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 Milnor
surface form: John W. 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

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
this entity surface form: "Topology from the Differentiable Viewpoint"
Milnor notableWork Topology from the Differentiable Viewpoint
subject surface form: John Milnor