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.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Topology from the Differentiable Viewpoint canonical | 2 |
| "Topology from the Differentiable Viewpoint" | 1 |
Statements (42)
| 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.
this entity surface form:
"Topology from the Differentiable Viewpoint"
subject surface form:
John Milnor