentiable Viewpoint" is a classic introductory monograph on differential topology that presents key concepts such as smooth manifolds, vector bundles, and characteristic classes in a concise and accessible style.

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Predicate Object
instanceOf book ⓘ
mathematics monograph ⓘ
textbook on differential topology ⓘ
author John W. Milnor ⓘ
linked to: John Milnor
coversConcept cobordism ideas ⓘ
normal bundles ⓘ
orientation of manifolds ⓘ
smooth maps between manifolds ⓘ
submanifolds ⓘ
field differential topology ⓘ
topology ⓘ
genre mathematics textbook ⓘ
monograph ⓘ
hasAudience advanced undergraduates in mathematics ⓘ
graduate students in mathematics ⓘ
researchers learning differential topology ⓘ
hasReputation standard introduction to Milnor’s approach to differential topology ⓘ
influenced subsequent textbooks on differential topology ⓘ
isConsidered classic text in differential topology ⓘ
language English ⓘ
pedagogicalApproach emphasis on geometric intuition ⓘ
focus on low-dimensional examples ⓘ
rigorous but concise exposition ⓘ
style accessible ⓘ
concise ⓘ
introductory ⓘ
subject characteristic classes ⓘ
differentiable structures ⓘ
homotopy theory aspects of differential topology ⓘ
immersions and embeddings ⓘ
smooth manifolds ⓘ
vector bundles ⓘ
topic Euler class ⓘ
Pontryagin classes ⓘ
Stiefel–Whitney classes ⓘ
degree of a map ⓘ
differentiable manifolds ⓘ
intersection theory in differential topology ⓘ
tangent bundles ⓘ
transversality ⓘ
vector bundle theory ⓘ
usedAs reference for introductory differential topology courses ⓘ

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Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

John Milnor → hasWritten → Topology from the Differentiable Viewpoint ⓘ
Princeton Mathematical Series → workIncluded → "Topology from the Differentiable Viewpoint" ⓘ
linked to: Topology from the Differentiable Viewpoint
John Milnor → notableWork → Topology from the Differentiable Viewpoint ⓘ
subject linked to: Milnor